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Geometric and Computational Spectral Theory

Edited by: Alexandre Girouard Université Laval, Québec, Canada
Dmitry Jakobson McGill University, Montréal, Québec, Canada
Nilima Nigam Simon Frasier University, Burnaby, British Columbia, Canada
Iosif Polterovich Université de Montréal, Montréal, Québec, Canada
Frédéric Rochon Université du Québec à Montréal, Montréal, Québec, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Softcover ISBN: 978-1-4704-2665-1
Product Code: CONM/700
List Price: $111.00 MAA Member Price:$99.90
AMS Member Price: $88.80 Electronic ISBN: 978-1-4704-4258-3 Product Code: CONM/700.E List Price:$111.00
MAA Member Price: $99.90 AMS Member Price:$88.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $166.50 MAA Member Price:$149.85
AMS Member Price: $133.20 Click above image for expanded view Geometric and Computational Spectral Theory Edited by: Alexandre Girouard Université Laval, Québec, Canada Dmitry Jakobson McGill University, Montréal, Québec, Canada Michael Levitin University of Reading, Reading, United Kingdom Nilima Nigam Simon Frasier University, Burnaby, British Columbia, Canada Iosif Polterovich Université de Montréal, Montréal, Québec, Canada Frédéric Rochon Université du Québec à Montréal, Montréal, Québec, Canada A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Softcover ISBN: 978-1-4704-2665-1 Product Code: CONM/700  List Price:$111.00 MAA Member Price: $99.90 AMS Member Price:$88.80
 Electronic ISBN: 978-1-4704-4258-3 Product Code: CONM/700.E
 List Price: $111.00 MAA Member Price:$99.90 AMS Member Price: $88.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$166.50 MAA Member Price: $149.85 AMS Member Price:$133.20
• Book Details

Contemporary Mathematics
Volume: 7002017; 284 pp
MSC: Primary 58; 35; 65;

The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada.

The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.

Graduate students and research mathematicians interested in spectral theory and numerical methods.

• Articles
• Bruno Colbois - The spectrum of the Laplacian: A geometric approach
• Gregory Berkolaiko - An elementary introduction to quantum graphs
• Dorin Bucur and Pedro Freitas - A free boundary approach to the Faber-Krahn inequality
• Pierre Bérard and Bernard Helffer - Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$
• Jessica Bosch and Chen Greif - Numerical solution of linear eigenvalue problems
• Guido Kanschat - Finite element methods for variational eigenvalue problems
• Alexander Strohmaier - Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
• Daniel Grieser - Scales, blow-up and quasimode constructions
• Colin Guillarmou - Scattering for the geodesic flow on surfaces with boundary

• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 7002017; 284 pp
MSC: Primary 58; 35; 65;

The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada.

The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.

Graduate students and research mathematicians interested in spectral theory and numerical methods.

• Articles
• Bruno Colbois - The spectrum of the Laplacian: A geometric approach
• Gregory Berkolaiko - An elementary introduction to quantum graphs
• Dorin Bucur and Pedro Freitas - A free boundary approach to the Faber-Krahn inequality
• Pierre Bérard and Bernard Helffer - Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb {R}^2$
• Jessica Bosch and Chen Greif - Numerical solution of linear eigenvalue problems
• Guido Kanschat - Finite element methods for variational eigenvalue problems
• Alexander Strohmaier - Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces
• Daniel Grieser - Scales, blow-up and quasimode constructions
• Colin Guillarmou - Scattering for the geodesic flow on surfaces with boundary
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.