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The Sensual (quadratic) Form
 
John Horton Conway

Assisted by Francis Y. C. Fung
The Sensual (quadratic) Form
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-4842-4
Product Code:  CAR/26
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
eBook ISBN:  978-1-61444-025-3
Product Code:  CAR/26.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-1-4704-4842-4
eBook: ISBN:  978-1-61444-025-3
Product Code:  CAR/26.B
List Price: $95.00 $72.50
MAA Member Price: $71.25 $54.38
AMS Member Price: $71.25 $54.38
Add to cart
The Sensual (quadratic) Form
Click above image for expanded view
The Sensual (quadratic) Form
John Horton Conway

Assisted by Francis Y. C. Fung
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-4842-4
Product Code:  CAR/26
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
eBook ISBN:  978-1-61444-025-3
Product Code:  CAR/26.E
List Price: $45.00
MAA Member Price: $33.75
AMS Member Price: $33.75
Softcover ISBN:  978-1-4704-4842-4
eBook ISBN:  978-1-61444-025-3
Product Code:  CAR/26.B
List Price: $95.00 $72.50
MAA Member Price: $71.25 $54.38
AMS Member Price: $71.25 $54.38
Add to cart
  • Book Details
     
     
    The Carus Mathematical Monographs
    Volume: 26; 1997; 152 pp
    MSC: Primary 11

    John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures.

    The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.
  • Table of Contents
     
     
    • Chapters
    • The first lecture. Can you see the values of $3x^2+6xy-5y^2$?
    • Afterthoughts. ${PSL}_2(Z)$ and Farey Fractions
    • The second lecture. Can you hear the shape of a lattice?
    • Afterthoughts. Kneser’s gluing method: Unimodular lattices
    • The third lecture. $\dots $and can you feel its form?
    • Afterthoughts. Feeling the form of a four-dimensional lattice
    • The fourth lecture. The primary fragrances
    • Afterthoughts. More about the invariants: The $p$-adic numbers
    • Postscript. A taste of number theory
  • Reviews
     
     

    • Absolutely fascinating from beginning to end.
      Ian Stewart, New Scientist

    • This is a book rich in ideas. They seem to burst forth from almost every page ... I suspect that the author's hope that "even the experts will find some new enlightenment here" will be realized.
      The Mathematics Teacher

    • A very original book ... The lectures are self-contained for the graduate reader ... full of new ideas, and thus of real interest also to experts.
      Zentralblatt fur Mathematik
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
The Carus Mathematical Monographs
Volume: 26; 1997; 152 pp
MSC: Primary 11

John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures.

The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.
  • Chapters
  • The first lecture. Can you see the values of $3x^2+6xy-5y^2$?
  • Afterthoughts. ${PSL}_2(Z)$ and Farey Fractions
  • The second lecture. Can you hear the shape of a lattice?
  • Afterthoughts. Kneser’s gluing method: Unimodular lattices
  • The third lecture. $\dots $and can you feel its form?
  • Afterthoughts. Feeling the form of a four-dimensional lattice
  • The fourth lecture. The primary fragrances
  • Afterthoughts. More about the invariants: The $p$-adic numbers
  • Postscript. A taste of number theory

  • Absolutely fascinating from beginning to end.
    Ian Stewart, New Scientist

  • This is a book rich in ideas. They seem to burst forth from almost every page ... I suspect that the author's hope that "even the experts will find some new enlightenment here" will be realized.
    The Mathematics Teacher

  • A very original book ... The lectures are self-contained for the graduate reader ... full of new ideas, and thus of real interest also to experts.
    Zentralblatt fur Mathematik
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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