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Elliptic Curves (second Edition) - Softcover

 
9789811274039: Elliptic Curves (second Edition)
  • PublisherWSPC
  • Publication date2020
  • ISBN 10 9811274037
  • ISBN 13 9789811274039
  • BindingPaperback
  • LanguageEnglish
  • Edition number2
  • Number of pages318

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9789811221835: ELLIPTIC CURVES (SECOND EDITION)

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ISBN 10:  9811221839 ISBN 13:  9789811221835
Publisher: World Scientific Publishing Co P..., 2020
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Milne, James S
Published by WSPC, 2020
ISBN 10: 9811274037 ISBN 13: 9789811274039
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Condition: Very Good. Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting. 1.21. Seller Inventory # 9811274037-2-3

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Milne, James S
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Condition: Good. Good condition. This is the average used book, that has all pages or leaves present, but may include writing. Book may be ex-library with stamps and stickers. 1.21. Seller Inventory # 353-9811274037-gdd

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Milne, James S
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Milne, James S
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Paperback. Condition: new. Paperback. This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a plane curve defined by a cubic polynomial. Although the problem of finding the rational points on an elliptic curve has fascinated mathematicians since ancient times, it was not until 1922 that Mordell proved that the points form a finitely generated group. There is still no proven algorithm for finding the rank of the group, but in one of the earliest important applications of computers to mathematics, Birch and Swinnerton-Dyer discovered a relation between the rank and the numbers of points on the curve computed modulo a prime. Chapter IV of the book proves Mordell's theorem and explains the conjecture of Birch and Swinnerton-Dyer.Every elliptic curve over the rational numbers has an L-series attached to it.Hasse conjectured that this L-series satisfies a functional equation, and in 1955 Taniyama suggested that Hasse's conjecture could be proved by showing that the L-series arises from a modular form. This was shown to be correct by Wiles (and others) in the 1990s, and, as a consequence, one obtains a proof of Fermat's Last Theorem. Chapter V of the book is devoted to explaining this work.The first three chapters develop the basic theory of elliptic curves.For this edition, the text has been completely revised and updated. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789811274039

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