The Sensual (Quadratic) Form

Specificaties
Gebonden, 166 blz. | Engels
The Mathematical Association of America | e druk, 1998
ISBN13: 9780883850305
Rubricering
The Mathematical Association of America e druk, 1998 9780883850305
Onderdeel van serie Carus Mathematical M
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

The 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.

Specificaties

ISBN13:9780883850305
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:166
Uitgever:The Mathematical Association of America

Inhoudsopgave

Preface; 1. The first lecture: can you see the values of 2x2 + 6xy – 5y2?; 2. Afterthoughts: PSL2(Z) and Farey functions; 3. The second lecture: can you hear the shape of a lattice?; 4. Afterthoughts: Kneser's gluing method – unimodular lattices; 5. The third lecture: ... and can you feel its form?; 6. Afterthoughts: feeling the form of a four dimensional lattice; 7. The fourth lecture: the primary fragrances; 8. Afterthought: more about the invariants – p-adic numbers; 9. Postscript: a taste of number theory; Bibliography.

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        The Sensual (Quadratic) Form