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Geometric Integration Theory

Overview of attention for book
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 2: Carathéodory’s Construction and Lower-Dimensional Measures
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