Call Boomerang Books 1300 36 33 32

Description - Differential Equations on Fractals by Robert S. Strichartz

Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Strichartz takes the reader to the frontiers of research, starting with carefully motivated examples and constructions. One of the great accomplishments of geometric analysis in the nineteenth and twentieth centuries was the development of the theory of Laplacians on smooth manifolds. But what happens when the underlying space is rough? Fractals provide models of rough spaces that nevertheless have a strong structure, specifically self-similarity. Exploiting this structure, researchers in probability theory in the 1980s were able to prove the existence of Brownian motion, and therefore of a Laplacian, on certain fractals. An explicit analytic construction was provided in 1989 by Jun Kigami. Differential Equations on Fractals explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered. This book can be used as a self-study guide for students interested in fractal analysis, or as a textbook for a special topics course.

Buy Differential Equations on Fractals by Robert S. Strichartz from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780691127316
ISBN-10: 069112731X
Format: Paperback
(235mm x 152mm x 14mm)
Pages: 192
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 31-Jul-2006
Country of Publication: United States

Other Editions - Differential Equations on Fractals by Robert S. Strichartz

Book Reviews - Differential Equations on Fractals by Robert S. Strichartz

» Have you read this book? We'd like to know what you think about it - write a review about Differential Equations on Fractals book by Robert S. Strichartz and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review


Author Biography - Robert S. Strichartz

Robert S. Strichartz is Professor of Mathematics at Cornell University. He is the author of "The Way of Analysis" and "A Guide to Distribution Theory and Fourier Transforms".