Some back issues of Eureka are available for sale.

We are gradually making back issues of Eureka available online. The following is a summary of the past issues of Eureka, with links where any part of the issue is available online; full tables of contents follow this list.

- Eureka 1 (January 1939) [contents]
- Eureka 2 (May 1939) [contents]
- Eureka 3 (January 1940) [contents]
- Eureka 4 (May 1940) [contents]
- Eureka 5 (January 1941) [contents]
- Eureka 6 (May 1941) [contents]
- Eureka 7 (March 1942) [contents]
- Eureka 8 (February 1944) [contents]
- Eureka 9 (April 1947) [contents]
- Eureka 10 (March 1948) [contents]
- Eureka 11 (January/February 1949) [contents]
- Eureka 12 (October 1949) [contents]
- Eureka 13 (October 1950) [contents]
- Eureka 14 (October 1951) [contents]
- Eureka 15 (October 1952) [contents]
- Eureka 16 (October 1953) [contents]
- Eureka 17 (October 1954) [contents]
- Eureka 18 (November 1955) [contents]
- Eureka 19 (March 1957) [contents]
- Eureka 20 (October 1957) [contents]
- Eureka 21 (October 1958) [contents]
- Eureka 22 (October 1959) [contents]
- Eureka 23 (October 1960) [contents]
- Eureka 24 (October 1961) [contents]
- Eureka 25 (October 1962) [contents]
- Eureka 26 (October 1963) [contents]
- Eureka 27 (October 1964) [contents]
- Eureka 28 (October 1965) [contents]
- Eureka 29 (October 1966) [contents]
- Eureka 30 (October 1967) [contents]
- Eureka 31 (October 1968) [contents]
- Eureka 32 (October 1969) [contents]
- Eureka 33 (October 1970) [contents]
- Eureka 34 (October 1971) [contents]
- Eureka 35 (October 1972) [contents]
- Eureka 36 (October 1973) [contents]
- Eureka 37 (October 1974) [contents]
- Eureka 38 (1975/76) [contents]
- Eureka 39 (April 1978) [contents]
- Eureka 40 (June 1979) [contents]
- Eureka 41 (Summer 1981) [contents]
- Eureka 42 (Summer 1982) [contents]
- Eureka 43 (Easter 1983) [contents]
- Eureka 44 (Spring 1984) [contents]
- Eureka 45 (January 1985) [contents]
- Eureka 46 (January 1986) [contents]
- Eureka 47 (February 1987) [contents]
- Eureka 48 (March 1988) [contents]
- Eureka 49 (March 1989) [contents]
- Eureka 50 (April 1990) [contents]
- Eureka 51 (March 1992) [contents]
- Eureka 52 (March 1993) [contents]
- Eureka 53 (February 1994) [contents]
- Eureka 54 (March 1996) [contents]
- Eureka 55 (June 2001; second printing April 2002) [contents]
- Eureka 56 (March 2004) [contents]
- Eureka 57 (May 2005) [contents]

The following are lists of contents of all past issues (erratum sheets not yet included), with links to the articles where available. For Eureka 55, the list relates to the second printing, the only difference from the contents of the first printing being that an obituary of Cedric A. B. Smith was added. (There were also many corrections, a new date on the title page and an additional note in the Editorial.) We are not aware of any other issues having been produced in multiple versions.

Editors: F. J. Collinson and E. P. Hicks and A. Jackson

Article title | Authors | Pages |
---|---|---|

Front matter | F. J. Collinson and E. P. Hicks and A. Jackson | front cover-2 |

Advertisement | Macmillan | inside front cover |

Editorial | F. J. Collinson and E. P. Hicks and A. Jackson | 2 |

Discontinuities of the Directors' Circle | The Editors | 3-4 |

Looking Back | E. T. E. | 5-6 |

The Edinburgh Honours Maths. Degree | N. Walls | 6-8 |

Mathematics and Genetics | 8 | |

Star-gazers | 8 | |

Mathematics and Chess | I. J. Good | 9-11 |

Examiners Appointed | 11 | |

Our Anthem? | The Archimedeans' Secretary | 12-13 |

The Mathematical Association - I | A. W. Siddons | 13-15 |

Clear Thinking | J. F. O'Donovan | 15 |

The Value of a Mathematical Education | J. M. Craddock | 16-17 |

A Mathematical Crossword | E. P. H. and C. H. B. | 17 |

The Publication of Mécanique Analytique | M. W. B. Paterson | 18-20 |

Solutions to Problems on page 15 | J. F. O'Donovan | 20 |

Differentiation | F. J. Collinson | 21-22 |

Student Opinion | 23-24 | |

Chess Problems | J. F. O'Donovan | 24-25 |

Ballade of Geometrical Confusion | 25 | |

Book Reviews | V. R. C. and E. P. H. | 26-27 |

The Duodecimal Scale | 27 | |

Advertisement | Bowes & Bowes | 28 |

Advertisement | W. Heffer & Sons Ltd. [Printers] | 28 |

Advertisement | W. Heffer & Sons Ltd. [Bookshop] | inside back cover |

Advertisement | Deighton, Bell & Co., Ltd. | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: F. J. Collinson and A. Jackson and J. Rudd

Article title | Authors | Pages |
---|---|---|

Front matter | F. J. Collinson and A. Jackson and J. Rudd | front cover-2 |

Advertisement | W. Heffer & Sons Ltd. [Bookshop] | inside front cover |

Editorial | F. J. Collinson and A. Jackson and J. Rudd | 2 |

Undergraduate Mathematics in America | R. P. Boas, Jun. | 3-6 |

Mathematics and Games | P. M. Grundy | 6-8 |

Jobs for Geometers? | 8 | |

Beware of the Haggis! | D. G. K. | 9 |

The Sons of the Dons | R. Turner | 9-10 |

On the Teaching of Undergraduate Mathematics | W. Rudge | 10-13 |

The Archimedeans' Questionnaire | 13-16 | |

Antisymmetric Crossword | Aias | 16-17 |

Relativity | 17 | |

The Mathematical Association - II | A. W. Siddons | 18-19 |

Mathematics in Oxford | The Invariants' Secretary | 19-21 |

Meteorology | 21 | |

The Oxford University Invariant Society | 21 | |

Newnham Nightmare | Double Six | 22 |

Sonia Kovalevsky | V. R. Cane | 23-26 |

Integration | F. J. Collinson | 27-28 |

Solution to "A Mathematical Crossword" | E. P. H. and C. H. B. | 28 |

Mathematical Biology | 28 | |

Advertisement | Bowes & Bowes | inside back cover |

Advertisement | W. Heffer & Sons Ltd. [Printers] | inside back cover |

Advertisement | Deighton, Bell & Co., Ltd. | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood

Article title | Authors | Pages |
---|---|---|

Front matter | G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood | front cover-1 |

Editorial | G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood | 1-2 |

The Why and How of the Archimedeans | The President | 2-4 |

5-Minute Problem | C. A. B. S. | 4 |

Mathematics in War-Time | G. H. Hardy | 5-8 |

Clerihews | 8 | |

Mathematical Tripos, Part | C. A. B. Smith | 9-10 |

Vector Analysis | K. C. Bowen | 10-11 |

What Modern Algebra is About | P. Hall | 12-14 |

The Mathematics of Bridge | C. H. Braybrook | 14-17 |

Evacuees | R. E. Goddard | 17 |

A Numerical Square | S. E. W. | 18 |

Solution of Antisymetric Crossword | 18 | |

Ruler and Compasses | E. C. Thompson | 19-21 |

A Note on Notation | H. A. Elliott | 22-24 |

Solution of 5-Minute Problem | C. A. B. S. | 24 |

The Last of the Classics | M. W. B. Paterson | 25-27 |

Book Reviews | W. R. and R. J. and J. E. L. C. | 27-28 |

Back matter | W. Heffer & Sons Ltd. | 28 |

Advertisement | Deighton, Bell & Co., Ltd | back cover |

Editors: G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood

Article title | Authors | Pages |
---|---|---|

Front matter | G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood | 1 |

What Quantum Theory is About | P. A. M. Dirac | 2-4 |

Problem for Poultry Farmers | R. S. S. | 4 |

Mathematical Tripos. Part III | 5 | |

Is This What You Think? | W. R. and P. J. W. | 6-8 |

British Student Congress: Leeds, 1940 | D. J. H. | 8-9 |

"Almost Isosceles" Right-Angled Triangles | P. E. Trier | 9-11 |

To all Geometers | 11 | |

King's College (Lond.) Maths. Society | The Secretary | 12-13 |

What is a Mathematician? | Harold Jeffreys | 13-15 |

Crosswords | 16 | |

Mass Observation | D. J. Halliday | 17-20 |

Letter to the Editors | H. Pétard | 20 |

Numerical Acrostic | 20 | |

On the Problem of the Sons of the Dons | K. Tweedie | 21-23 |

Joint Committee | 23 | |

Syllabus of Part | C. A. B. S. | 24 |

Book Reviews | N. B. S. and E. M. T. and A. J. F. T. and C. H. E. W. and J. T. | 25-28 |

Notice | G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood | 28 |

Advertisement | Fitzbillies | 28 |

Back matter | W. Heffer & Sons Ltd. | 28 |

Advertisement | Bowes and Bowes (Cambridge) Ltd. | inside back cover |

Advertisement | Dorothy Café | inside back cover |

Advertisement | Deighton, Bell & Co. Limited | back cover |

Editors: K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood

Article title | Authors | Pages |
---|---|---|

Front matter | K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood | 1 |

Archimedeans' Activities | J. L. K. and C. S. B. and J. T. H. and J. B. P. | 2-3 |

Modern Geometry | W. V. D. Hodge | 4-6 |

Mathematicians in the Army | J. G. Oldroyd | 6 |

A New Way of Writing Numbers | C. A. B. Smith | 7-9 |

Faculty News | H. A. E. | 9-10 |

Crosswordiness | I. J. Good | 10-11 |

Piccadilly Underground Station | G. A. Roberts | 12 |

A Theorem in Geometry | S. N. Collings | 12-13 |

Vignère's Cipher | M. E. Pulvermacher | 13-14 |

Solutions of Problems | 15 | |

The Solid Angles of a Tetrahedron | R. S. Scorer | 16-17 |

Another Mathematician's Apology | E. Cunningham | 17-19 |

A Crossword in Decimals | E. M. White | 20 |

Round the Table | J. B. Parker | 20-21 |

The Euclidean Spook | D. B. Scott | 21-24 |

Undergraduate Council Report | C. S. B. | 24 |

Book Reviews | D. B. S. and H. A. E. and J. G. O. and R. S. S. and J. T. H. and B. D. B. and K. R. A. | 25-28 |

