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1 Basics 1
2 Caratheodory's Construction and Lower-Dimensional Measures 53
3 Invariant Measures and the Construction of Haar Measure 77
4 Covering Theorems and the Differentiation of Integrals 91
5 Analytical Tools: The Area Formula, the Coarea Formula, and Poincare Inequalities 125
6 The Calculus of Differential Forms and Stokes's Theorem 159
7 Introduction to Currents 173
8 Currents and the Calculus of Variations 225
9 Regularity of Mass-Minimizing Currents 255
Appendix A.1 Transfinite Induction 311
Appendix A.2 Dual Spaces 313
Appendix A.3 Line Integrals 316
Appendix A.4 Pullbacks and Exterior Derivatives 319
References 323
Index of Notation 329
Index 335
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Daniel Nadon
reviewed Geometric Integration Theory on December 26, 2011
Geometric Integration Theory
Good Intro Resource for Real Analysis
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Add Geometric Integration Theory, This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can, Geometric Integration Theory to the inventory that you are selling on WonderClubX
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Add Geometric Integration Theory, This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can, Geometric Integration Theory to your collection on WonderClub |
