Smooth Manifolds

This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanic...

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Bibliographic Details
Main Author: Gorodski, Claudio
Format: eBook
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Compact Textbooks in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Smooth manifolds
  • Tensor fields and differential forms
  • Lie groups
  • Integration
  • Appendix A: Covering manifolds
  • Appendix B: Hodge Theory
  • Bibliography
  • Index