Advertisement | Fitzbillies | 28 |

Back matter | W. Heffer & Sons Ltd. | 28 |

Advertisement | Bowes and Bowes (Cambridge) Ltd. | inside back cover |

Advertisement | Dorothy Café | inside back cover |

Advertisement | Deighton, Bell & Co. Limited | back cover |

Editors: K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice

Article title | Authors | Pages |
---|---|---|

Front matter | K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice | 1 |

Archimedeans' Activities | R. F. B. and J. L. K. | 2-4 |

An Undergraduate Apology | D. J. T. and R. S. S. | 4-7 |

The Kingdom of Mathematica | R. C. Lyness | 7 |

The Faking of Genetical Results | J. B. S. Haldane | 8-10 |

Solutions of Problems | 10-11 | |

Geodesia | J. G. Oldroyd | 11 |

Reform of School Mathematics | A. Robson | 12-14 |

Modern Physical Theory and Mathematics | M. J. H. Moyal | 14-16 |

Extensions of the Playfair Cipher | F. T. M. Smith | 16-17 |

Analysis | M. L. Cartwright | 18-21 |

Some Missing-Figure Divisions | The President | 21-24 |

N.U.S. Congress, 1941 | R. F. Braybrook | 25-26 |

Advertisement | Miller's | 26 |

A Simple Acrostic | 27 | |

Book Reviews | R. L. W. and J. G. O. | 27-28 |

Advertisement | Fitzbillies | 28 |

Back matter | W. Heffer & Sons Ltd. | 28 |

Advertisement | Bowes and Bowes (Cambridge) Ltd. | inside back cover |

Advertisement | Dorothy Café | inside back cover |

Advertisement | Deighton, Bell & Co. Limited | back cover |

Editors: J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker

Article title | Authors | Pages |
---|---|---|

Front matter | J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker | front cover-1 |

Editorial | J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker | 1 |

Archimedeans' Activities | K. H. S. and V. W. D. H. | 2 |

An Editor's Apology | J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker | 2 |

Undergraduate Council Report | G. C. T. | 3 |

Untitled note | J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker | 3 |

Finitism | R. L. Goodstein | 4-8 |

A Three-Dimensional Jig-Saw | P. M. Grundy | 8-10 |

Mathematics and the Naval Officer | G. A. Clarkson | 11-13 |

Untitled poem | Arcus | 13 |

A Mathematical Crossword | The President | 14-15 |

A Mathematical Cipher | Harold Simpson | 15-16 |

Untitled quotation | Robert Recorde | 16 |

Untitled poem | Arcus | 16 |

Untitled observation | 16 | |

A Shuffling Problem | T. H. R. Skyrme | 17-18 |

Notations for Rotations | Bertha Jeffreys | 19-20 |

The Early Days of the Calculus | S. Lilley | 21-25 |

Solutions of May Problems | J. G. O. | 25 |

Solution to Crossword | The President | 25 |

Are you Hard and Sharp, or Soft and Vague? | M. H. A. Newman | 26-28 |

Untitled question | 28 | |

Untitled poem | Arcus | 28 |

Untitled note | J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker | 29 |

Book Review | J. M. R. | 29 |

Advertisement | Fitzbillies | 30 |

Advertisement | Galloway & Porter Ltd. | 30 |

Advertisement | W. Heffer & Sons Ltd. | 31 |

Advertisement | Bowes and Bowes (Cambridge) Ltd. | 32 |

Back matter | W. Heffer & Sons Ltd. | 32 |

Advertisement | Deighton, Bell & Co. Limited | back cover |

Editors: P. Brodetsky

Article title | Authors | Pages |
---|---|---|

Front matter | P. Brodetsky | front cover-1 |

Editorial | P. Brodetsky | 1-2 |

Archimedeans' Activities | A. O. L. A. and V. A. | 2 |

N.U.S. Congress, 1943 | 3 | |

A Proof that Every Equation has a Root | F. J. Dyson | 3-4 |

Pyramid Patience | B. D. Price | 5-7 |

A Remark on the Schröder-Bernstein Theorem | G. Kreisel | 7 |

On a Geometric Trifle | G. Kreisel | 8-9 |

Some Guesses in the Theory of Partitions | F. J. Dyson | 10-15 |

Short Vision | A. C. Falconer | 15 |

Book Review | A. O. L. A. | 16 |

Back matter | W. Heffer & Sons Ltd. | 16 |

Editors: A. M. Macbeath

Article title | Authors | Pages |
---|---|---|

Front matter | A. M. Macbeath | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | A. M. Macbeath | 2 |

The Archimedeans | V. W. D. H. and R. V. B. | 2-3 |

On Reading Encyclopaedias | S. Lilley | 3-5 |

Some Fundamental Equations of Astronautics | D. F. Lawden | 5-9 |

The Coloured Cubes Problem | F. de Carteblanche | 9-11 |

A Problem on Orchards | G. C. Shephard | 11-14 |

Semi-Linear Functions | A. F. Ruston | 14-16 |

A Method of Describing Cassini's Ovals | F. T. M. Smith | 16-17 |

Latin Squares | H. A. Thurston | 18-21 |

A Three-colour Problem | Blanche Descartes | 21 |

House Numbers | R. A. Rankin | 21-22 |

The Umbrella Problem | 22 | |

Fermat's Last Theorem | H. A. Thurston | 22 |

Advertisement | The Dugout | 23 |

Advertisement | Fitzbillies | 24 |

Advertisement | Miller's | 24 |

Crossword | 25 | |

Book Reviews | A. M. M. and V. W. D. H. and F. H. | 26-28 |

Advertisement | Galloway & Porter Ltd. | 28 |

Back matter | W. Heffer & Sons Ltd. | 28 |

Advertisement | Bowes and Bowes (Cambridge) Ltd. | inside back cover |

Advertisement | Dorothy Café | inside back cover |

Advertisement | Deighton, Bell & Co. Ltd. | back cover |

Editors: G. C. Shephard

Article title | Authors | Pages |
---|---|---|

Front matter | G. C. Shephard | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | G. C. Shephard | 2 |

The Archimedeans | A. M. M. | 2 |

Newton's Principia | D. W. J. Cruickshank | 3-5 |

Note on a Diophantine Equation | Diogenes | 5 |

A Property of the Golden Number | D. B. Sawyer | 6-7 |

The Cambridge Mathematical Laboratory | R. V. Baron | 7 |

An Alphabet | Pluto | 8-9 |

Back Numbers | G. C. Shephard | 9 |

Some Ratio Theorems | G. C. Shephard | 10-12 |

Lines to a Don | Sucra | 12 |

Experimental Arithmetic | D. R. Hartree | 13-18 |

A Tennis Problem | J. S. R. Chisholm | 18 |

Untitled poem | Sucra | 18 |

Crossword | 19 | |

The Deltoid | A. M. Macbeath | 20-23 |

Solutions to Problems in Eureka No. 9 | 24-25 | |

Book Reviews | A. E. I. and V. W. D. H. and J. A. T. and G. C. S. and E. S. P. | 26-29 |

The Mathematical Association | 29 | |

Analysis Amoris, or Love Confounded | V. R. C. | 29 |

Advertisement | Waffle Cafe | 30 |

Advertisement | Students' Bookshops Limited | 30 |

Advertisement | Thurston's Café | 31 |

Advertisement | University Cameras | 31 |

Advertisement | Livingstone Restaurant | 31 |

Advertisement | Camtax Ltd. | 32 |

Advertisement | Eros Café, Ltd. | 32 |

Advertisement | Jack Carter | 33 |

Advertisement | Green Park Restaurant | 33 |

Advertisement | Fitzbillies | 34 |

Advertisement | Dorothy Café | 34 |

Advertisement | The Dugout | 35 |

Advertisement | Galloway & Porter Ltd. | 35 |

Advertisement | Bowes & Bowes | 36 |

Advertisement | Deighton, Bell & Co. Ltd. | inside back cover |

Advertisement | Friar House Restaurant | inside back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: G. C. Shephard

Article title | Authors | Pages |
---|---|---|

Front matter | G. C. Shephard | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Editorial | G. C. Shephard | 2 |

The Archimedeans | J. S. R. C. | 2 |

The Fundamental Theorem of the New Geometry | N. A. Routledge | 3-4 |

Query | Sucra | 4 |

Noughts and Crosses | G. E. Felton and R. H. Macmillan | 5-9 |

Back Numbers | G. C. Shephard | 9 |

The Problems Drive | G. C. S. | 10-11 |

An Unsolved Problem | 11 | |

Untitled poem | Sucra | 11 |

Crossword | 12 | |

Ruler and Compasses | J. Leech | 13-17 |

Two Problems on Cats | 17 | |

Members of Parliament - A Problem in Abstract Algebra | H. A. Thurston | 18 |

Untitled poem | 18 | |

A Note on Fermat's Last Theorem and the Mersenne Numbers | C. B. Haselgrove | 19-22 |

Remark on the Motion of Tops in reply to Query | A mathematic Top | 22 |

E.D.S.A.C. | D. J. Wheeler | 23-25 |

The Mathematical Association | 25 | |

Solutions to Cat Problems | 25 | |

The Deltoid (II) | A. M. Macbeath | 26-29 |

Book Review | R. J. T. | 29 |

Potter's Orchard | I. Bridges | 30 |

Solutions to Problems in this Issue | 30-31 | |

Solutions to Problems in Eureka No. 10 | 31 | |

Advertisement | Eros Café | 32 |

Advertisement | Jack Carter | 32 |

Advertisement | Fitzbillies | 33 |

Advertisement | Galloway & Porter Ltd. | 33 |

Advertisement | Livingstone Restaurant | 33 |

Advertisement | Friar House Restaurant | 34 |

Advertisement | Green Park Restaurant | 34 |

Advertisement | Bowes & Bowes | 35 |

Advertisement | Dorothy Café Ballroom | 36 |

Advertisement | George Dennington | 36 |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: G. C. Shephard

Article title | Authors | Pages |
---|---|---|

Front matter | G. C. Shephard | front cover-1 |

Advertisement | Bowes & Bowes | inside front cover |

Advertisement | Gradzinski | inside front cover |

Editorial | G. C. Shephard | 2 |

The Archimedeans | J. S. R. C. | 2 |

Gambling for Gain | G. H. Toulmin | 3-4 |

Cross Number Puzzle | 4 | |

Untitled note | G. C. Shephard | 4 |

The Deltoid (III) | A. M. Macbeath | 5-6 |

Two Problems on Frameworks | 6 | |

The Problems Drive | 7-8 | |

The Mathematician and Human Beings | B. N. Wates | 9-11 |

Back Numbers | G. C. Shephard | 11 |

Crossword | 12 | |

A Very Short History of Mathematics | W. W. O. Schlesinger and A. R. Curtis | 13-15 |

Solutions to Problems Drive | 15 | |

The Mathematical Association | 16 | |

Untitled problem | 16 | |

Solutions to Problems in Eureka No. 11 | 17 | |

Advertisement | W. Heffer & Sons Ltd. | 18 |

Advertisement | George Dennington | 18 |

Advertisement | Fitzbillies | 19 |

Advertisement | Jack Carter | 19 |

Advertisement | Friar House Restaurant | 20 |

Advertisement | J. S. Wilson & Son | 20 |

Advertisement | Allen-Lyman Secretarial Bureau | 20 |

Advertisement | Chartwell | inside back cover |

Advertisement | Livingstone Restaurant | inside back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: G. H. Toulmin

