This book sets forth the basic principles of tensors and manifolds and describes how the mathematics underlies elegant geometrical models of classical mechanics

Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

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

This book is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics at Michigan State University. The cours