Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact firstname.lastname@example.org providing details of the course you are teaching.
This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or half-spaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes. Results arising from these analytical techniques have proved useful in many applications, particularly those related to stereology. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets.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
"The author's attention to detail and insistence on complete proofs make this book an excellent resource. In addition to the selected major results, each section closes with notes which provide the historical background and references to, and discussion of, other related results. This is indeed a comprehensive presentation of the subject matter with much to offer both the beginner and the expert." Paul Goodey, Mathematical ReviewsSee more reviews
"The author's attention to detail and insistence on complete proofs make this book an excellent resource. In addition to the selected major results, each section closes with notes which provide the historical background and references to, and discussion of other realted results. This is indeed a comprehensive presentation of the subject matter with much to offer both to the beginner and the expert." P.R. Goodey, Mathematical Reviews
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 email@example.comRegister 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.×