Variations on a Theme of Euler: Quadratic Forms, Elliptic Curves, and Hopf Maps

Author:   Takashi Ono
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1995
ISBN:  

9781441932419


Pages:   347
Publication Date:   06 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Variations on a Theme of Euler: Quadratic Forms, Elliptic Curves, and Hopf Maps


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Author:   Takashi Ono
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1995
Dimensions:   Width: 15.20cm , Height: 1.80cm , Length: 22.90cm
Weight:   1.120kg
ISBN:  

9781441932419


ISBN 10:   1441932410
Pages:   347
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I. Introduction.- 1. Quadratic Forms.- 2. Algebraic Varieties.- 3. Plane Algebraic Curves.- 4. Space Elliptic Curves.- 5. Quadratic Spherical Maps.- 6. Hurwitz Problem.- 7. Arithmetic of Quadratic Maps.- Answers and Hints to Selected Exercises.- A1.4. Chronological Table and Record.- References.- Appendix 2. A Short Survey of Subsequent Research on Congruent Numbers.- Masanari Kida.- References.

Reviews

From a review of the Japanese-language edition: `A beautifully written book...The statement of the problem is very clear-that is, [the author] claims that one aspect of classical and modern number theory can be considered as the number theory of Hopf maps-and then he solves this problem....skillfully and perspectively organized...This book will be a good introductory textbook...There has never been a textbook similar to this....I highly recommend this book.' Michio Kuga, Professor, late of State University of New York at Stony Brook


From a review of the Japanese-language edition: 'A beautifully written book...The statement of the problem is very clear-that is, [the author] claims that one aspect of classical and modern number theory can be considered as the number theory of Hopf maps-and then he solves this problem...skillfully and perspectively organized...This book will be a good introductory textbook...There has never been a textbook similar to this...I highly recommend this book.' Michio Kuga, Professor, late of State University of New York at Stony Brook


From a review of the Japanese-language edition: 'A beautifully written book...The statement of the problem is very clear-that is, [the author] claims that one aspect of classical and modern number theory can be considered as the number theory of Hopf maps-and then he solves this problem...skillfully and perspectively organized...This book will be a good introductory textbook...There has never been a textbook similar to this...I highly recommend this book.' Michio Kuga, Professor, late of State University of New York at Stony Brook


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