Description

Book Synopsis
A book for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites.

Table of Contents
  • Strings, drums, and the Laplacian
  • The spectral theorems
  • Variational principles and applications
  • Nodal geometry of eigenfunctions
  • Eigenvalue inequalities
  • Heat equation, spectral invariants, and isospectrality
  • The Steklov problem and the Dirichlet-to-Neumann map
  • A short tutorial on numerical spectral geometry
  • Background definitions and notation
  • Image credits
  • Bibliography
  • Index

Topics in Spectral Geometry

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    £106.20

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    RRP £118.00 – you save £11.80 (10%)

    Order before 4pm tomorrow for delivery by Mon 3 Aug 2026.

    A Hardback by Dan Mangoubi, Dan Mangoubi, Iosif Polterovich

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 1/31/2024 12:01:00 AM
      ISBN13: 9781470475253, 978-1470475253
      ISBN10: 1470475251

      Description

      Book Synopsis
      A book for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites.

      Table of Contents
      • Strings, drums, and the Laplacian
      • The spectral theorems
      • Variational principles and applications
      • Nodal geometry of eigenfunctions
      • Eigenvalue inequalities
      • Heat equation, spectral invariants, and isospectrality
      • The Steklov problem and the Dirichlet-to-Neumann map
      • A short tutorial on numerical spectral geometry
      • Background definitions and notation
      • Image credits
      • Bibliography
      • Index

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