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ISBN: 9780521425308

ID: 1750683

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. Lectures on Elliptic Curves Cassels, J. W. S., Cambridge University Press

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ISBN: 9780521425308

ID: 9780521425308

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. Number theory, [PU: Cambridge University Press]

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1991, ISBN: 0521425301

ID: 14095506710

[EAN: 9780521425308], Neubuch, [PU: Cambridge University Press], Mathematics|Mathematical Analysis, Mathematics|Number Theory, Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

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1991, ISBN: 9780521425308

ID: 536404204

Cambridge University Press, 1991-11-29. Paperback. Used:Good. Excellent customer service. Prompt Customer Service. Buy with confidence. Ships Fast. 24*7 Customer Service., Cambridge University Press, 1991-11-29

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London Mathematical Society Student Texts LMSST 24 Lectures on Elliptic Curves 24 by J W S Cassels 1991 Paperback

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ISBN: 0521425301

ID: 19856848786

[EAN: 9780521425308], Neubuch, Mathematics|Mathematical Analysis, Mathematics|Number Theory, Book Condition: Brand New, [PU: Cambridge University Press]

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Title: | ## Lectures on Elliptic Curves |

ISBN: |

** Details of the book - Lectures on Elliptic Curves**

EAN (ISBN-13): 9780521425308

ISBN (ISBN-10): 0521425301

Paperback

Publishing year: 1991

Publisher: CAMBRIDGE UNIV PR

144 Pages

Weight: 0,222 kg

Language: eng/Englisch

Book in our database since 04.06.2007 20:05:21

Book found last time on 24.06.2017 21:27:56

ISBN/EAN: 0521425301

ISBN - alternate spelling:

0-521-42530-1, 978-0-521-42530-8

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