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GARDNERS Topics in Spectral Geometry - Mathematics Book

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Description

Explore the connection between geometry and the Laplacian in Topics in Spectral Geometry. This volume from the Graduate Studies in Mathematics series examines how spectral data, including eigenvalues and eigenfunctions, relate to the underlying geometry of Euclidean domains and Riemannian manifolds. By studying the Laplacian, readers can understand how various physical phenomena like heat diffusion, wave propagation, electron movement in quantum mechanics, and fluid oscillations are described. This text focuses on the relationship between the spectrum and the geometric objects on which the operator is defined, making it a specialized resource for mathematical analysis and differential equations.

Key Features

Topics in Spectral Geometry is part of the Graduate Studies in Mathematics series by the American Mathematical Society.

This book covers the Laplacian operator and its application to physical phenomena like wave propagation and heat diffusion.

The text examines how spectral data such as eigenvalues and eigenfunctions relate to Euclidean domains and Riemannian manifolds.

Designed for study in mathematical analysis and differential equations, this volume explores the relationship between geometry and the spectrum.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 December 2023
Listed Since
09 February 2024

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