Article title | Authors | Pages |
---|---|---|

Front matter | G. H. Toulmin | front cover-1 |

Advertisement | Bowes & Bowes | inside front cover |

Advertisement | Dean & Dawson Ltd. | inside front cover |

Advertisement | Fitzbillies | i |

Advertisement | Deighton, Bell & Co., Limited | i |

Advertisement | Livingstone Restaurant | i |

Advertisement | Camtax | ii |

Advertisement | University Typewriting Office Limited | ii |

Advertisement | Gardenia Restaurant | ii |

Editorial | G. H. Toulmin | 2 |

The Archimedeans | J. H. | 2 |

Greek Metamathematics | N. A. Routledge | 3-4 |

The First Year of the Edsac | S. Gill | 5-6 |

Two Dissection Problems | 6 | |

The Twelve Coin Problem | Blanche Descartes | 7 |

Supervisor's Complaint | 7 | |

Prime Numbers | C. B. Haselgrove | 8-10 |

Postal Subscriptions and Back Numbers | G. H. Toulmin | 10 |

The Problems Drive | 11 | |

Wari | R. H. Macmillan | 12 |

A Diophantine Problem | J. Leech | 13-14 |

Puzzle | 15 | |

Telepathy Experiment | C. B. Haselgrove | 16 |

Book Reviews | J. L. and J. S. R. C. | 17-18 |

A Paradox | 18 | |

The Revision of the Tripos | G. H. T. | 19 |

The Mathematical Association | 19 | |

Solution to Twelve Coin Problem | Blanche Descartes | 20 |

Solutions to Problems Drive | 20-21 | |

Solutions to Problems in Eureka No. 12 | 21 | |

Advertisement | W. Heffer & Sons Ltd. | 22 |

Adverisement | George Dennington | 22 |

Advertisement | Allen-Lyman Secretarial Bureau | inside back cover |

Advertisement | The Archimedeans | inside back cover |

Back matter | W. Heffer & Sons Ltd. | inside back cover |

Advertisement | Chartwell | back cover |

Advertisement | Jack Carter | back cover |

Editors: G. H. Toulmin

Article title | Authors | Pages |
---|---|---|

Front matter | G. H. Toulmin | front cover-1 |

Advertisement | Fitzbillies | i |

Advertisement | Arthur Shepherd | i |

Advertisement | Regent Restaurant | i |

Advertisement | Students' Bookshops Ltd. | ii |

Advertisement | John Smith & Son (Glasgow) Ltd. | ii |

Editorial | G. H. Toulmin | 2 |

The Archimedeans | D. J. H. | 2 |

Geometrical Discord | J. Leech | 3-6 |

Cross Number Puzzle | 6 | |

Triposland | R. Shaw | 7-9 |

The Grantaford Bumps | 9 | |

Large Primes | J. C. P. Miller | 10-11 |

Untitled poem | 11 | |

The Problems Drive | 12-13 | |

Note on a Theorem of Euler | Diogenes | 13 |

Highway Headache | 14 | |

Postal Subscriptions and Back Numbers | 14 | |

Solution to Grantaford Bumps | 14 | |

Building a Noughts and Crosses Machine | P. C. Parks | 15-17 |

An Electrical Problem | 17 | |

Book Reviews | M. B. and J. A. T. and D. W. B. and S. G. and S. E. T. | 18-21 |

The Mathematical Association | 21 | |

Rational Spherical Triangles | C. B. H. | 22 |

Solutions to Problems Drive | 22 | |

Solutions to Problems in Eureka No. 13 | 23 | |

Advertisement | Chartwell | 24 |

Advertisement | George Dennington | 24 |

Advertisement | Premier Travel Ltd. | 25 |

Advertisement | Taj Mahal Café Restaurant | 25 |

Advertisement | The Archimedeans | 25 |

Advertisement | W. Heffer & Sons Ltd. | 26 |

Advertisement | Jack Carter | 26 |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: J. C. Polkinghorne

Article title | Authors | Pages |
---|---|---|

Front matter | J. C. Polkinghorne | front cover-1 |

Advertisement | W. Heffer & Sons Ltd. | inside front cover |

Advertisement | The Archimedeans | inside front cover |

Advertisement | Regent Restaurant | inside front cover |

Editorial | J. C. Polkinghorne | 2 |

The Archimedeans | L. J. M. B. | 2-3 |

Professor A. S. Besicovitch | M. F. A. | 3-5 |

Supersonic Airflow | M. J. Lighthill | 5-9 |

Mathematician's Lament | A. B. | 9 |

Fancy That! | 9 | |

Cosmological Theories | F. Pirani | 10-13 |

Cinderquadrics (or the Babes in the Complex) | H. M. | 14-15 |

Relative Values | Julius | 15 |

Definition | 15 | |

Untitled poem | P. A. S. | 15 |

Three Dimensional Cross Number Puzzle | Nero | 16 |

Solution to Cross Number Puzzle in Eureka No. 14 | 16 | |

The Mathematical Association | 16 | |

Differentiation | 17-18 | |

Book Reviews | C. B. H. and H. J. and S. W. and F. R. K. | 19-21 |

Postal Subscriptions and Back Numbers | J. C. Polkinghorne | 22 |

Advertisement | Premier Travel Ltd. | 22 |

Advertisement | Florence Restaurant | 22 |

Advertisement | Cambridge University Press | 23 |

Advertisement | Fitzbillies | 24 |

Advertisement | Jack Carter | 24 |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: J. C. Polkinghorne

Article title | Authors | Pages |
---|---|---|

Front matter | J. C. Polkinghorne | front cover-1 |

Advertisement | Bowes & Bowes | inside front cover |

Editorial | J. C. Polkinghorne | 2 |

The Archimedeans | M. F. A. | 2-3 |

A Contribution to the Mathematical Theory of Big Game Hunting | H. Pétard | 3-6 |

Morley's Trisector Theorem | R. P. | 6-7 |

Postal Subscriptions and Back Numbers | J. C. Polkinghorne | 7 |

Svoyi Kosiri is an Easy Game | R. S. and J. M. B. | 8-12 |

In Praise of Mathematics | T. G. P. | 12 |

Untitled poem | R. I. M. | 12 |

Quantum Field Theory | Bodmas | 13-15 |

Problems Drive | 15-17 | |

Why are Series Musical? | Blanche Descartes | 18-20 |

Integration | J. C. P. | 20-21 |

Solutions to Problems Drive | 21 | |

Book Reviews | P. S-D. and M. A. H. and A. J. W. and C. B. H. and D. W. S. and J. C. P. and J. P. H. M. | 22-26 |

The Mathematical Association | 26 | |

Advertisement | The Archimedeans | 26 |

Advertisement | Jack Carter | 27 |

Advertisement | Dean & Dawson Ltd. | 27 |

Advertisement | Fitzbillies | 28 |

Advertisement | W. Heffer & Sons Ltd. | 28 |

Advertisement | Cambridge University Press | inside back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: O. M. Phillips

Article title | Authors | Pages |
---|---|---|

Front matter | O. M. Phillips | front cover-2 |

Advertisement | Bowes & Bowes | inside front cover |

The Archimedeans | P. S. | 3 |

Untitled quotation | John Calvin | 3 |

Are Mathematicians Musical? | 4 | |

Hymne to Hymen | Blanche Descartes | 5-7 |

Problems Drive, 1953-54 | 8-9 | |

Saint Petersburg | 9 | |

Aerodynamic Noise | P. Martin | 10-12 |

A Song ... Against Mathematicians | D. Handscomb | 12 |

Cross Number Puzzle | Pythagoras | 13 |

Word Problem | R. Penrose | 13 |

Construction Problem | R. Penrose | 13 |

Logarithms to Base 1.024! | N. M. Gibbins | 14-16 |

Solutions to Problems Drive | 16-17 | |

Solution of Construction Problem | R. Penrose | 17 |

Solution to Word Problem | R. Penrose | 17 |

Book Reviews | J. C. P. and M. J. A. and M. A. H. and O. M. P. and J. L. M. | 18-22 |

Advertisement | Cambridge University Press | 20 |

Mathematical Association | 22 | |

Advertisement | Fitzbillies | 23 |

Advertisement | Dean & Dawson Ltd. | 23 |

Advertisement | W. Heffer & Sons Ltd. | 24 |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: O. M. Phillips

Article title | Authors | Pages |
---|---|---|

Front matter | O. M. Phillips | front cover-2 |

Nim-Arithmetic | C. T. C. Wall | 3-7 |

Diophantus Smith | 7 | |

A Theory of Biased Dice | J. D. Roberts | 8-11 |

Plasticity | P. Drazin | 12-13 |

Mathematical Association | 13 | |

Untitled poem | Clerihew | 13 |

Prize Contributions | O. M. Phillips | 14 |

By Induction or Ever Been Had? | 14 | |

Problems Drive | 15-17 | |

3D | J. L. Martin | 17-20 |

Approximate Constructions for 7, 9, 11, 13-sided Polygons | J. C. Oldroyd | 20 |

Solutions to Problems Drive | 21 | |

Diophantus Smith - Solution | 22 | |

Postal Subscriptions and Back Numbers | 22 | |

Ever Been Had? - Solution | 23 | |

Advertisers' Index | O. M. Phillips | 23 |

Advertisement | Cambridge University Press | 24 |

Book Reviews | G. T. and R. I. P. and W. P. B. and M. W. P. and O. M. P. and J. L. M. and B. R. | 25-28 |

Advertisement | W. Heffer & Sons Ltd. | 27 |

Advertisement | Bowes & Bowes | 29 |

Advertisement | Deighton Bell | 30 |

Advertisement | Gardenia Restaurant | 30 |

Advertisement | University Typewriting Office Limited | 30 |

Advertisement | Fitzbillies | 31 |

Advertisement | Dean & Dawson Ltd. | 31 |

Advertisement | Regent Restaurant | 32 |

Advertisement | Florence Restaurant | 32 |

Advertisement | The Archimedeans | 32 |

Back matter | W. Heffer & Sons Ltd. | 32-back cover |

Editors: D. Monk

Article title | Authors | Pages |
---|---|---|

Front matter | D. Monk | front cover-2 |

Editorial | D. Monk | 3 |

The Archimedeans | John L. Martin | 3-4 |

Contributions | D. Monk | 4 |

Postal Subscriptions and Back Numbers | D. Monk | 4 |

The Theory of Games | Michael Hoskin | 5-10 |

A Theorem on Prime Powers | C. T. C. Wall | 10-11 |

An Elevation Puzzle | Antilog | 11 |

The Problems Drive, 1956 | 12-14 | |

Mathematical Association | 14 | |

Euclid's Elements | J. Leech | 15-17 |

Letter to the Editor | J. R. Probert-Jones | 17-18 |

A Problem on Grills | G. H. | 18 |

Solutions to the Problems Drive | 19 | |

Solution to the Elevation Puzzle | 19 | |

Advertisement | Cambridge University Press | 20 |

Book Reviews | C. N. L. and J. L. M. | 21 |

Advertisement | Bowes & Bowes | 22 |

Advertisement | Dean & Dawson Ltd. | 23 |

Advertisement | Gardenia Restaurant | 23 |

Advertisement | W. Heffer & Sons Ltd. | 24 |

Advertisement | Florence Restaurant | 24 |

Advertisement | The Archimedeans | 24 |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: C. T. C. Wall

Article title | Authors | Pages |
---|---|---|

Front matter | C. T. C. Wall | front cover-2 |

Editorial | C. T. C. Wall | 3-4 |

Archimedeans | J. M. Charap and C. T. C. Wall | 5-6 |

Mathematical Music | Walter F. Bodmer | 7-9 |

International Congress of Mathematicians, Edinburgh, 1958 | 9 | |

A New Angle Trisector | G. B. Trustrum | 10 |

A Question of Limits | H. T. Croft | 11-13 |

A Trifle | Le Plessis | 13 |

Problems Drive, 1957 | 14-17 | |

Advertisement | University Typewriting Office Limited | 17 |

Advertisement | Deighton Bell | 17 |

A Valentine | J. G. B. | 18 |

A Fundamental Proposition | A Very Twisted Cubic | 18-19 |

A Pathological Function | J. D. Roberts | 19 |

The Problem | C. T. C. Wall | 20-25 |

Mathematical Association | 25 | |

After Bathing | B. D. Ijonpo | 25 |

Contributions | C. T. C. Wall | 26 |

Postal Subscriptions and Back Numbers | C. T. C. Wall | 26 |

Professor Besicovitch's Minimal Problem: A Challenge | Anthony Edwards | 26-27 |

A Problem on Grills | G. H. | 27-29 |

To C**I* | I. | 29 |

Solutions to the Problems Drive | 29-30 | |

Book Reviews | D. V. Lindley and H. McA. and H. P. F. S*D. | 31-35 |

Advertisement | Cambridge University Press | 32 |

Advertisement | Oliver and Boyd | 34 |

Books Received | 35 | |

Advertisement | W. Heffer & Sons Ltd. | 36 |

Advertisement | Florence Restaurant | 36 |

Advertisement | The Archimedeans | 36 |

Advertisement | Gardenia Restaurant | 37 |

Advertisement | Bowes & Bowes | 37 |

Advertisement | K. P. Camera Shop | 38 |

Advertisement | Dean & Dawson Ltd. | 38 |

Back matter | W. Heffer & Sons Ltd. | 38-back cover |

Editors: C. T. C. Wall; editorial committee P. V. Landshoff and D. M. Blackburn and G. J. S. Ross

