MARC details
| 000 -LEADER |
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| fixed length control field |
02392nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240607150819.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240604b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9798886130843 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.135 |
| Item number |
MIL-E |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Milne, James S. |
| 245 10 - TITLE STATEMENT |
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| Title |
Elliptic curves |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Singapore : |
| Name of publisher, distributor, etc. |
World Scientific, |
| Date of publication, distribution, etc. |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 308p. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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.<br/><br/>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.<br/><br/>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.<br/><br/>The first three chapters develop the basic theory of elliptic curves.<br/><br/>For this edition, the text has been completely revised and updated. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Curves, Elliptic. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Content |
| Uniform Resource Identifier |
<a href="https://www.worldscientific.com/doi/epdf/10.1142/9789811221842_fmatter">https://www.worldscientific.com/doi/epdf/10.1142/9789811221842_fmatter</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/800509.Elliptic_Curves?from_search=true&from_srp=true&qid=rYWk1Istun&rank=17#CommunityReviews">https://www.goodreads.com/book/show/800509.Elliptic_Curves?from_search=true&from_srp=true&qid=rYWk1Istun&rank=17#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
NBHM Books |
| Source of classification or shelving scheme |
Universal Decimal Classification |
