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Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension (Probability and Its Applications)
Boyarsky, Abraham, Gora, Pawel, Gora, P.
€ 132.11
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Description for Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension (Probability and Its Applications)
Hardcover. This work combines several important areas of mathematics - dynamical systems, measure theory and ergodic theory - and gives a thorough treatment of one-dimensional chaotic systems. It includes many examples and applications, and provides problem sets with solutions. Editor(s): Boyarsky, Abraham; Gora, Pawel. Series: Probability and Its Applications. Num Pages: 416 pages, biography. BIC Classification: PBT; PBWS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 763.
A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the ... Read more
A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the ... Read more
Product Details
Publisher
Birkhäuser
Format
Hardback
Publication date
1997
Series
Probability and its Applications
Condition
New
Weight
781g
Number of Pages
400
Place of Publication
Secaucus, United States
ISBN
9780817640033
SKU
V9780817640033
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension (Probability and Its Applications)
"Well written with ample examples and exercises… It fills an important gap in the literature." —Journal of the Indian Inst. of Science "The book provides a personal view on invariant measures and dynamical systems in one dimension. It is given a detailed study of the piecewise linear transformations under another spirit than that of {W. ... Read more