Article title | Authors | Pages |
---|---|---|

Front matter | C. T. C. Wall | front cover-2 |

Editorial | C. T. C. Wall | 3-4 |

The Archimedeans | P. V. Landshoff | 4-5 |

The Explorer's Problem | I. C. Pyle | 5-7 |

An Elevation Puzzle | 7 | |

Our Founder | H. T. Croft | 7-9 |

Contributions | C. T. C. Wall | 9 |

A Function with an Infinity of Saddle Points | Martin Fieldhouse | 10-11 |

Mathematical Association | 12 | |

The Cross-Stitch Curve | M. W. Birch | 12-13 |

Lebesgue's Minimal Problem | H. S. M. Coxeter | 13 |

Problems Drive, 1958 | 14-16 | |

Postal Subscriptions and Back Numbers | C. T. C. Wall | 16 |

Brains Trust | D. M. B. | 17-18 |

Definitions | 18 | |

Trio | S. Simons | 19-21 |

Crossword Puzzle | G. J. S. Ross | 22-23 |

A Fable | F. M. Hall | 23-25 |

Traffic Jams | Anthony Bayes | 25-26 |

Construction of Centre of Curvature on a Conic | C. C. L. Sells | 26-27 |

A Shorter Short History of Mathematics | Flower | 28-29 |

Solution to Elevation Puzzle | 29 | |

Solutions to Problems Drive | 30 | |

Book Reviews | R. Schwarzenberger and C. T. C. Wall and C. Hunter and D. A. Nield and H. T. Croft and M. Fieldhouse and F. P. Bretherton and A. J. Hearnshaw | 31-36 |

Advertisement | Cambridge University Press | 33 |

Books Received | 36 | |

Advertisement | K. P. Camera Shop | back cover |

Advertisement | Florence Restaurant | back cover |

Advertisement | The Archimedeans | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: Martin Fieldhouse

Article title | Authors | Pages |
---|---|---|

Front matter | Martin Fieldhouse | front cover-2 |

Editorial | Martin Fieldhouse | 3 |

The Archimedeans | G. J. S. Ross | 3-4 |

Mathematical Association | 4 | |

Postal Subscriptions and Back Numbers | Martin Fieldhouse | 4 |

Constructing Open Knight's Tours Blindfold! | R. C. Read | 5-9 |

The Computer Revolution | Martin Fieldhouse | 9-11 |

A Question of Limits: II | H. T. Croft | 11-13 |

Numerical Square | A. H. Barrass | 13 |

Tow Matrix Problems | Max Rumney | 13 |

Whewell's Ale Caucus Race | 14-15 | |

Problems Drive, 1959 | M. R. Boothroyd and J. H. Conway | 15-17 |

Crossword | G. Berry | 18-19 |

Chessmas | R. Schwarzenberger | 19-20 |

Vipers, Logs and All That | G. J. S. Ross | 20-21 |

Solutions to Problems | G. J. S. Ross and A. H. Barrass and M. R. Boothroyd and J. H. Conway | 22-23 |

Explorer's Problem | Martin Fieldhouse | 23 |

Advertisement | Scurfield | 23 |

Advertisement | Cambridge University Press | 24 |

Book Reviews | L. J. Slater and B. E. Johnson and K. R. McLean and J. E. Roberts and M. F. | 25-28 |

Advertisement | District Bank Limited | inside back cover |

Advertisement | K. P. Camera Shop | back cover |

Advertisement | W. Heffer & Sons Ltd. | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: Martin Fieldhouse

Article title | Authors | Pages |
---|---|---|

Front matter | Martin Fieldhouse | front cover-2 |

Editorial | Martin Fieldhouse | 3 |

The Archimedeans | P. H. Frost | 3-4 |

Mathematical Association | 4 | |

Postal Subscriptions and Back Numbers | 4 | |

Guillver in Applyland | Karl Menger | 5-8 |

Squaring the Bishop | 8 | |

Group Theory in the Sixth Form | F. M. Hall | 9-10 |

Printing Mathematics | Peter Basnett | 11-13 |

Pentominoes | J. C. P. Miller | 13-16 |

A Computer Program for Pentominoes | C. B. Haselgrove and Jenifer Haselgrove | 16-18 |

Connected Masses | D. C. Cross | 18-20 |

The Long Count | N. Seudopym | 20-22 |

Some Little Naggers | H. T. Croft and S. Simons | 22 |

Problems Drive, 1960 | G. J. S. Ross and M. Westwood | 23-25 |

Advertisement | Deighton Bell & Co. Ltd. | 25 |

Solutions to Problems | G. Berry and G. J. S. Ross and M. Westwood | 26 |

A Correction | D. E. Daykin | 26 |

Advertisement | Bowes & Bowes | 27 |

Advertisement | Friar House | 27 |

Advertisement | Miller's | 27 |

Advertisement | Cambridge University Press | 28 |

Book Reviews | J. Ireland and M. Fieldhouse and P. Whittle and D. H. Fowler and H. K. Moffatt and A. R. Patterson and W. Kahan and D. T. Jack and F. M. Hall and R. Schwarenberger | 29-36 |

Advertisement | Oliver and Boyd | 32 |

Advertisement | G. Bell & Sons Ltd. | 35 |

Answers to the problems on page 22 | H. T. Croft and S. Simons | 36 |

Advertisement | District Bank Limited | inside back cover |

Advertisement | K. P. Camera Shop | back cover |

Advertisement | W. Heffer & Sons Ltd. | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: A. M. J. Davis

Article title | Authors | Pages |
---|---|---|

Front matter | A. M. J. Davis | front cover-2 |

Editorial | A. M. J. Davis | 3 |

The Archimedeans | M. W. Thomas | 3-4 |

A Schoolmaster's Mathematics | F. M. Hall | 4-5 |

Follow That Car! | E. O. Tuck | 6-7 |

Relations | J. F. Harper | 8-9 |

Love Under the Integral Sign | A. H. Faulkner | 9-10 |

EDSAC to the Rescue | B. D. Josephson | 10-12 |

The Gulf Stream | Kathleen Johnson | 12-13 |

A Method for Calculating Partitions | M. Rowan-Robinson | 14-15 |

Letter to the Editor | Mary Hartley | 15-16 |

Another Basic Theorem | A Degenerate Singularity | 16-18 |

wordgame | Robin | 19 |

Advertisement | Friar House | 19 |

Problems Drive 1961 | B. D. Josephson and J. M. Boardman | 20-22 |

Advertisement | Deighton Bell & Co. Ltd. | 21 |

A Dimensional Howler | 22 | |

The Bishop Squared | A. M. J. Davis | 23 |

Mathematical Association | 23 | |

Problems Drive Solutions | B. D. Josephson and J. M. Boardman | 24 |

Advertisement | Oxford University Press | 25 |

Advertisement | Miller's | 25 |

Advertisement | Bowes & Bowes | 25 |

Advertisement | Cambridge University Press | 26 |

Book Reviews | P. Pleasants and M. Moss and F. P. Bretherton and K. Johnson and J. C. Alexander and P. C. Chatwin and J. Faulkner and R. E. Harte and J. J. McCutcheon and D. B. Pearson and A. M. J. Davis and T. G. Murphy and T. T. West and C. W. Cryer | 27-32 |

Postal Subscriptions and Back Numbers | A. M. J. Davis | 32 |

Solution to Chessboard Dissection Puzzle | B. D. Josephson | 32 |

Advertisement | District Bank Limited | inside back cover |

Advertisement | K. P. Camera Shop | back cover |

Advertisement | W. Heffer & Sons Ltd. | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: R. W. Bray

Article title | Authors | Pages |
---|---|---|

Front matter | R. W. Bray | front cover-2 |

Editorial | R. W. Bray | 3 |

The Archimedeans | I. B. Taylor | 3-4 |

Squares and Circles | 4 | |

The Calculation of Partition Numbers | J. A. Tyrrell | 5-6 |

The M-F Relationship as a Positive Feedback System | C. D. Rodgers | 7-9 |

Growth | Ham | 10-12 |

Postal Subscription and Back Numbers | R. W. Bray | 12 |

Some Notes on Solitaire | J. D. Beasley | 13-18 |

in Four 4's | J. H. Conway and M. J. T. Guy | 18-19 |

Problems Drive 1962 | R. L. Hutchings and J. D. Blake | 20-21 |

Elastic Waves in Geophysics | C. C. L. Sells | 21-23 |

Letter to the Editor | H. J. Croft and P. V. Landshoff | 23-24 |

Advertisement | G. Bell & Sons Ltd. | 25 |

Advertisement | W. Heffer & Sons Ltd. | 25 |

Advertisement | Cambridge University Press | 26 |

Book Reviews | A. R. Pargeter and W. B. R. Lickorish and J. F. Harper and P. Dunne and D. H. Peregrine and G. B. Trustrum and C. D. Rodgers and R. W. Bray and L. Todd and K. Johnson and M. Cockrill and J. D. P. Meldrum and R. J. Jarvis and A. M. J. Davis | 27-34 |

Advertisement | Hafner Publishing Company Ltd. | 31 |

Solutions to Problems | R. L. Hutchings and J. D. Blake | 34-35 |

Mathematical Association | 35 | |

Advertisement | Deighton Bell & Co. Ltd. | 36 |

Advertisement | Bowes & Bowes | 36 |

Advertisement | The Archimedeans | 36 |

Advertisement | District Bank Limited | inside back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: P. M. Lee

Article title | Authors | Pages |
---|---|---|

Front matter | P. M. Lee | front cover-2 |

Editorial | P. M. Lee | 3 |

The Archimedeans | P. A. Rado | 3-4 |

A New Integral | 4 | |

Mathematical Economics | F. Marzano | 5-8 |

An Olde Fairy Theorem | Anon | 8-9 |

Hmm... | 9 | |

Problems Drive 1963 | L. S. Harris and J. M. Northover | 10-12 |

An Unsolved Problem | Max Rumney | 12 |

Postal Subscriptions and Back Numbers | I. B. Taylor | 12 |

Weighing the Evidence | A. D. McLaren | 13-16 |

The Models Underlying Actuarial Techniques | S. Benjamin | 16-18 |

Lattices | A. J. T. Davie | 19-21 |

Lucas Functions | J. C. Amson | 21-25 |

Mathematical Association | 25 | |

Mock Advertisement | Vector Value Ltd. | 26 |

Book Reviews | P. M. Lee and R. W. Bray and C. D. Rodgers and R. E. Harte and R. M. Loynes and M. St. C. Oakes and L. Todd and A. J. T. Davie and T. T. West and R. E. H. and A. M. J. Davis | 27-30 |

