Rational points on elliptic curves / (Record no. 12918)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02703cam a22002775i 4500 |
| 001 - CONTROL NUMBER | |
| control field | GB498 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IN-BhIIT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20231123170513.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130321s1992 xxu|||| o |||| 0|eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9788181282699 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IN-BhIIT |
| 041 ## - LANGUAGE CODE | |
| Language code of text | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.352 |
| Book number | SIL/R |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Silverman, Joseph H, |
| Relator term | Author. |
| 245 10 - TITLE STATEMENT | |
| Title | Rational points on elliptic curves / |
| Statement of responsibility, etc | by Joseph H. Silverman, John Tate. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Delhi : |
| Name of publisher | Springer, |
| Year of publication | 1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 281 p. : |
| Other physical details(ill.) | ill. ; |
| Dimensions(size) | 24 cm |
| 490 1# - SERIES STATEMENT | |
| Series statement | Undergraduate Texts in Mathematics, |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Including bibliography and index. |
| 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. |
| Topical Term | Algebraic Geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tate, John, |
| Relator term | Joint author. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Gratis Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|
| Not withdrawn | Not Lost | not damaged | Central Library, IIT Bhubaneswar | Central Library, IIT Bhubaneswar | 23/11/2023 | 516.352 SIL/R | GB498 | 23/11/2023 | Gratis Book |