TY - BOOK AU - Brin,Michael AU - Stuck,Garrett TI - Introduction to dynamical systems SN - 9781107538948 AV - QA614.8 .B75 2015 U1 - 515.39 23 PY - 2002/// CY - UK PB - Cambridge University Press KW - Differentiable dynamical systems N1 - Product Details ISBN-13: 9781107538948 Publisher: Cambridge University Press Publication date: 11/05/2015 Edition description: New Edition Pages: 256 Product dimensions: 5.98(w) x 8.98(h) x 0.63(d) Table of Contents Introduction; 1. Examples and basic concepts; 2. Topological dynamics; 3. Symbolic dynamics; 4. Ergodic theory; 5. Hyperbolic dynamics; 6. Ergodicity of Anosov diffeomorphisms; 7. Low-dimensional dynamics; 8. Complex dynamics; 9. Measure-theoretic entropy; Bibliography; Index N2 - This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory, data storage, and internet search engines UR - https://www.loc.gov/catdir/enhancements/fy1614/2015458998-b.html UR - https://www.loc.gov/catdir/enhancements/fy1614/2015458998-d.html UR - https://www.loc.gov/catdir/enhancements/fy1614/2015458998-t.html ER -