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/
A. O. L. Atkin and J. Lehner, Hecke operators on $\Gamma _{0}(m)$, Math. Ann. 185 (1970), 134–160. MR 268123, DOI 10.1007/BF01359701
B. J. Birch, 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
Gary Cornell, Joseph H. Silverman, and Glenn Stevens (eds.), 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
Anthony W. Knapp, Elliptic curves, Mathematical Notes, vol. 40, Princeton University Press, Princeton, NJ, 1992. MR 1193029
Goro Shimura, 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
Joseph H. Silverman, 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
Joseph H. Silverman, 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
- 1.
-
http://modular.fas.harvard.edu/antwerp_photo/
- 2.
- A.O.L. Atkin and J. Lehner, Hecke operators on , Math. Ann. 185 1970 134-160. MR 0268123
- 3.
- B. Birch Some calculations of modular relations, Modular functions of one variable, I (Proc. Internat. Summer School, Univ. Antwerp, 1972), pp. 175-186. Lecture Notes in Mathematics, Vol. 320, Springer, Berlin, 1973. MR 0332658
- 4.
- Modular forms and Fermat's last theorem. Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9-18, 1995. Edited by Gary Cornell, Joseph H. Silverman and Glenn Stevens. Springer-Verlag, New York, 1997. MR 1638473
- 5.
- A. Knapp, Elliptic curves, Mathematical Notes, 40. Princeton University Press, Princeton, NJ, 1992. MR 1193029
- 6.
- G. Shimura, Introduction to the arithmetic theory of automorphic functions, Kanã Memorial Lectures, No. 1. Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, NJ, 1971. MR 0314766
- 7.
- J. Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. MR 0817210
- 8.
- J. Silverman, Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Mathematics, 151. Springer-Verlag, New York, 1994. MR 1312368
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.