ISBN: 9780521057110

[ED: Taschenbuch], [PU: Cambridge University Press], This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as he… More...

[ED: Taschenbuch], [PU: Cambridge University Press], This book covers analysis on fractals, a developing area of mathematics which 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. Table of contents: Introduction 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 Bibliography List of notations Index. 12 line diagr. Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

ISBN: 9780521057110

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 materi… More...

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. New Textbooks>Trade Paperback>Science>Statistics & Probability>Statistics & Probability, Cambridge University Press Core >1 >T<

ISBN: 9780521057110

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 materi… More...

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. Books > Science and Nature > Mathematics > Mathematical Analysis List_Books, [PU: Cambridge University Press]<

2008, ISBN: 9780521057110

Cambridge University Press, Taschenbuch, Auflage: Reissue, 236 Seiten, Publiziert: 2008-08-21T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 12 b/w illus. 0.77 kg, Medizin, Kategorien, B… More...

Cambridge University Press, Taschenbuch, Auflage: Reissue, 236 Seiten, Publiziert: 2008-08-21T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 12 b/w illus. 0.77 kg, Medizin, Kategorien, Bücher, Geometrie, Naturwissenschaft & Mathematik, Fachbücher, Statistik, Naturwissenschaften & Technik, Cambridge University Press, 2008<

2007, ISBN: 0521057116

Kartoniert / Broschiert MEDICAL / General, mit Schutzumschlag neu, [PU:Cambridge University Press]