Fractals in probability and analysis Bishop, Christopher J.

By:

Bishop, Christopher J

Contributor(s):

Peres, Yuval [Co-author]

Publication details: Cambridge University Press 2017 New YorkDescription: ix, 402 pISBN:

9781107134119

Subject(s):

DDC classification:

514.742 B4F7

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. • Introduces specialized topics not commonly found in graduate texts, often with simplified proofs • Stresses methods of proof so that readers can apply them to their own research • Presents a broad range of techniques in the simplest cases to highlight fundamental ideas without the excessive technicalities http://www.cambridge.org/catalogue/catalogue.asp?isbn=9781107134119

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	Non-fiction	514.742 B4F7 (Browse shelf(Opens below))	Available		194914

Total holds: 0

Browsing Ahmedabad shelves, Collection: Non-fiction Close shelf browser (Hides shelf browser)

Previous
Previous	514.72 G8D4 Differential topology	514.72 M8D4 Differential topology	514.72 W2D4 Differential topology	514.742 B4F7 Fractals in probability and analysis	515 A2U6 Understanding analysis	515 A5H6 How to think about analysis

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.

• Introduces specialized topics not commonly found in graduate texts, often with simplified proofs • Stresses methods of proof so that readers can apply them to their own research • Presents a broad range of techniques in the simplest cases to highlight fundamental ideas without the excessive technicalities

http://www.cambridge.org/catalogue/catalogue.asp?isbn=9781107134119

There are no comments on this title.

to post a comment.