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Introduction to Smooth Manifolds
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Smooth Manifolds
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Chapter 2
Smooth Maps
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Chapter 3
Tangent Vectors
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Chapter 4
Submersions, Immersions, and Embeddings
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Chapter 5
Submanifolds
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Chapter 6
Sard’s Theorem
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Chapter 7
Lie Groups
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Chapter 8
Vector Fields
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Chapter 9
Integral Curves and Flows
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Chapter 10
Vector Bundles
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Chapter 11
The Cotangent Bundle
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Chapter 12
Tensors
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Chapter 13
Riemannian Metrics
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Chapter 14
Differential Forms
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Chapter 15
Orientations
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Chapter 16
Integration on Manifolds
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Chapter 17
De Rham Cohomology
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Chapter 18
The de Rham Theorem
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Chapter 19
Distributions and Foliations
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Chapter 20
The Exponential Map
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Chapter 21
Quotient Manifolds
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Chapter 22
Symplectic Manifolds
Overall attention for this book and its chapters
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Mentioned by
blogs
1
blog
twitter
53
X users
syllabi
9
institutions with syllabi
wikipedia
23
Wikipedia pages
q&a
3
Q&A threads
Readers on
mendeley
22
Mendeley
Book overview
1. Smooth Manifolds
2. Smooth Maps
3. Tangent Vectors
4. Submersions, Immersions, and Embeddings
5. Submanifolds
6. Sard’s Theorem
7. Lie Groups
8. Vector Fields
9. Integral Curves and Flows
10. Vector Bundles
11. The Cotangent Bundle
12. Tensors
13. Riemannian Metrics
14. Differential Forms
15. Orientations
16. Integration on Manifolds
17. De Rham Cohomology
18. The de Rham Theorem
19. Distributions and Foliations
20. The Exponential Map
21. Quotient Manifolds
22. Symplectic Manifolds
Summary
Blogs
X
Syllabi
Wikipedia
Q&A
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
24
syllabi from
9
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
Washington University in St Louis
6
Unknown
University of Washington-Seattle Campus
5
Unknown
University of California-Santa Cruz
3
Unknown
University of Oxford
2
Unknown
Eastern Illinois University
2
Unknown
University of Georgia
1
Unknown
University of Southern California
1
Unknown
Louisiana State University and Agricultural & Mechanical College
1
Unknown
Unknown
3
Media, Communications, Journalism, Chemistry, English, Architecture, Religious Studies