Advertisement | W. Heffer & Sons Ltd. | 31 |

Advertisement | Bowes & Bowes Science Bookshop | 31 |

Problems Drive Solutions | L. S. Harris and J. M. Northover | 32 |

Advertisement | Cambridge University Press | inside back cover |

Advertisement | District Bank | back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: P. M. Lee

Editors: I. N. Stewart

Article title | Authors | Pages |
---|---|---|

Front matter | I. N. Stewart | front cover-2 |

Advertisement | District Bank | inside front cover |

Editorial | I. N. Stewart | 3 |

The Archimedeans | R. H. J. Harris | 3-4 |

Postal Subscriptions and Back Numbers | J. C. Barlow | 4 |

Transcendental Numbers | C. J. Myerscough | 5-8 |

Mathematical Association | 8 | |

Problems Drive | I. N. Stewart | 9-11 |

Three | Peregrine | 11 |

Parallel Curves | D. R. Woodall | 12-18 |

An Uncommonly Pathological Recurrence Relation | Roger Helmer | 18-23 |

Partitions and Divisor-sums | J. L. Dawson | 24-25 |

Hence | Dustcartes | 25-26 |

Book Reviews | J. L. Dawson and P. G. Dixon and P. M. Lee and J. H. Webb and C. L. Thompson and I. N. Stewart and R. Jones and R. L. Jacobs and A. E. Barnshaw | 27-32 |

Advertisement | Bowes' Science Bookshop | 32 |

Solutions to Problems | I. N. Stewart and Peregrine | inside back cover |

Back matter | W. Heffer & Sons Ltd. | back cover |

Editors: Colin Myerscough

Article title | Authors | Pages |
---|---|---|

Front matter | Colin Myerscough | front cover-3 |

Advertisement | District Bank | inside front cover |

Editorial | Colin Myerscough | 3-4 |

Double Doppler | W. H. McCrea | 5-8 |

Hochsplödjzgass!! | H. T. Croft | 9 |

TITAN | D. W. Barron | 10-11 |

The Fibonacci sequence | J. W. Porter | 11-13 |

Groups of exponent 2 | I. N. Stewart | 13-14 |

A space-filling article | 14 | |

Art by computer | J. L. Dawson | 15-18 |

Then as Now | Martin Fieldhouse | 15 |

Problems Drive 1966 | D. Mollison | 19-20 |

SPUDSAC I | Ruuny Dustcartes | 21 |

Problem Competition | Colin Myerscough | 22-25 |

Topological equivalents of the axiom of choice | P. G. Dixon | 26-30, 40 |

Advertisement | National Provincial Bank | 31 |

The Archimedeans | R. S. A. Tuff | 32 |

Mathematical Association | 32 | |

Problems Drive Solutions | D. Mollison | 33 |

Book Reviews | E. Jenkins and C. J. Myerscough and M. A. Lewis and I. N. Stewart and J. S. Dennis and T. W. Cusick and M. K. Ayres and P. G. Dixon and J. H. Webb and S. M. Negrine and C. L. Thompson and D. G. Kendall and P. J. Bussey | 33-40 |

Advertisement | Cambridge University Press | inside back cover |

Advertisement | Bowes' Science Bookshop | inside back cover |

Advertisement | Central Electricity Generating Board | back cover |

Back matter | Unwin Brothers Limited | back cover |

Editors: C. J. Myerscough

Article title | Authors | Pages |
---|---|---|

Front matter | C. J. Myerscough | front cover-1 |

Advertisement | District Bank | inside front cover |

Advertisement | IBM United Kingdom Limited | 2 |

Editorial | C. J. Myerscough | 3-4 |

The First Book of Moses, commonly called Genesis, in a new unauthorized rerevised non-standard version | King James I.V | 4 |

A Toroidal Twister | I. N. Stewart | 5 |

Beltrami or Force-Free Fields | V. C. A. Ferraro | 6-7 |

Get Knotted! | A. G. Smith | 8-10 |

Mathematics and the Physical Sciences | P. J. Bowler | 10-12 |

Mock Advertisement | Vector Value Ltd. | 12 |

Advertisement | National Provincial Bank | 13 |

Networks and Squared Squares | G. H. Morley | 14-16 |

Problems Drive 1967 | A. G. Smith and P. N. Toye | 16-18 |

Rotating a Cube by Computer | B. M. Thompson and A. G. McKernan | 18-19 |

Advertisement | Bowes' Science Bookshop | 20 |

Knotung | A. G. Smith | 20 |

Der Ring der Algebrungen | A. G. Smith | 21-22 |

Incidence Incidents | H. T. Croft | 22-26 |

Leave it to Aunt Minnie | I. N. Stewart | 27-31 |

The Paradox of the Surprise Examination | D. R. Woodall | 31-32 |

Problems Drive Answers | A. G. Smith and P. N. Toye | 32-33 |

The Archimedeans | A. C. Norman | 34 |

Mathematical Association | 34 | |

Book Reviews | C. J. Myerscough and R. J. Triance and P. G. Dixon and D. Stanford and A. Bainbridge and C. L. Thompson and M. K. Ayres and J. Filochowski and D. H. D. Warren and P. D. Cooper and A. Kaletzky and P. J. Bussey and G. D. Paterson and D. G. Cooper and J. R. Mason | 35-40, 26 |

Advertisement | Imperial Chemistry Industries Ltd. | inside back cover |

Advertisement | Central Electricity Generating Board | back cover |

Back matter | The Gresham Press | back cover |

Editors: J. J. Barrett

Article title | Authors | Pages |
---|---|---|

Front matter | J. J. Barrett | front cover-1 |

Advertisement | District Bank | inside front cover |

Advertisement | Bowes' Science Bookshop | 2 |

Editorial | J. J. Barrett | 3-4 |

Logique mathématique et logistique militaire | Paul Laguerre and Naomi Laguerre | 4 |

A Question of Cubes | C. V. Durell | 4 |

Mathematics and Evolution | Cedric A. B. Smith | 5-7 |

Two Crossnumber Puzzles | 8-9 | |

Edinburgh University Physical Society | 9 | |

Fingers Out | 9 | |

Snowflake Tetrahedra | P. T. Johnstone | 10-13 |

Regular Polytopes | D. G. Hayes | 14-17 |

The Archimedeans | P. E. Smith | 17-18 |

Some Problems | H. T. Croft | 18-19 |

The Brains Trust on Mathematics Teaching, March 1968 | P. T. Johnstone | 19-21 |

Problems Drive 1968 | A. K. Manning and B. J. Scorer | 22-23 |

Impossible Objects | D. R. Woodall | 23-27 |

The Cambridge SRC Maths Teaching Committee | C. J. Myerscough | 27 |

Advertisement | National Provincial Bank | 28 |

La coloration des cartes | Blanche Descartes and Rose Descartes | 29-31 |

Solutions to Problems | I. N. Stewart and H. T. Croft and C. V. Durell and A. K. Manning and B. J. Scorer | 31-34 |

Mathematical Association | 34 | |

Book Reviews | C. Bamford and M. Pemberton and R. T. Eddleston and C. D. Evans and G. R. Farren and J. Filochowski and J. S. Grant and P. O. Gershon and D. R. Grey and S. N. H. Mackie and S. G. Newton and C. R. Prior and I. H. Rose and G. I. T. and A. G. Tristram and B. M. Thompson and P. M. Lee and B. P. McGuirk and M. A. Lewis and C. J. Myerscough and D. C. Joyce and P. G. Dixon and J. J. Barrett | 34-44 |

Advertisement | Dover / Constable | 39 |

Advertisement | Cambridge University Press | inside back cover |

Advertisement | Central Electricity Generating Board | back cover |

Back matter | The Gresham Press | back cover |

Editors: C. R. Prior

M.C. Escher's "Moebius Strip" © 2003 Cordon Art - The Netherlands. All
rights reserved. Used by permission.

Article title | Authors | Pages |
---|---|---|

Front matter | C. R. Prior | front cover-1 |

Editorial | C. R. Prior | 1 |

An Alphametric | J. A. H. Hunter | 1 |

Hopes and Fears | P. A. M. Dirac | 2-4 |

A Genetical Application of Homogeneous Coordinates | A. W. F. Edwards | 5-9 |

Two Problems on Cubes | H. T. Croft | 9-12 |

Fermat's Last Theorem and the Golden Mean | R. W. M. Wedderburn | 12-14 |

The Multiplicator | W. F. A. Chambers | 14-16 |

A Shuffling Problem | P. T. Johnstone | 17-18 |

Uniform Curves and Surfaces | D. G. Hayes | 19-23 |

A Further Examination of the 'Surprise Examination Paradox' | C. Hudson and A. Solomon and R. Walker | 23-24 |

John Adams (A Gothick Necromance) | A. G. Smith and P. E. Smith | 24-25 |

The Archimedeans | S. J. Turner | 25-26 |

Movement without Speed | K. J. Evans | 26-28 |

Mathematical Association | 29 | |

Polyhedra | A. G. Smith | 29-32 |

On Writing Text-Books | W. L. Ferrar | 33-34 |

Problems Drive 1969 | R. G. Newcombe and K. Loveys | 34-36 |

Book Reviews | A. F. Champernowne and G. Leversha and J. J. Barrett and C. J. Myerscough and P. M. Lee and P. E. Jupp and B. R. Goalby | 36-39 |

Solutions to Problems | J. A. H. Hunter and R. G. Newcombe and K. Loveys | 40 |

Advertisement | Oxford University Press | inside back cover |

Advertisement | Bowes' Science Bookshop | inside back cover |

Advertisement | Central Electricity Generating Board | back cover |

Back matter | Unwin Brothers Limited | back cover |

Editors: A. N. Kemmer

Article title | Authors | Pages |
---|---|---|

Front matter | A. N. Kemmer | front cover-1 |

Editorial | A. N. Kemmer | 1 |

Inertial Navigation | M. J. Lighthill | 2-6 |

A Triangular Problem | 6 | |

The Marriage Problem | D. R. Grey | 7-8 |

Two Problems | 8 | |

A Moving Story | K. Andrews and N. J. Davis | 9 |

Double Six | W. L. Edge | 10-12 |

The Quadratic Equation | E. A. Maxwell | 13-14 |

Problem for Poultry Farmers | 14 | |

It's a Plot! | 15 | |

The Archimedeans | Oliver Reid | 15-16 |

Ships and Eigenvalues | D. Rees | 16-18 |

Ohm Sweet Ohm | 19 | |

The Optimum Size for an Establishment | H. W. O. Petard | 19-21 |

What Price Virtue? | 21 | |

The Football League Eigenvector | J. R. Gillett | 22-23 |

The Numerical Range of an Operator | F. F. Bonsall | 24-27 |

The Mathematical Association | 28 | |

Equivalence Relations and Scholarship Problems | 28-30 | |

Solutions to Problems | 30-31 | |

Book Reviews | K. McCoy and P. J. Bussey and J. J. Barrett and B. P. McGuirk and D. R. Grey and P. O. Gershon and M. A. Lewis and C. J. Myerscough and J. L. Dawson and W. J. Ellison and I. N. Stewart and A. Kaletzky and P. G. Dixon and D. C. Joyce and C. D. Evans | 31-36 |

