{"product_id":"differential-equations-on-fractals-a-tutorial-paperback","title":"Differential Equations on Fractals: A Tutorial - Paperback","description":"\u003cp\u003eby \u003cb\u003eRobert S. Strichartz\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eDifferential Equations on Fractals\u003c\/i\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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. \u003ci\u003eDifferential Equations on Fractals\u003c\/i\u003e explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered. \u003cp\u003e\u003c\/p\u003e 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.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eRobert S. Strichartz\u003c\/b\u003e is Professor of Mathematics at Cornell University. He is the author of \u003ci\u003eThe Way of Analysis\u003c\/i\u003e and \u003ci\u003eA Guide to Distribution Theory and Fourier Transforms\u003c\/i\u003e.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 192\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 9.2 x 6.06 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 20, 2006\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42723357098047,"sku":"9780691127316","price":184.68,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/85dde823bb664a601a4a63267d1adefa.webp?v=1765098889","url":"https:\/\/dhlswag.com\/products\/differential-equations-on-fractals-a-tutorial-paperback","provider":"BBB","version":"1.0","type":"link"}