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Global Analysis: Differential Forms in Analysis, Geometry and Physics

About this Title

Ilka Agricola, Humboldt University, Berlin, Germany and Thomas Friedrich, Humboldt University, Berlin, Germany. Translated by Dr. Andreas Nestke

Publication: Graduate Studies in Mathematics
Publication Year: 2002; Volume 52
ISBNs: 978-0-8218-2951-6 (print); 978-1-4704-2101-4 (online)
DOI: https://doi.org/10.1090/gsm/052
MathSciNet review: MR1998826
MSC: Primary 58-01; Secondary 53-01, 53D05, 58A10, 78-01, 82-01

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Elements of multilinear algebra
• Chapter 2. Differential forms in $\mathbb {R}^n$
• Chapter 3. Vector analysis on manifolds
• Chapter 4. Pfaffian systems
• Chapter 5. Curves and surfaces in Euclidean 3-space
• Chapter 6. Lie groups and homogeneous spaces
• Chapter 7. Symplectic geometry and mechanics
• Chapter 8. Elements of statistical mechanics and thermodynamics
• Chapter 9. Elements of electrodynamics