What is it? | inside back cover | |

Back matter | A. N. Kemmer | back cover |

Editors: Ian McCredie

Article title | Authors | Pages |
---|---|---|

Front matter | Ian McCredie | front cover-1 |

Editorial | Ian McCredie | 1-2 |

The History of an Invention | G. I. Taylor | 3-6 |

Analyse Mathematique des Formes des Monnaies | Paul Laguerre and Naomi Laguerre | 6 |

Quickie | 6 | |

Examination Technique | C. J. Myerscough | 7-10 |

On and | D. P. Dalzell | 10-13 |

Beat the Clock! | 13 | |

Snaedemihcra? | 14 | |

Magic Money | 14 | |

A Cambridge Look at Life | M. Neave and C. Hones | 15-19 |

Some Notes on the Mathematical Work of Albrecht Durer (1471-1528) | R. J. Steemson | 20 |

Queens | 20 | |

The Knitting of Surfaces | M. O. Reid | 21-26 |

The Archimedeans | Simon Anscombe | 26 |

A Criticism of the Football League Eigenvector | D. R. Woodall | 27-28 |

The Optimal Size of an Organization | I. J. Good | 28-30 |

Division of a Square into Rectangles | Blanche Descartes | 31-35 |

The Mathematical Association | 36 | |

Aggro! | 36 | |

Untitled problem | 36 | |

On Badly Behaved Fish Fingers | D. R. Woodall | 37-39 |

Magic Square | 40 | |

Solutions to Problems | 40-41 | |

Book Reviews | J. P. Conlon and A. Iny and R. M. R. Brewis and S. B. Dunnett and G. S. Lucas and Paul Henry and C. W. Monckton and Grant Keady and R. Bowler and E. A. Workman and C. J. Slinn | 41-48 |

Tristar | inside back cover | |

Back matter | Cambridge Instantprint Ltd. | back cover |

Editors: Joseph Conlon

Article title | Authors | Pages |
---|---|---|

Front matter | Joseph Conlon | front cover-1 |

Editorial | Joseph Conlon | 1-2 |

An Alphametric | 2 | |

Prime Numbers and Brownian Motion - The 1972 Rouse Ball Lecture | P. Billingsley | 3-17 |

Two Problems | 17 | |

Relativistic Doppler Effect for Photons | D. R. Bates | 18-20 |

The Archimedeans | Michael Barnes | 20-21 |

The Equation (x^{2} - 1)(y^{2} - 1) = (z^{2} - 1)^{2} | K. Szymiczek | 21-25 |

Geometrical | 25-26 | |

Euleriana | Bertha Jeffreys | 26-30 |

When I Went a Rowing | 30 | |

Geometry by Computer | M. S. Longuet-Higgins | 30-33 |

Once Upon a Time | 33 | |

A New Proof that the Invariant Polygroups are Isomorphic to the Quasitropic Set of Antisymmetric Hedroids, with an Application to the Theory of Dynamics in Spaces of Uncountable Dimension | B. G. Smith and R. J. Collins | 34-35 |

Several Complex Variables | G. R. Allan | 36-37 |

It's a Knockout! | 37-38 | |

Where Did I Leave That Arsenic? or, Sequential Search Procedures | P. Whittle | 38-41 |

Solving the Cubic Equation | Marius Iosifescu | 42-44 |

The Mathematical Association | 44 | |

The Burnside Problem | Ian Stewart | 44-48 |

Book Reviews | I. F. McCredie and R. C. Wheeler and P. G. Henry and T. P. Hynes and Richard Clayton and M. Pemberton and P. G. Williams and B. G. Smith and C. J. Slinn and Janet Haig and I. S. Wilson | 48-53 |

Solutions to Problems | 54 | |

Back matter | William Clowes & Sons Limited | back cover |

Editors: David J. Miller; sub-editor Colin Vout

Article title | Authors | Pages |
---|---|---|

Front matter | David J. Miller | front cover-1 |

Errata to Eureka 35 | David J. Miller | inside front cover |

Footnote to "Well-Founded Games" | David Fremlin | inside front cover |

Recent results of Pfister about Sums of Squares | J. W. S. Cassels | 2-7 |

Where are the Zeros of Zeta of S? | Tom Apostol | 7-8 |

Optimal Card-Shuffling | M. J. Mellish | 9-11 |

Autobiographical | W. L. Ferrar | 11-14 |

Annual Report of the Archimedeans | K. A. Moore | 14 |

Annual Report of the Snaedemihcra | Andrew White | 14-17 |

Instabilities due to Dissipation | E. J. Hinch | 17-18 |

Randomly Collecting Sets of Objects, or ... it's another Spear-Thrower! | Colin Vout | 18-20 |

Problems Drive | D. J. Aldous and N. H. G. Mitchell | 20-22 |

Some Critical Points | Manfred Gordon | 22-26 |

Notational Note | D. J. Miller | 26-27 |

Ode to the Negative Gaussian Curvature of Potato Crisps | Colin Vout | 27-28 |

Tomorrow is the day after Doomsday | J. H. Conway | 28-31 |

Triangles | Bernard Silverman and Paul Marx | 31-32 |

Well-Founded Games | David Fremlin | 33-37 |

y^{2} + D = x^{5} | Bernard M. E. Wren | 37-38 |

Another Proof of the Pythagorean Proposition | Arjun Tan | 38-40 |

A New Geometry | D. M. Behrend | 40-44 |

On the Distribution of Decimal Digits in n! | S. P. Castell | 44-47 |

Orthogonull Matrices | Tim Poston | 47-48 |

Editor's Acknowledgments | David J. Miller | 48 |

Answers to the Problems Drive | D. J. Aldous and N. H. G. Mitchell | inside back cover |

Advertisement | Oliver & Boyd | back cover |

Back matter | Unwin Brothers Limited | back cover |

Editors: R. G. E. Pinch; sub-editor T. J. Lyons

Article title | Authors | Pages |
---|---|---|

Front matter | R. G. E. Pinch | front cover-1 |

Editorial | R. G. E. Pinch | 2 |

Archimedeans | Angela Hey | 2 |

Mellin Transforms | K. J. Evans | 3-6 |

Letters | G. H. Toulmin and N. H. G. Mitchell | 7 |

Problems Drive | Colin Vout and Martin Brown | 8-11 |

Exchanges | R. G. E. Pinch | 11 |

Fluids & Geometry | M. K. Jeeves | 12-14 |

Noughts & Crosses | S. J. Taylor | 14-18 |

And Now ... | Nigel Black | 19-20 |

Snaedemihcra? | Charles Bogle | 20 |

Functional Equations | K. J. Falconer | 21-23 |

Recursion | 23 | |

Acknowledgements | R. G. E. Pinch | 23 |

The Cups Problem | M. Brown | 24-26 |

3 Problems | Denis Thicket | 26 |

How to toss a coin | A. Smith | 27-28 |

Snaedemihcra! | Charles Bogle | 28 |

Book Reviews | CB and MKJ and RGEP | 29-30 |

Talmudic Logic | W. Felder | 31-32 |

Answers | Colin Vout and Martin Brown | inside back cover-32 |

Advertisement | Oxford University Press | back cover |

Editors: Richard Pinch

Article title | Authors | Pages |
---|---|---|

Front matter | Richard Pinch | front cover-1 |

Editorial | Richard Pinch | 2 |

Consecutive Integers | P. Erdos | 3-8 |

The Archimedeans | H. G. Stark | 9-10 |

Alphametic Problems | J. R. Partington | 10 |

Amazing! | E. J. Anderson | 11-15 |

Problems | A. Hadden | 16-17 |

Mechanical Geometry | Clint O'Vou | 18-20 |

Exchange | Colin Vout | 21-24 |

Solutions | A. Hadden | inside back cover |

Back matter | Bluebell Printing Co. Ltd. | back cover |

Editors: A. J. Wassermann and R. C. Mason

Article title | Authors | Pages |
---|---|---|

Front matter | A. J. Wassermann and R. C. Mason | front cover-1 |

Editorial | A. J. Wassermann and R. C. Mason | 2 |

Subscriptions | A. J. Wassermann and R. C. Mason | 2 |

Infinite-Dimensional Vector Spaces | J. R. Ringrose | 3-12 |

Archimedeans | Roger Dix | 13-14 |

The Disappointing Mean Circle | J. J. Hitchcock | 14-15 |

Pentaplexity | R. Penrose | 16-22 |

Little Arrows | P. T. Johnstone | 23-28 |

How to Study Maths | A. Mammoth | 28 |

Homological Knot Theory in the Context of an Expanding Economy | E. Grimshaw | 29-31 |

Mathematical Cambridge | 32-33 | |

Cambridge Mathematics since 1910 | Harold Jeffreys and Lady Jeffreys | 34-37 |

Untitled problem | 37 | |

Problems Drive 1977 | J. Mestel | 38-40 |

Magdelene | O. L. C. Toller | 40 |

Ramsey Problems in Euclidean Geometry | B. Bollobás | 41-45 |

Untitled problem | 45 | |

The Thirteen Spheres Problem | A. J. Wassermann | 46-49 |

Untitled problem | 49 | |

Magnetic Monopoles | P. Goddard | 50-52 |

et in Cantabrigiense ego ... | Ambrose Bonwicke | 53 |

Pell's Equation | R. C. Mason | 54-56 |

Lecture-Dynamics | P. Verschueren | 57-59 |

Untitled problem | 59 | |

Untitled problem | 59 | |

Book Reviews | O. L. C. Toller and M. C. Davies and A. M. Tonge and B. R. Tennison and M. R. Kipling and C. M. Noble | 60-63 |

Solutions to Problems Drive | J. Mestel | 64 |

Editors: R. C. Mason

Article title | Authors | Pages |
---|---|---|

Front matter | R. C. Mason | front cover-1 |

Acknowledgements | R. C. Mason | 2 |

Subscriptions | R. C. Mason | 2 |

a^{n}b^{n} = (ab)^{n} | I. N. Herstein | 3-7 |

Quantum Gravity | S. W. Hawking | 8-11 |

The Irrationality of | A. Baker | 12-14 |

On Wallpaper | S. J. Patterson | 14-20 |

The Unification of Weak and Electromagnetic Interactions | J. C. Polkinghorne | 21-23 |

