Rational Points on Elliptic Curves / (Record no. 4012)

MARC details
000 -LEADER
fixed length control field 02531cam a22002415i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210924164341.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130321s1992 xxu|||| o |||| 0|eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783319185873
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Item number SIL/R
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Silverman, Joseph H,
245 10 - TITLE STATEMENT
Title Rational Points on Elliptic Curves /
Statement of responsibility, etc by Joseph H. Silverman, John Tate.
250 ## - EDITION STATEMENT
Edition statement 2
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Heidelberg
Name of publisher Springer
Year of publication 2015
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxii, 332
490 1# - SERIES STATEMENT
Series statement Undergraduate Texts in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note I Geometry and Arithmetic -- II Points of Finite Order -- III The Group of Rational Points -- IV Cubic Curves over Finite Fields -- V Integer Points on Cubic Curves -- VI Complex Multiplication -- Appendix A Projective Geometry -- 1. Homogeneous Coordinates and the Projective Plane -- 2. Curves in the Projective Plane -- 3. Intersections of Projective Curves -- 4. Intersection Multiplicities and a Proof of Bezout's Theorem -- Exercises -- List of Notation.
520 ## - SUMMARY, ETC.
Summary, etc In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran- scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por- tions have appeared in various textbooks (Husemoller [1], Chahal [1]), but they have never appeared in their entirety. In view of the recent inter- est in the theory of elliptic curves for subjects ranging from cryptogra- phy (Lenstra [1], Koblitz [2]) to physics (Luck-Moussa-Waldschmidt [1]), as well as the tremendous purely mathematical activity in this area, it seems a propitious time to publish an expanded version of those original notes suitable for presentation to an advanced undergraduate audience. We have attempted to maintain much of the informality of the orig- inal Haverford lectures. Our main goal in doing this has been to write a textbook in a technically difficult field which is "readable" by the average undergraduate mathematics major. We hope we have succeeded in this goal. The most obvious drawback to such an approach is that we have not been entirely rigorous in all of our proofs. In particular, much of the foundational material on elliptic curves presented in Chapter I is meant to explain and convince, rather than to rigorously prove.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebraic geometry.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebraic Geometry.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Tate, John,
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Bill number Full call number Accession Number Bill Date/Price effective from Koha item type Source of acquisition
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati Reference 24/09/2021 IN29380/21-22 REF 516.35 SilR2 07949 17/08/2021 Reference  
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 24/09/2021 IN29380/21-22 516.35 SIL/R 07950 17/08/2021 Books