Calculus on Manifolds

Author: Shen Enwei
Publisher:
Publish Date: 2004-09-01
Features: This book primarily introduces the fundamental theories of differential manifolds, tensor algebra, and integral theory on manifolds. The content includes: metric spaces, topological spaces, differentiable mappings on Euclidean spaces, differential manifolds, tensors, exterior differential forms, and integrals on manifolds, among others. The book is comprehensive in its coverage, rigorous in logical reasoning, concise in presentation, and easy to read. It is suitable for senior undergraduate students, master's degree students, and doctoral students in mathematics. It can also serve as a reference for teachers and scientists in related fields.