Description

Book Synopsis
The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research.

Table of Contents
  • A primer of persistence modules: Definition and first examples
  • Barcodes
  • Proof of the isometry theorem
  • What can we read from a barcode?
  • Applications to metric geometry and function theory: Applications of Rips complexes
  • Topological function theory
  • Persistent homology in symplectic geometry: A concise introduction to symplectic geometry
  • Hamiltonian persistence modules
  • Symplectic persistence modules
  • Bibliography
  • Notation index
  • Subject index
  • Name index.

    Topological Persistence in Geometry and Analysis

    Product form

    £43.16

    Includes FREE delivery

    RRP £47.95 – you save £4.79 (9%)

    Order before 4pm tomorrow for delivery by Tue 23 Dec 2025.

    A Paperback by Leonid Polterovich, Daniel Rosen, Karina Samvelyan

    1 in stock


      View other formats and editions of Topological Persistence in Geometry and Analysis by Leonid Polterovich

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2020 12:00:00 AM
      ISBN13: 9781470454951, 978-1470454951
      ISBN10: 1470454955
      Also in:
      Applied mathematics Topology

      Description

      Book Synopsis
      The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research.

      Table of Contents
      • A primer of persistence modules: Definition and first examples
      • Barcodes
      • Proof of the isometry theorem
      • What can we read from a barcode?
      • Applications to metric geometry and function theory: Applications of Rips complexes
      • Topological function theory
      • Persistent homology in symplectic geometry: A concise introduction to symplectic geometry
      • Hamiltonian persistence modules
      • Symplectic persistence modules
      • Bibliography
      • Notation index
      • Subject index
      • Name index.

        Recently viewed products

        © 2025 Book Curl

          • American Express
          • Apple Pay
          • Diners Club
          • Discover
          • Google Pay
          • Maestro
          • Mastercard
          • PayPal
          • Shop Pay
          • Union Pay
          • Visa

          Login

          Forgot your password?

          Don't have an account yet?
          Create account