Lectures on Fractal Geometry and Dynamical Systems

Language: English

Published by American Mathematical Society, US, 2009

0821848895 / 9780821848890

  • Softcover
  • New
See all details

Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK

5-star seller

AbeBooks seller since June 11, 2025

View this seller's items
Softcover

Condition: New

£ 49.76

£ 65.00 shipping 
Ships from United Kingdom to U.S.A.

Quantity: 2 available

Add to basket

Item description from seller

Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. These two areas interact with each other and with the theory of chaos in a fundamental way: many dynamical systems (even some very simple ones) produce fractal sets, which are in turn a source of irregular 'chaotic' motions in the system. This book is an introduction to these two fields, with an emphasis on the relationship between them. The first half of the book introduces some of the key ideas in fractal geometry and dimension theory - Cantor sets, Hausdorff dimension, box dimension - using dynamical notions whenever possible, particularly one-dimensional Markov maps and symbolic dynamics. Various techniques for computing Hausdorff dimension are shown, leading to a discussion of Bernoulli and Markov measures and of the relationship between dimension, entropy, and Lyapunov exponents. In the second half of the book some examples of dynamical systems are considered and various phenomena of chaotic behaviour are discussed, including bifurcations, hyperbolicity, attractors, horseshoes, and intermittent and persistent chaos. These phenomena are naturally revealed in the course of our study of two real models from science - the FitzHugh - Nagumo model and the Lorenz system of differential equations. This book is accessible to undergraduate students and requires only standard knowledge in calculus, linear algebra, and differential equations. Elements of point set topology and measure theory are introduced as needed. This book is a result of the MASS course in analysis at Penn State University in the fall semester of 2008.

Seller Inventory # LU-9780821848890

Title
Lectures on Fractal Geometry and Dynamical Systems
Author
Yakov Pesin, Vaughn Climenhaga
Publisher
American Mathematical Society, US
Publication year
2009
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821848895
ISBN 13
9780821848890
Item weight
407 grams

Rarewaves.com UK

London, United Kingdom

5-star seller

AbeBooks seller since June 11, 2025

Shipping rates from United Kingdom to U.S.A.

Item60 to 60 business days60 to 60 business days
First item£ 65.00£ 100.00
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Payment methods

  • Visa
  • Mastercard
  • American Express
  • Apple Pay
  • Google Pay

Seller's business information

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, United Kingdom W1W 8BE