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Graduate Texts in Mathematics Ser.: Introduction to Elliptic Curves and Modular Forms by Neal Koblitz (1993, Hardcover)
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About this product
Product Identifiers
PublisherSpringer New York
ISBN-100387979662
ISBN-139780387979663
eBay Product ID (ePID)251677
Product Key Features
Number of PagesX, 252 Pages
Publication NameIntroduction to Elliptic Curves and Modular Forms
LanguageEnglish
SubjectGeneral, Number Theory, Geometry / Algebraic
Publication Year1993
FeaturesRevised
TypeTextbook
Subject AreaMathematics
AuthorNeal Koblitz
SeriesGraduate Texts in Mathematics Ser.
FormatHardcover
Dimensions
Item Weight43 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN92-041778
Dewey Edition19
Series Volume Number97
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal516.3/5
Table Of Content1 From Congruent Numbers to Elliptic Curves.- II The Hasse--Weil L-Function of an Elliptic Curve.- III Modular forms.- IV Modular Forms of Half Integer Weight.- Answers, Hints, and References for Selected Exercises.
Edition DescriptionRevised edition
SynopsisThe second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer., This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses. thereby solidifying their under- standing of some basic tools used throughout mathematics. Graduate stu- dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under- graduates could use the book for independent study projects, senior theses, and seminar work., This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses. thereby solidifying their under standing of some basic tools used throughout mathematics. Graduate stu dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under graduates could use the book for independent study projects, senior theses, and seminar work.
LC Classification NumberQA241-247.5
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