Multivariable Calculus and Differential Geometry

Gerard Walschap

2015年7月 · Walter de Gruyter GmbH & Co KG

关于此电子书

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics.

The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

作者简介

Gerard Walschap, University of Oklahoma, Norman, OK, USA.