عنوان
پدید آورنده
موضوع
رده
QA243 .D47 2005
QA243
.
D47
2005
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
038723229X
(Number (ISBN
0387272267
(Number (ISBN
1441920056
(Number (ISBN
9780387232294
(Number (ISBN
9780387272269
(Number (ISBN
9781441920058
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A first course in modular forms /
General Material Designation
[Book]
First Statement of Responsibility
Fred Diamond, Jerry Shurman
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 436 pages :
Other Physical Details
illustrations ;
Dimensions
25 cm
SERIES
Series Title
Graduate texts in mathematics ;
Volume Designation
228
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 433-436) and index
CONTENTS NOTE
Text of Note
Modular forms, elliptic curves, and modular curves -- Modular curves as Riemann surfaces -- Dimension formulas -- Eisenstein series -- Hecke operators -- Jacobians and Abelian varieties -- Modular curves as algebraic curves -- The Eichler-Shimura relation and L-functions -- Galois representations
0
SUMMARY OR ABSTRACT
Text of Note
"This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included."--Publisher's website
TOPICAL NAME USED AS SUBJECT
Forms, Modular.
Funções e formas modulares
Modulaire functies
Teoria dos números
(SUBJECT CATEGORY (Provisional
QA
DEWEY DECIMAL CLASSIFICATION
Number
512
.
7/3
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA243
Book number
.
D47
2005
PERSONAL NAME - PRIMARY RESPONSIBILITY
Diamond, Fred.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Shurman, Jerry Michael.
ORIGINATING SOURCE
Date of Transaction
20180316113510.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
