Geometric Applications of Fourier Series and Spherical Harmonics
£54.99
Part of Encyclopedia of Mathematics and its Applications
- Author: Helmut Groemer, University of Arizona
- Date Published: September 2009
- availability: Available
- format: Paperback
- isbn: 9780521119658
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This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
Read more- Offers a detailed and self-contained presentation of the theory of spherical harmonics
- Important supplement to books by Schneider and Gardner in the same series
Reviews & endorsements
Review of the hardback: '… these geometric results appear here in book form for the first time … developed as concretely as possible, with full proofs.' L'Enseignement Mathématique
See more reviewsReview of the hardback: 'Of the two main approaches to convex sets, the analytic is comprehensively covered by this welcome book.' Mathematika
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×Product details
- Date Published: September 2009
- format: Paperback
- isbn: 9780521119658
- length: 344 pages
- dimensions: 234 x 156 x 18 mm
- weight: 0.48kg
- availability: Available
Table of Contents
Preface
1. Analytic preparations
2. Geometric preparations
3. Fourier series and spherical harmonics
4. Geometric applications of Fourier series
5. Geometric applications of spherical harmonics
References
List of symbols
Author index
Subject index.
Related Books
related journals
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