Vector Analysis [Softcover reprint of hardcover 1st ed. 2001] 1441931449, 978-1-4419-3144-3, 978-1-4757-3478-2

This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory

452 88 3MB

English Pages 284 [289] Year 2001

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Vector Analysis [Softcover reprint of hardcover 1st ed. 2001]
1441931449, 978-1-4419-3144-3, 978-1-4757-3478-2

Author / Uploaded
Klaus Jänich
L. Kay

Table of contents :
Front Matter....Pages i-xiv
Differentiable Manifolds....Pages 1-24
The Tangent Space....Pages 25-48
Differential Forms....Pages 49-64
The Concept of Orientation....Pages 65-78
Integration on Manifolds....Pages 79-100
Manifolds-with-Boundary....Pages 101-115
The Intuitive Meaning of Stokes’s Theorem....Pages 117-131
The Wedge Product and the Definition of the Cartan Derivative....Pages 133-149
Stokes’s Theorem....Pages 151-165
Classical Vector Analysis....Pages 167-193
De Rham Cohomology....Pages 195-213
Differential Forms on Riemannian Manifolds....Pages 215-237
Calculations in Coordinates....Pages 239-268
Answers to the Test Questions....Pages 269-271
Back Matter....Pages 273-283

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