Description

Book Synopsis
Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.

Table of Contents
Preface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.

Manifolds Tensors and Forms

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    Order before 4pm today for delivery by Sat 27 Jun 2026.

    A Hardback by Paul Renteln

    15 in stock


      View other formats and editions of Manifolds Tensors and Forms by Paul Renteln

      Publisher: Cambridge University Press
      Publication Date: 11/21/2013 12:00:00 AM
      ISBN13: 9781107042193, 978-1107042193
      ISBN10: 1107042194
      Also in:
      Mathematics and Science Topology Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.

      Table of Contents
      Preface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.

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