Chatterton's Folly | M. C. Davies | 24-25 |

Some Applications of Probability Theory | D. J. H. Garling | 26-27 |

Problems Drive | J. R. Rickard and J. J. Hitchcock | 28-29 |

Two Theorems on the Kepler Ellipse | A. Tan | 30-32 |

The Archimedeans | M. R. Kipling | 33 |

Knottiness | W. B. R. Lickorish | 34-39 |

Solutions to Problems Drive | J. R. Rickard and J. J. Hitchcock | 40 |

Editors: C. N. Corfield and R. M. Durbin

Article title | Authors | Pages |
---|---|---|

Front matter | C. N. Corfield and R. M. Durbin | front cover-1 |

Editorial | C. N. Corfield and R. M. Durbin | 2 |

Advertisement | Bowes & Bowes Books | 2 |

The Archimedeans 1980/1 | Paul Taylor | 3-4 |

A Sense of History | Chris Budd | 4 |

The Mathematical Association | Douglas Quadling | 5 |

Problems Drive 1980 | 6-7 | |

Is The Sun A Clock? | D. O. Gough | 8-13 |

Summer Fun | G. N. Old | 14-16 |

Central Force Orbits Under Different Power Laws | A. Tan | 17-22 |

Joint Spectra | G. R. Allen | 23-25 |

Hydrodynamics With Random Geometry | G. K. Batchelor | 26-32 |

Almost All Games Are First Person Games | D. Singmaster | 33-37 |

Impure Mathematics | 38-39 | |

On How To Simplify Mathematics | P. Freyd | 40-42 |

Changing Variables | C. N. Corfield | 43-45 |

The Hunting Of J_{4} | J. H. Conway | 46-54 |

Problems Drive Answers | 55 |

Editors: C. N. Corfield and R. M. Durbin

Article title | Authors | Pages |
---|---|---|

Front matter | C. N. Corfield and R. M. Durbin | front cover-1 |

Editorial | C. N. Corfield and R. M. Durbin | 2 |

An Elementary Proof of | T. J. Ransford | 3-4 |

On the College Societies | P. Taylor | 5-7 |

Achieving the Skinny Animal | Frank Harary | 8-14 |

Primes in Arithmetic Progressions | N. Boston | 15-19 |

Pi and Pentagon | A. Tan | 20-22 |

Lagrangians in Action | C. N. Corfield | 23-26 |

The HO Scale Structure of Space-Time | C. J. Budd | 27-29 |

kth Powers of the Roots of Polynomials | P. Taylor | 30 |

The Liaison Group | P. Tompkins and P. Taylor | 31-33 |

Problems Drive 1982 | R. Pennington and N. Inglis | 34-37 |

"Fox and Hounds" or "Kiddies' Körner" | R. Thetford | 38-39 |

Enhancing Series | C. N. Corfield | 40-42 |

Image Processing by Maximum Entropy | J. Skilling | 43-47 |

Ordered Rings | P. Taylor | 48-53 |

The Kit-Kat | D. McLean | 54-57 |

Solutions to Problems Drive | R. Pennington and N. Inglis | 58 |

The Society | 59-60 |

Editors: N. Boston and C. J. Budd

Article title | Authors | Pages |
---|---|---|

Front matter | N. Boston and C. J. Budd | front cover-1 |

Editorial | C. J. Budd and N. Boston | 2 |

Acknowledgements | N. Boston and C. J. Budd | 2 |

The Archimedeans | J. Rickard | 3-4 |

Errata in Edition Number 42 | Frank Harary | 5-6 |

Some Simple Games We Still Can't Solve | R. K. Guy | 7-10 |

Problems Drive 1983 | R. Kerry and J. Rickard | 11-13 |

Nearly Abelian Groups | N. Boston | 14-17 |

Letter to the Editors | Bertha Jeffreys | 18-19 |

Topos Topics | P. T. Johnstone | 20-26 |

Mathematical Call My Bluff | C. J. Budd | 27-30 |

Geometrical Methods in Geometrical Optics | A. Tan | 31-35 |

Editorial Note | N. Boston and C. J. Budd | 35 |

Taking More To Heart The Society's Original Objects | P. Taylor | 36-40 |

Nim for Three - an Overview and an Offer of Alcohol | J. Propp | 41-46 |

The Boat Race - a Statistical Survey | G. A. Bancroft and D. J. Colwell and J. R. Gillett | 47-52 |

Codes and Curves | J. F. Voloch | 53-61 |

Solutions to Problems Drive | R. Kerry and J. Rickard | 62-63 |

The Archimedeans Committee 1983-4 | N. Boston and C. J. Budd | inside back cover |

Back matter | Piggott Printers (Cambridge) Ltd. | back cover |

Editors: Nigel Boston, Chris J. Budd and P. Taylor

Article title | Authors | Pages |
---|---|---|

Front matter | Nigel Boston and Chris J. Budd and P. Taylor | front cover-1 |

Editorial | Chris J. Budd | 2 |

Acknowledgments | Chris J. Budd | 2 |

The Society | Maxim I. Tingley | 3 |

The puzzles of Lewis Carroll | R. Sabey | 4-7 |

Colson News | Cedric A. B. Smith | 7 |

Chromatic Polynomials: An alternative approach to the Four-Colour Theorem? | D. R. Woodall | 8-12 |

Problems Drive 1981 | Paul Taylor and Clive D. W. Feather | 13-15 |

Egoritchev's proof of van der Waerden's conjecture | Béla Bollobás | 16-24 |

Voidology Theory | W. J. R. Mitchell | 25-29 |

Quantum Gravity | G. W. Gibbons | 30-35 |

A Construction for Geometrical Optics | P. Taylor | 36-38 |

Euclid's Algorithm - since Euclid | P. M. Cohn | 39-45 |

Are You a Pure Mathematician? | C. J. Budd | 46-50 |

The Decline and Fall of Euclid | D. Haskell | 51-57 |

Sampled Functions | C. J. Budd | 58-62 |

The Uniqueness of the Quaternions | P. Taylor | 63-68 |

A new operation? | N. Boston | 69-70 |

Answers to Problems Drive | Paul Taylor and Clive D. W. Feather | 71 |

Editors: M. D. Coleman and P. Taylor and E. Welbourne

Article title | Authors | Pages |
---|---|---|

Front matter | M. D. Coleman and P. Taylor and E. Welbourne | front cover-1 |

Advertisement | Coopers & Lybrand | 2 |

Editorial | Paul Taylor | 3-4 |

The Triennial Dinner | 4 | |

On Seeing Things | Christopher H. Longuet-Higgins | 5-7 |

Quote Quiz | Paul Taylor | 8-10 |

Letter to the Editor | Cedric A. B. Smith | 11-14 |

A point of contact between Mathematical Logic, Game Theory and Complexity Theory | Thomas E. Forster | 15-20 |

The Society | Mike J. Newman | 21 |

Problems Drive 1984 | Andy J. Bernoff and Richard Pennington | 22-24 |

Answers To The Quote Quiz | Paul Taylor | 24 |

The Mathematical Association | Rolph L. E. Schwarzenberger | 25 |

As Any Brontosaurus could tell you, It's not a Paradox | Eddy Welbourne | 26-30 |

The Riemann Hypothesis | Mark D. Coleman | 31-35 |

Clerihews | G. K. Sankaran | 36-39 |

Why is there an Elementary Proof of the Fundamental Theorem of Algebra? | J. Martin E. Hyland | 40-41 |

Gauss' Second Proof | Paul Taylor | 42-47 |

Authors | M. D. Coleman and P. Taylor and E. Welbourne | 48-49 |

Advertisement | Rex, Thompson & Partners | 49 |

Answers to Problems Drive | Andy J. Bernoff and Richard Pennington | 50 |

Advertisement | Thomson McLintock & Co | inside back cover |

Advertisement | Oxford University Press | back cover |

Editors: Edward Welbourne

Article title | Authors | Pages |
---|---|---|

Front matter | Edward Welbourne | front cover-i |

Advertisement | Procter & Gamble | ii |

Advertisement | Rex, Thompson & Partners | ii |

Editorial | Edward Welbourne | 1-3 |

Prelude | Miranda Mowbray and Richard Pennington and Edward Welbourne | 4 |

The Weird and Wonderful Chemistry of Audioactive Decay | John H. Conway | 5-16 |

The International School for Advanced Studies, Trieste | Dennis W. Sciama | 17-18 |

Problems Drive | Paul Smith and Bob Dowling | 19-23 |

Token Cynic | Bob Dowling | 23-24 |

A Storm in a Teacup | Paul Matthews | 25-29 |

The Society | The Last Recorder | 30-31 |

Situations Vacant | Edward Welbourne | 31-33 |

Was Descartes' mathematical physics Mathematical Physics? | Piers Bursill-Hall | 34-44 |

Why 12 × 2 = 25 | Ian White | 45-46 |

Modelling using the Poisson Distribution | D. J. Colwell and J. R. Gillett | 47-49 |

Conference | Douglas Quadling | 50 |

Answers to the Problems Drive | Paul Smith | 51-54 |

Loose Ends | Edward Welbourne | 54-55 |

Back matter | Edward Welbourne | back cover |

Editors: Neil Strickland

Article title | Authors | Pages |
---|---|---|

Front matter | Neil Strickland | front cover-1 |

Advertisement | Arthur Andersen & Co. | iii |

Editorial | Neil Strickland | 3 |

GO | Andrew Jones | 4-6 |

The Ignorance of Bourbaki | A. R. D. Mathias | 7-19 |

A Short History of Catastrophe Theory | Bob Dowling | 20 |

Automorphism Groups | Tom Wilde | 21-25 |

Mutterings | Bob Dowling | 26-28 |

A Quick Plug For Groggs | 29 | |

Two Problems of Quantum Measurement | Jeremy Butterfield | 30-44 |

Resistance rectangles | J. G. R. Levy | 45-48 |

DPMMS & DAMTP | Neil Strickland | 49-52 |

A Song of Six Splatts | Mark Owen and Matthew Richards | 53-58 |

Editors: Simon Morris

Article title | Authors | Pages |
---|---|---|

Front matter | Simon Morris | front cover-i |

Editorial | Simon Morris | 1 |

Truth in Mathematics? | Simon Morris | 2-6 |

The Society | Christopher J. Fewster | 7 |

The Eccentricity of Mathematicians | John F. Bowers | 8-14 |

Colouring Patterns of Squares (or, 101 uses for a very large chessboard) | Graham Nelson | 15-18 |

Wit and Wisdom 1 | Ruth Lilley and Bob Dowling and Ian Redfern and Alex Selby | 19 |

The Power of Mathematics | Lynn Arthur Steen | 20-26 |

Mathematics Has A Front And A Back | Reuben Hersh | 27-31 |

Backgammon | Stuart Melbourne | 32-33 |

The Propositional Calculus With Directed Graphs | Martin Gardner and Frank Harary | 34-40 |

Wit and Wisdom 2 | Ruth Lilley and Bob Dowling and Ian Redfern and Alex Selby | 41 |

A General Survey of the Mathematical Philosophy of Immanuel Kant | Robert K. Clifton | 42-54 |

Problems Drive | Chris Kilgour and Matthew Richards | 55-56 |

Introduction to Doughalese | Douglas R. Hofstadter | 57-64 |

An Introduction to Wargaming | Paul Fernandez | 65-67 |

Academic Freedom - A Personal View of Life Beyond the PhD | John Skilling | 68-70 |

Differentiation Rules, Okay | Clive Monk | 71-80 |

Ramanujan - A Glimpse of His Life and His Mathematics | Béla Bollobás | 81-98 |

Answers to Problems Drive | Chris Kilgour and Matthew Richards | 99 |

Editors: Graham Nelson

Article title | Authors | Pages |
---|---|---|

Front matter | Graham Nelson | front cover-1 |

Editorial: Fifty Years of Eureka | Graham Nelson | 2-4 |

Acknowledgements | Graham Nelson | 4 |

The Society | Gerard F. Thompson | 5 |

On Maximally Dense Forests | Matthew Richards | 6-21 |

13, 31 and the 3x + 1 Problem | Frazer Jarvis | 22-25 |

On the Epistemological and Metaphysical Problems of Probability | Alan Stacey | 26-30 |

On Smarties and Time Travel; or Why you haven't got a time machine | William Hurwood | 31-33 |

Problems Drive 1989 | Marcus Moore and Alan Stacey | 34-37 |

Mathematical Knowledge and Mathematical Understanding | Rolph Schwarzenberger | 38-46 |

And God Said, "" | Tim Auckland | 46 |

A Lattice of Topologies | Simon Morris | 47-48 |

Chess Puzzle | Adam Chalcraft | 48 |

A, B, C, D Problem | Luke Reader | 48 |

On Phone Numbers and Diophantine Approximation | Christopher J. Fewster | 49-55 |

Mathematical Limericks | Thomas Bending and Mark Wainwright | 56-59 |

Archimedean Poetry | 59 | |

Not the Schedules for the Mathematical Tripos, 1988-9 | 60-61 | |

Neutron | Helena Verrill | 62-66 |

Back to Square One | Derek J. Colwell and John R. Gillett and Brian C. Jones | 67-70 |

