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Sensual (Quadratic) Form

By: Material type: TextTextLanguage: English Series: Carus Mathematical Monographs ; 26Publication details: USA Mathematical Association of America 1997Description: xiii, 152p. illISBN:
  • 0883850303 (HB)
Subject(s):
Contents:
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 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
Summary: Quadratic forms are here presented, by the distinguished mathematician John Conway, 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.
Item type: BOOKS
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Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.55(081)“1997”CON (Browse shelf(Opens below)) Available 38763

Includes index

Includes bibliography (p. 143-146) and references.

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 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

Quadratic forms are here presented, by the distinguished mathematician John Conway, 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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