Differential Forms and Applications.
- 1st ed.
- 1 online resource (124 pages)
- Universitext Series .
- Universitext Series .
Universitext -- Differential Forms and Applications -- Copyright -- Preface -- Table of Contents -- 1. Differential Forms in Rn -- 2. Line Integrals* -- 3. Differentiable Manifolds -- 4. Integration on Manifolds -- Stokes Theorem and Poincaré's Lemma -- 5. Differential Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- References -- Index.