It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.[...]

Offers a classical treatment of elliptic and modular functions with some of their number-theoretic applications. This title also offers a bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers topics such as Hecke's theory of entire forms wit[...]

Volume I presents one-variable calculus with an introduction to linear algebra and volume II presents multi-variable calculus and linear algebra, with applications to differential equations and probability[...]

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most e[...]