Fractals in probability and analysis /
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| Author / Creator: | Bishop, Christopher J. |
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| Imprint: | Cambridge : Cambridge University Press, 2017. |
| Description: | ix, 402 pages : illustrations 24 cm |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 162. Cambridge studies in advanced mathematics ; 162. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10986105 |
| Summary: | This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic. |
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| Physical Description: | ix, 402 pages : illustrations 24 cm |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781107134119 1107134110 |