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 Thu 18 Dec 2025.

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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