Erschienen: 20.08.2006 Abbildung von Strichartz | Differential Equations on Fractals | 2006

Strichartz

Differential Equations on Fractals

A Tutorial

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

ca. 45,09 €

inkl. Mwst.

auch verfügbar als eBook (PDF) für 73.99 €

2006. Buch. 192 S. Softcover

Princeton University Press. ISBN 978-0-691-12731-6

Format (B x L): 15,2 x 22,9 cm

Gewicht: 312 g

In englischer Sprache

Produktbeschreibung

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.

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

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