Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF This review is available free of charge.

Book Information:

Authors: Fred Diamond and Jerry Shurman

Title: A first course in modular forms

Additional book information: Graduate Texts in Mathematics, vol. 228, Springer-Verlag, New York, 2005, xvi + 436 pp., ISBN 0-387-23229-X, US$69.95$

**1.**

http://modular.fas.harvard.edu/antwerp_photo/

*Hecke operators on $\Gamma _{0}(m)$*, Math. Ann.

**185**(1970), 134–160. MR

**268123**, DOI 10.1007/BF01359701

*Some calculations of modular relations*, Modular functions of one variable, I (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) Lecture Notes in Mathematics, Vol. 320, Springer, Berlin, 1973, pp. 175–186. MR

**0332658**

*Modular forms and Fermat’s last theorem*, Springer-Verlag, New York, 1997. Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9–18, 1995. MR

**1638473**, DOI 10.1007/978-1-4612-1974-3

*Elliptic curves*, Mathematical Notes, vol. 40, Princeton University Press, Princeton, NJ, 1992. MR

**1193029**

*Introduction to the arithmetic theory of automorphic functions*, Kanô Memorial Lectures, No. 1, Iwanami Shoten Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Publications of the Mathematical Society of Japan, No. 11. MR

**0314766**

*The arithmetic of elliptic curves*, Graduate Texts in Mathematics, vol. 106, Springer-Verlag, New York, 1986. MR

**817210**, DOI 10.1007/978-1-4757-1920-8

*Advanced topics in the arithmetic of elliptic curves*, Graduate Texts in Mathematics, vol. 151, Springer-Verlag, New York, 1994. MR

**1312368**, DOI 10.1007/978-1-4612-0851-8

Review Information:

Reviewer: Frank Calegari

Affiliation: Harvard University

Email: fcale@math.harvard.edu

Journal: Bull. Amer. Math. Soc.

**43**(2006), 415-421

Published electronically: April 18, 2006

Review copyright: © Copyright 2006 American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.