The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

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9780387094939: The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
Review:

From the reviews of the second edition: "This well-written book covers the basic facts about the geometry and arithmetic of elliptic curves, and is sure to become the standard reference in the subject. It meets the needs of at least three groups of people: students interested in doing research in Diophantine geometry, mathematicians needing a reference for standard facts about elliptic curves, and computer scientists interested in algorithms and needing an introduction to elliptic curves..."-- MATHEMATICAL REVIEWS "The book under review is the second, revised, enlarged, and updated edition of J. Silverman's meanwhile classical primer of the arithmetic of elliptic curves. ... All together, this enlarged and updated version of J. Silverman's classic 'The Arithmetic of Elliptic Curves' significantly increases the unchallenged value of this modern primer as a standard textbook in the field. ... This makes the entire text a perfect source for teachers and students, for courses and self-study, and for further studies in the arithmetic of elliptic curves likewise." (Werner Kleinert, Zentralblatt MATH, Vol. 1194, 2010) "For the second edition of his masterly book, the author considerably updated and improved several results and proofs. ... book contains a great many exercises, many of which develop or complement the results from the main body of the book. ... The reference list contains 317 items and reflects both classical and recent achievements on the topic. Notes on the exercises are an aid to the reader. ... Summarizing, this is an excellent book ... . useful both for experienced mathematicians and for graduate students."--- (Vasil' I. Andriichuk, Mathematical Reviews, Issue 2010 i) "This is the second edition of an excellent textbook on the arithmetical theory of elliptic curves ... . Although there are now a number of good books on this topic it has stood the test of time and become a popular introductory text and a standard reference. ... The author has added remarks which point out their significance and connection to those parts of the theory he presents. These will give readers a good start if they want to study one of them." (Ch. Baxa, Monatshefte fur Mathematik, Vol. 164 (3), November, 2011) "The book is written for graduate students ... and for researchers interested in standard facts about elliptic curves. ... A wonderful textbook on the arithmetic theory of elliptic curves and it is a very popular introduction to the subject. ... I recommend this book for anyone interested in the mathematical study of elliptic curves. It is an excellent introduction, elegant and very well written. It is one of the best textbooks to graduate level studies I have ever had contact yet." (Book Inspections Blog, 2012)

From the Publisher:

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.

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Silverman, Joseph H.
ISBN 10: 0387094938 ISBN 13: 9780387094939
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Descripción Estado de conservación: Brand New. U.S.Edition ,Brand New,Hardcover,Perfect Condition. Printed in English. excellent Quality, and customer satisfaction guaranteed. NO CD ROM & NO ACCESS CODE.We Do not Ship APO FPO AND PO BOX. Nº de ref. de la librería ABEKHST084

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Silverman, Joseph H.
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Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. 238 x 162 mm. Language: English . Brand New Book. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Nº de ref. de la librería AAZ9780387094939

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Silverman, Joseph H.
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Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. 238 x 162 mm. Language: English . Brand New Book. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Nº de ref. de la librería AAZ9780387094939

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Descripción Estado de conservación: New. New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Nº de ref. de la librería ABE-190516-23282

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Descripción Estado de conservación: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Nº de ref. de la librería SHAK23282

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Descripción Springer-Verlag New York Inc. Hardback. Estado de conservación: new. BRAND NEW, The Arithmetic of Elliptic Curves (2nd ed. 2009), Joseph H. Silverman, The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. Nº de ref. de la librería B9780387094939

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Descripción Springer-Verlag New York Inc. 2009-05-29, New York, NY, 2009. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387094939

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Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780387094939

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Silverman, Joseph H.
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Descripción Springer-Verlag New York Inc., 2009. Estado de conservación: New. 2009. 2nd ed. 2009. Hardcover. The theory of elliptic curves is distinguished by the diversity of the methods used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Series: Graduate Texts in Mathematics. Num Pages: 514 pages, 14 black & white illustrations, 2 black & white tables, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 245 x 165 x 25. Weight in Grams: 912. . . . . . . Nº de ref. de la librería V9780387094939

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