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Cassels, J. W. S.:

LMSST: 24 Lectures on Elliptic Curves (London Mathematical Society Student Texts) - hardcover

1991, ISBN: 0521415179

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ISBN: 9780521415170

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Cassels, J. W. S:
LMSST: 24 Lectures on Elliptic Curves (London Mathematical Society Student Texts) - used book

ISBN: 9780521415170

Cambridge University Press. Used - Good. Former Library book. Shows some signs of wear, and may have some markings on the inside., Cambridge University Press

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J. W. S. Cassels:
LMSST: 24 Lectures on Elliptic Curves (London Mathematical Society Student Texts) - hardcover

1991, ISBN: 9780521415170

Cambridge University Press, 1991-11-29. 1. Hardcover. Good., Cambridge University Press, 1991-11-29

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Cassels, J. W. S.:
Lectures on Elliptic Curves - used book

ISBN: 9780521415170

Hardcover book. 137 pages. Published by Cambridge University Press Media > Book, [PU: Cambridge University Press]

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Lmsst: 24 Lectures On Elliptic Curves

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.

Details of the book - Lmsst: 24 Lectures On Elliptic Curves


EAN (ISBN-13): 9780521415170
ISBN (ISBN-10): 0521415179
Hardcover
Publishing year: 1991
Publisher: Cambridge University Press

Book in our database since 2007-06-04T14:05:21-04:00 (New York)
Detail page last modified on 2020-08-11T04:35:05-04:00 (New York)
ISBN/EAN: 9780521415170

ISBN - alternate spelling:
0-521-41517-9, 978-0-521-41517-0
Alternate spelling and related search-keywords:
Book author: cassels
Book title: elliptic curves, lectures curves


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9780521425308 LMSST: 24 Lectures on Elliptic Curves J. W. S. Cassels Author (Cassels, J.W. S.)


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