The Sensual (Quadratic) FormThe distinguished mathematician John Conway presents quadratic forms in a pictorial way that enables the reader to understand them mathematically without proving theorems in the traditional fashion. One learns to sense their properties. In his customary enthusiastic style, Conway uses his theme to cast light on all manner of mathematical topics from algebra, number theory and geometry, including many new ideas and features. |
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Contents
PSL2Z and Farey Fractions | 27 |
THE SECOND LECTURE | 35 |
THE THIRD LECTURE | 61 |
THE FOURTH LECTURE | 91 |
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Common terms and phrases
2-adic symbol 3-dimensional arithmetic audible base becomes binary called character colors complete congruences conorms consider consists contain continue corresponding defined describe determinant diagonal dimensions discussion edge entries equal equivalent example fact figure finite follows form f formula four fourth function Gauss mean genus give given global relation glue vectors integers invariants labeled lattice least lecture Lemma length Mathematical matrix modulo multiple namely negative nonzero norm obtain obtuse superbase orthogonal p-adic parameters particular permutation plane players points positive definite possible powers prime problem proof prove quadratic form rational represents respect result river root lattices rule shape signature similar simple smallest space spinor squares sum of three superbase suppose Theorem theory third topograph trivial turns unimodular usually values Voronoi cell
Bibliographic information
| Title | The Sensual (Quadratic) Form Issue 26 of Carus Mathematical Monographs, ISSN 0069-0813 |
| Authors | John Horton Conway, Francis Y. C. Fung |
| Contributor | Mathematical Association of America |
| Edition | illustrated, reprint |
| Publisher | Cambridge University Press, 1997 |
| ISBN | 0883850303, 9780883850305 |
| Length | 152 pages |
| Subjects | › › Mathematics / Algebra / General Mathematics / General Mathematics / Geometry / General Mathematics / Mathematical Analysis Mathematics / Number Theory |
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