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The Sensual (Quadratic) Form

The Sensual (Quadratic) Form

Part of Carus Mathematical Monographs

  • Date Published: August 2015
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • format: Paperback
  • isbn: 9780883850404


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About the Authors
  • 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.

    • Conway is a very distinguished mathematician and well-known author
    • Contains many original insights into the subject
    • Can be appreciated without formal mathematical training
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    Reviews & endorsements

    'Absolutely fascinating from beginning to end.' New Scientist

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    Product details

    • Date Published: August 2015
    • format: Paperback
    • isbn: 9780883850404
    • length: 162 pages
    • dimensions: 205 x 140 x 10 mm
    • weight: 0.2kg
    • contains: 68 b/w illus.
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • Table of 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 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

  • Author

    John Horton Conway, Princeton University, New Jersey

    Assisted by

    Francis Y. C. Fung

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