Looking for an examination copy?
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 book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.Read more
- This is the first book on a new area of mathematics, analysis on fractals
- No special knowledge of fractals required
- Self contained: covers basic background material as well as recent research
Reviews & endorsements
'… the most recent introduction to the analysis of 'Laplacians' on what physicists call finitely ramified self-similar fractals.' Volker Metz, Zentralblatt MATHSee more reviews
'Anyone with a background in the analysis of linear field equations, with an interest in heterogeneous media, or who is looking to breathe new life into their research, should read this book.' A. J. Mulholland, Proceedings of the Edinburgh Mathematical Society
'This book is an introduction to the subject written by one of the active researchers in the area. It is recommended to those who would like to go from the basics to current research topics.' Acta. Sci. Math.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: March 2008
- format: Paperback
- isbn: 9780521057110
- length: 236 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.35kg
- contains: 12 b/w illus.
- availability: Available
Table of Contents
1. Geometry of self-similar sets
2. Analysis on limits of networks
3. Construction of Laplacians on P. C. F. self-similar structures
4. Eigenvalues and eigenfunctions of Laplacians
5. Heat kernels
Appendix A: Additional fact
Appendix B: Mathematical backgrounds
List of notations
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 ×