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Topics in Spectral Geometry
About this Title
Michael Levitin, University of Reading, Reading, United Kingdom, Dan Mangoubi, The Hebrew University, Jerusalem, Israel and Iosif Polterovich, Université de Montréal, Montréal, QC, Canada
Publication: Graduate Studies in Mathematics
Publication Year:
2023; Volume 237
ISBNs: 978-1-4704-7525-3 (print); 978-1-4704-7549-9 (online)
DOI: https://doi.org/10.1090/gsm/237
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 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
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