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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    A Hardback by Dan Mangoubi, Dan Mangoubi, Iosif Polterovich

    £106.20

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

    Order before 4pm today for delivery by Thu 19 Nov 2026.

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      Book details

      Publisher American Mathematical Society
      Published 1/31/2024 12:01:00 AM
      ISBN-13 9781470475253
      978-1470475253
      ISBN-10 1470475251
      Also in:
      Differential calculus and equations Geometry

      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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