Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact email@example.com providing details of the course you are teaching.
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 MathématiqueSee more reviews
Review of the hardback: 'Of the two main approaches to convex sets, the analytic is comprehensively covered by this welcome book.' Mathematika
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- 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
1. Analytic preparations
2. Geometric preparations
3. Fourier series and spherical harmonics
4. Geometric applications of Fourier series
5. Geometric applications of spherical harmonics
List of symbols
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×