Interstice | Quinapalus | 71 |

Single Vertex Graphs | Clive Monk | 72-86 |

Solutions to Problems | Marcus Moore and Alan Stacey and Adam Chalcraft and Luke Reader | 87-88 |

The Cover "Hausdorff Dale" | Tim Auckland | inside back cover |

Editors: Mark Wainwright

Article title | Authors | Pages |
---|---|---|

Front matter | Mark Wainwright | front cover-2 |

Acknowledgements | Mark Wainwright | 2 |

Editorial | Mark Wainwright | 3-6 |

The Archimedeans | Colin Bell | 7-8 |

Tris | Adam Chalcraft | 9-11 |

Bulgarian Solitaire | Thomas Bending | 12-20 |

The Creative Archimedean At Work | 20 | |

Call My Bluff | Stephen Turner | 21-23 |

An Important New Result | 23 | |

Perestroika in the Maths Faculty | Heather Mendick | 24-27 |

Problems Drive 1990 | A. Frazer Jarvis and The Graham Nelson | 28-33 |

Beyond the Vanishing Point | Ian Stewart | 34-40 |

What Happens when an Engineer Learns some Maths; Or, On Archimedeans: A 16th-Century Tragi-Comedy | Piers Bursill-Hall | 41-56 |

G.H. Hardy and Control Engineering | Jonathan R. Partington | 57-59 |

Sir Michael Cometh | 59 | |

Unfair Games | Martin Baxter | 60-68 |

A Logical Problem | Colin Bell | 68 |

Debased | Quinapalus | 69 |

On Large Numbers | Mark Wainwright | 70-73 |

The Wobbler | Frederick Flowerday and David Singmaster | 74-78 |

Clerihews | G. S. Murchiston | 78 |

The Professor's New Book | Kevin Murphy | 79-86 |

Book Reviews | Mark Wainwright and Tim Auckland and John Aspden | 87-89 |

More Call My Bluff | Stephen Turner | 90 |

Solutions to Problems Drive | Frazer Jarvis and Graham Nelson | 91-92 |

Solution to "A Logical Problem" | Colin Bell | 92 |

The Cover | Thomas Bending | back cover |

Editors: Mark Wainwright

Article title | Authors | Pages |
---|---|---|

Front matter | Mark Wainwright | front cover-2 |

Acknowledgements | Mark Wainwright | 2 |

Editorial | Mark Wainwright | 3 |

The Archimedeans, 1990-1991 | Michael Aird | 4 |

Near Metric Theory | Paul Nicholls | 5 |

Galois' Group | Amites Sarkar | 6-12 |

Advertisement | Barclays Bank plc | 13 |

Advertisement | The Engineering Council | 13 |

Letter Addition and Doubly Self-Referential Haiku | Anton Cox | 14-15 |

The Prisoner's Dilemma | Kevin P. Murphy | 16-33 |

Tetris | Richard Tucker | 34-35 |

Miss Warren's Profession | Graham Nelson | 36-39 |

Free Market Maths | Paul Norridge | 39 |

Problems Drive 1991 | Michael Earnshaw and Tim Wilkins | 40-43 |

Clerihews | A. Nomet | 43 |

Some Unsolved Problems In Geometry, Number Theory and Combinatorics | Paul Erdös | 44-48 |

Cross-Number | Ampenditus | 48 |

What is Mac Lane missing? | A. R. D. Mathias | 49-52 |

Book Reviews | Stephen Turner and Vin de Silva | 53-54 |

More Clerihews | A. Nomet | 54 |

Solutions to Problems Drive | Michael Earnshaw and Tim Wilkins | 55-56 |

Limerick | inside back cover |

Editors: Michael T. Greene

Article title | Authors | Pages |
---|---|---|

Front matter | Michael T. Greene | front cover-2 |

Acknowledgements | Michael T. Greene | 2 |

Editorial | Michael T. Greene | 3 |

Mathematical Verse | Dilip Sequeira and Dilip Sequeira and Michael Fryers | 3 |

The Archimedeans | Vin de Silva | 4 |

Strictly Rectangular Representations | Colin Bell | 5-13 |

A Logical Puzzle | Anton Cox | 14 |

The Gromov Distance or Isometry up to | Roger Hendrickx | 15-22 |

Problems Drive 1992 | Vin de Silva and Oliver Riordan | 23-27 |

Let's Draw the Integers | The Faculty | 28-29 |

Flexagons | Vin de Silva | 30-44 |

An Infinite Grammatical Solecism | John Beasley and Mark Wainwright | 45 |

Crux Numerorum | Ampenditus | 45 |

Complex Bases | Adam Chalcraft | 46-52 |

Book Reviews | Anton Cox and Vin de Silva and Daniel Denman | 53-54 |

Solutions to Problems Drive | Vin de Silva and Oliver Riordan | 55-56 |

The Cover | Michael Greene and Richard Tucker | inside back cover |

Editors: Colin Bell; assistant editor Mark Walters

Article title | Authors | Pages |
---|---|---|

Front matter | Colin Bell and Mark Walters | front cover-1 |

Editorial | Colin Bell and Mark Walters | 2-3 |

The Archimedeans | Patricia Smart | 4 |

Train Sets | Adam Chalcraft and Michael Greene | 5-12 |

Representations as Sums of Squares | Mark Walters | 13-15 |

Fractional Iterations of Functions | Robin Michaels | 16-23 |

Gess the Game | Paul Bolchover | 24-27 |

A Mathematical Interlude | The Faculty | 28-29 |

Problems Drive 1993 | Timothy Luffingham | 30-32 |

CUMLL Annual Report | Mark Wainwright | 33-35 |

The Gyroscope | Kosuke Odagiri | 36-43 |

How to be a Good Lecturer | Jonathan Partington | 44-45 |

On Postulates of a Group | Jingcheng Tong | 46-47 |

Solving Polynomials | Jamie Gabbay | 48-52 |

A Result in Metrical Space Theory | Michael Fryers | 53 |

Density and Tides | Duncan Cochrane | 54 |

A Cross-No. | Negipnu the Scribe | 54 |

Solutions to the Problems Drive | Timothy Luffingham | 55-56 |

Editors: Alan Bain

Article title | Authors | Pages |
---|---|---|

Front matter | Alan Bain | front cover-1 |

Editorial | Alan Bain | 2 |

The Society 1993-1994 | Eva Myers | 2-3 |

The Society 1994-1995 | Sean Blanchflower | 3 |

One-Dimensional Tilings | Michael Greene and Robin Michaels | 4-13 |

Tatami Mats | Adam Chalcraft | 13 |

The Principle of Least Action | Mark Hayes | 14-19 |

Problems Drive 1994 | Colin Bell and Michael Fryers | 20-24 |

Sokoban | Michael Fryers and Michael Greene | 25-32 |

Train Sets Conjecture Disproved | Clive Monk | 32 |

Lectures You May Have Missed | 33 | |

Juggling Generators | Adam Chalcraft | 34-37 |

1995 Problems Drive | Luke Pebody and Richard Tucker | 38-41 |

The Bluffer's Guide to Poker | Mark Wainwright | 42-47 |

A Voting Problem | Eva Myers and Joseph Myers | 48-52 |

Solutions to the Problems Drives | Colin Bell and Michael Fryers and Richard Tucker and Luke Pebody | 53-56 |

Editors: Alan Bain

Article title | Authors | Pages |
---|---|---|

Front matter | Alan Bain | front cover-1 |

Editorial | Alan Bain | 2 |

The Committee 1996-2001 | Alan Bain | 3-4 |

Tatami Tilings | Alex Barnard | 5-9 |

A Small Road Network | Mark Wainwright | 10-13 |

Qarch Problems | 14-16 | |

Perfect Groups | Tom Leinster | 17-27 |

Problems Drive 1996 | Gareth McCaughan and Emma McCaughan | 28-33 |

Obituary Notice: Cedric A. B. Smith | Alan Bain | 33 |

The Intersecting Chords Theorem | Colin Bell | 34-42 |

Une Lettre | Blanche Descartes | 42 |

Problems Drive Solutions 1996 | Gareth McCaughan and Emma McCaughan | 43-45 |

Problems Drive 1997 | Paul Bolchover and Sean Blanchflower | 46-48 |

Curious Cubes | Blanche Descartes | 49 |

Lectures You May Have Missed | 50-51 | |

A Peano Space Filling Curve in the Unit Box [0, 1] × [0, 1] | 51 | |

Qarch Solutions | 52-53 | |

Carpentry: a fable | R. Brown | 54 |

Problems Drive Solutions 1997 | Paul Bolchover and Sean Blanchflower | 55-56 |

Editors: Vicky Neale

Article title | Authors | Pages |
---|---|---|

Front matter | Vicky Neale | front cover-1 |

Editorial | Vicky Neale | 2 |

Acknowledgements | Vicky Neale | 2 |

The Archimedeans, 2002-2004 | David Chow | 3 |

Errata to Eureka 55 | Vicky Neale | 3 |

p, not p or neither? | George Raptis | 4-7 |

Some Notes on the Theory of Cycling | David Loeffler | 8-10 |

Problems Drive 2003 | Toby Kenney and Paul Russell | 11-13 |

Partial Orders and Topologies on Finite Sets | Demetres Christofides and George Raptis | 14-18 |

Nothing | A. Robert Pargeter | 19 |

Back Issues of Eureka | Vicky Neale | 19 |

Tiling with Regular Star Polygons | Joseph Myers | 20-27 |

How Mathematics Saved Christmas | Stephen Burgess | 28 |

Request for Reminiscences | 28 | |

Book Reviews | Stephen Burgess and Jenny Gardner | 29 |

From the Mathematical Innovations Catalogue | Chris Cummins | 30 |

Solutions to the Problems Drive | Toby Kenney and Paul Russell | 31-32 |

Committee of the Archimedeans, 2002-2003 | 32 |

Editors: Erica Thompson; assistant editor David Chow

Article title | Authors | Pages |
---|---|---|

Front matter | Erica Thompson | front cover-1 |

Editorial | Erica Thompson | 2 |

Acknowledgements | Erica Thompson | 2 |

The Archimedeans 2004-2005 | Jenny Gardner | 3 |

Erratum to Eureka 56 | Erica Thompson | 3 |

Fractals, Image Compression and the Contraction Mapping Theorem | Alexander Shannon | 4-9 |

Seminars for Undergraduates | 9 | |

Birthdays on Jupiter | Ian Stewart | 10-14 |

Paul's Letter to the Romans, Chapter 5 Verse 8 (The New Mathmo Translation) | Stephen Burgess | 14 |

Back Issues of Eureka | 14 | |

Problems Drive 2004 | David Chow and Vicki Wright | 15-18 |

The Mathematics of Juggling | Owen Jones | 19-24 |

Invertible Set Theory | David Chow | 25 |

The Physics of Floating | Dominic Vella | 26-30 |

Puzzle Hunt | Alexander Shannon | 30 |

A purely analytic irrationality proof | Tom Müller | 31-32 |

(8) - A Cryptic Clerihew | d'Ag | 32 |

Thoughts on Geometric Realisability | Jonny Evans | 33-34 |

Book Reviews | Dan Jane and David Chow and Erica Thompson and Jacob Shepherd | 35-36 |

The Archimedeans' Bookshop | 36 | |

Solutions to the Problems Drive | David Chow and Vicki Wright | 37 |

Copyright © 2002-4 The Archimedeans.

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