A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke's theory of entire forms with multiplicative Fourier coefficients, and the last chapter r...(展开全部)

Based on the authors' courses and lectures, this 2-volume advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque interval, Hilbert Space and more. Each section contains exercises. Lists of symbols, definitions and theorems. 1957 edition.