# The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

## Joseph H. Silverman

4,22 valoración promedio
( 32 valoraciones por Goodreads )

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

From the Back Cover:

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 theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields, the complex numbers, local fields, and global fields. Included are proofs of the Mordell–Weil theorem giving finite generation of the group of rational points and Siegel's theorem on finiteness of integral points.

For this second edition of The Arithmetic of Elliptic Curves, there is a new chapter entitled Algorithmic Aspects of Elliptic Curves, with an emphasis on algorithms over finite fields which have cryptographic applications. These include Lenstra's factorization algorithm, Schoof's point counting algorithm, Miller's algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro's conjecture and ABC, as well as expanded and updated accounts of recent developments and numerous new exercises.

The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.

Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. He is currently a member of the Council of the American Mathematical Society. His research areas of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage. He has published 9 highly successful books with Springer, including the recently released, An Introduction to Mathematical Cryptography, for Undergraduate Texts in Mathematics.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 42,58

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America

Destinos, gastos y plazos de envío

## 1.The Arithmetic of Elliptic Curves (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. 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

Comprar nuevo
EUR 42,58
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 2.The Arithmetic Of Elliptic Curves 2Ed (Hb 2009)

ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
bookscollection
(Delhi, DELHI, India)
Valoración

Descripción Estado de conservación: Brand New. HARDCOVER, Book Condition New, U.S. EDITION. We Do not Ship APO FPO AND PO BOX. . Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Nº de ref. de la librería ABE ORG##CB12379

Comprar nuevo
EUR 41,65
Convertir moneda
Gastos de envío: EUR 3,50
De India a Estados Unidos de America
Destinos, gastos y plazos de envío

## 3.The Arithmetic of Elliptic Curves (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. 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

Comprar nuevo
EUR 45,25
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 4.The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Editorial: Springer (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
Chiron Media
(Wallingford, Reino Unido)
Valoración

Descripción Springer, 2009. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-GRD-00659868

Comprar nuevo
EUR 44,31
Convertir moneda
Gastos de envío: EUR 3,35
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 5.The Arithmetic of Elliptic Curves

Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Impresión bajo demanda
Librería
Pbshop
(Wood Dale, IL, Estados Unidos de America)
Valoración

Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387094939

Comprar nuevo
EUR 46,42
Convertir moneda
Gastos de envío: EUR 3,39
Destinos, gastos y plazos de envío

## 6.The Arithmetic of Elliptic Curves

Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración

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

Comprar nuevo
EUR 39,90
Convertir moneda
Gastos de envío: EUR 10,07
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 7.The Arithmetic of Elliptic Curves

Editorial: Springer New York 2009-05-29, Dordrecht |London (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Nuevos Tapa dura Cantidad: > 20
Librería
Blackwell's
(Oxford, OX, Reino Unido)
Valoración

Descripción Springer New York 2009-05-29, Dordrecht |London, 2009. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387094939

Comprar nuevo
EUR 44,18
Convertir moneda
Gastos de envío: EUR 6,71
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 8.The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) (Hardcover)

ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
Speedy Hen LLC
(Sunrise, FL, Estados Unidos de America)
Valoración

Descripción Estado de conservación: New. Bookseller Inventory # ST0387094938. Nº de ref. de la librería ST0387094938

Comprar nuevo
EUR 51,65
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 9.The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Editorial: Springer (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Librería
Ria Christie Collections
(Uxbridge, Reino Unido)
Valoración

Descripción Springer, 2009. Estado de conservación: New. book. Nº de ref. de la librería ria9780387094939_rkm

Comprar nuevo
EUR 52,92
Convertir moneda
Gastos de envío: EUR 4,33
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 10.The Arithmetic of Elliptic Curves

Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 0387094938 ISBN 13: 9780387094939
Impresión bajo demanda
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780387094939

Comprar nuevo
EUR 47,59
Convertir moneda
Gastos de envío: EUR 10,07
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío