Modular Forms, a Computational Approach

Stein (mathematics, U. of Washington) fills the gap in the literature on classical modular forms with this unique approach that centers on computation throughout, defining what modular forms are and showing in detail how one can compute everything about them in practice. He uses examples from his own free software package, making this a suitable text for beyond the introductory level. Stein appeals to graduates, advanced undergraduates and non-specialists in number theory as be describes the modular forms of weights and levels, Dirichlet characters, Eisenstein series and Bernoulli numbers, dimensions formulas, linear algebra, general modular symbols, computing with newforms, and computing periods. He includes solutions to selected exercises. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)