The collaborative work of Tom Apostol and Mamikon Mnatsakanian has been lauded for its clarity and originality. In this volume the authors present an impressive collection of geometric results that reveal surprising connections between lengths, areas and volumes in various shapes, and allow one to c[...]

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[...]