Description

Book Synopsis
Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems.

Table of Contents
Answers to exercises Index Manifolds Differential forms de Rham theorem Laplacian and harmonic forms Vector bundles and characteristic classes Fiber bundles and characteristic classes Perspectives Solutions References Index.

Geometry of Differential Forms

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/08/2001
      ISBN13: 9780821810453, 978-0821810453
      ISBN10: 0821810456

      Description

      Book Synopsis
      Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems.

      Table of Contents
      Answers to exercises Index Manifolds Differential forms de Rham theorem Laplacian and harmonic forms Vector bundles and characteristic classes Fiber bundles and characteristic classes Perspectives Solutions References Index.

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