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Undergraduate Texts in Mathematics

Rational Points on Elliptic Curves

Authors: Silverman, Joseph H., Tate, John T.

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eBook 29,99 €
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  • ISBN 978-1-4757-4252-7
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Hardcover 38,43 €
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  • ISBN 978-0-387-97825-3
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Softcover 38,43 €
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  • ISBN 978-1-4419-3101-6
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

In 1961 the second author deliv1lred a series of lectures at Haverford Col­ lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran­ scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por­ tions have appeared in various textbooks (Husemoller [1], Chahal [1]), but they have never appeared in their entirety. In view of the recent inter­ est in the theory of elliptic curves for subjects ranging from cryptogra­ phy (Lenstra [1], Koblitz [2]) to physics (Luck-Moussa-Waldschmidt [1]), as well as the tremendous purely mathematical activity in this area, it seems a propitious time to publish an expanded version of those original notes suitable for presentation to an advanced undergraduate audience. We have attempted to maintain much of the informality of the orig­ inal Haverford lectures. Our main goal in doing this has been to write a textbook in a technically difficult field which is "readable" by the average undergraduate mathematics major. We hope we have succeeded in this goal. The most obvious drawback to such an approach is that we have not been entirely rigorous in all of our proofs. In particular, much of the foundational material on elliptic curves presented in Chapter I is meant to explain and convince, rather than to rigorously prove.

Reviews

From the reviews:

"The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS

"This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. … The examples really pull together the material and make it clear. … a great book for a first introduction to the subject of elliptic curves. … very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008)


Table of contents (7 chapters)

  • Introduction

    Silverman, Joseph H. (et al.)

    Pages 1-8

    Preview Buy Chapter 30,19 €
  • Geometry and Arithmetic

    Silverman, Joseph H. (et al.)

    Pages 9-37

    Preview Buy Chapter 30,19 €
  • Points of Finite Order

    Silverman, Joseph H. (et al.)

    Pages 38-62

    Preview Buy Chapter 30,19 €
  • The Group of Rational Points

    Silverman, Joseph H. (et al.)

    Pages 63-106

    Preview Buy Chapter 30,19 €
  • Cubic Curves over Finite Fields

    Silverman, Joseph H. (et al.)

    Pages 107-144

    Preview Buy Chapter 30,19 €

Buy this book

eBook 29,99 €
price for Spain (gross)
  • ISBN 978-1-4757-4252-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 38,43 €
price for Spain (gross)
  • ISBN 978-0-387-97825-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 38,43 €
price for Spain (gross)
  • ISBN 978-1-4419-3101-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Rational Points on Elliptic Curves
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1992
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-4252-7
DOI
10.1007/978-1-4757-4252-7
Hardcover ISBN
978-0-387-97825-3
Softcover ISBN
978-1-4419-3101-6
Series ISSN
0172-6056
Edition Number
1
Number of Pages
X, 281
Topics