Description

Book Synopsis
Presents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology.

Table of Contents
Elements of multilinear algebra Differential forms in ${\mathbb{R}}^n$ Vector analysis on manifolds Pfaffian systems Curves and surfaces in Euclidean 3-space Lie groups and homogeneous spaces Symplectic geometry and mechanics Elements of statistical mechanics and thermodynamics Elements of electrodynamics Bibliography Symbols Index.

Global Analysis

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    A Hardback by Ilka Agricola, Thomas Friedrich

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      Book details

      Publisher American Mathematical Society
      Published 11/30/2002 12:00:00 AM
      ISBN-13 9780821829516
      978-0821829516
      ISBN-10 0821829513
      Also in:
      Mathematics Applied mathematics Differential and Riemannian geometry

      Description

      Book Synopsis
      Presents an introduction to differential geometry through differential forms, emphasizing their applications in various areas of mathematics and physics. This work focuses on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology.

      Table of Contents
      Elements of multilinear algebra Differential forms in ${\mathbb{R}}^n$ Vector analysis on manifolds Pfaffian systems Curves and surfaces in Euclidean 3-space Lie groups and homogeneous spaces Symplectic geometry and mechanics Elements of statistical mechanics and thermodynamics Elements of electrodynamics Bibliography Symbols Index.

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