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      Book

      Differential Geometry and Topology
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      Book

      Differential Geometry and Topology

      DOI link for Differential Geometry and Topology

      Differential Geometry and Topology book

      With a View to Dynamical Systems

      Differential Geometry and Topology

      DOI link for Differential Geometry and Topology

      Differential Geometry and Topology book

      With a View to Dynamical Systems
      ByKeith Burns, Marian Gidea
      Edition 1st Edition
      First Published 2005
      eBook Published 27 May 2005
      Pub. Location New York
      Imprint Chapman and Hall/CRC
      DOI https://doi.org/10.1201/9781420057539
      Pages 400
      eBook ISBN 9780429124006
      Subjects Mathematics & Statistics
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      Burns, K., & Gidea, M. (2005). Differential Geometry and Topology: With a View to Dynamical Systems (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9781420057539

      ABSTRACT

      Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow.

      Smooth manifolds, Riemannian metrics

      TABLE OF CONTENTS

      chapter 1|70 pages

      Manifolds

      chapter 2|38 pages

      Vector Fields and Dynamical Systems

      chapter 3|18 pages

      Riemannian Metrics

      chapter 4|44 pages

      Riemannian Connections and Geodesics

      chapter 5|54 pages

      Curvature

      chapter 6|54 pages

      Tensors and Differential Forms

      chapter 7|48 pages

      Fixed Points and Intersection Numbers

      chapter 8|30 pages

      Morse Theory

      chapter 9|22 pages

      Hyperbolic Systems

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