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Geometric Integration Theory

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Cover of 'Geometric Integration Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Basics
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    Chapter 2 Carathéodory’s Construction and Lower-Dimensional Measures
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    Chapter 3 Invariant Measures and the Construction of Haar Measure.
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    Chapter 4 Covering Theorems and the Differentiation of Integrals
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    Chapter 5 Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities.
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    Chapter 6 The Calculus of Differential Forms and Stokes’s Theorem
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    Chapter 7 Introduction to Currents
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    Chapter 8 Currents and the Calculus of Variations
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    Chapter 9 Regularity of Mass-Minimizing Currents
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    Chapter 10 Appendix
Attention for Chapter 6: The Calculus of Differential Forms and Stokes’s Theorem
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Chapter title
The Calculus of Differential Forms and Stokes’s Theorem
Chapter number 6
Book title
Geometric Integration Theory
Published by
Birkhäuser Boston, January 2008
DOI 10.1007/978-0-8176-4679-0_6
Book ISBNs
978-0-8176-4676-9, 978-0-8176-4679-0
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