This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differentia

An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiab

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University