Manifolds, Vector Fields, and Differential Forms : An Introduction to Differential Geometry /

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate l...

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Bibliographic Details
Main Authors:	Gross, Gal (Author), Meinrenken, Eckhard (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2023.
Edition:	1st ed. 2023.
Series:	Springer Undergraduate Mathematics Series,
Subjects:	Manifolds (Mathematics). Geometry, Differential. Manifolds and Cell Complexes. Differential Geometry. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Introduction
2. Manifolds
3. Smooth maps
4. Submanifolds
5. Tangent spaces
6. Vector fields
7. Differential forms
8. Integration
9. Vector bundles
Notions from set theory
Notions from algebra
Topological properties of manifolds
Hints and answers to in-text questions
References
List of Symbols
Index.