Introduction to Modern Analysis and Its Applications

Author: Gu Zhi Ming
Publisher:
Publish Date: 2004-01-01
Features: This book introduces calculus on manifolds and its applications in a relatively concise manner. The first three chapters cover prerequisite knowledge, while chapters 4 to 9 introduce fundamental concepts and theories such as differentiable manifolds, vector fields on manifolds, differential forms and integration, de Rham cohomology, mapping degree, and singularity, along with several typical applications. Chapter 10 provides a comprehensive application of the entire book's content.