Introduction to Dynamical Systems

Informationen zum Autor Michael Brin is Professor Emeritus of Mathematics at the University of Maryland. He is the author of over thirty papers, three of which appeared in the Annals of Mathematics, and he has lectured at conferences and universities around the world. His main research areas are dynamical systems and Riemannian geometry. In 2008, he established the Michael Brin Prize in Dynamical Systems. Garrett Stuck is a former professor of mathematics at the University of Maryland and has held visiting positions at the Institut des Hautes Etudes Scientifiques in Paris and the Mathematical Sciences Research Institute in Berkeley. He has co-authored several textbooks, including The Mathematica Primer. Dr Stuck is also a founder of Chalkfree, Inc. He currently works in the finance industry. Klappentext A broad introduction, perfect for a one-year graduate course. Includes examples to motivate the theory and some remarkable applications. Zusammenfassung This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one! the authors use examples to motivate! clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory! data storage! and Internet search engines. Inhaltsverzeichnis 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.

Product details

• Authors: Michael Brin, Michael (University of Maryland Brin, Michael Stuck Brin, Brin Michael, Garrett Stuck, Garrett (University of Maryland Stuck, Stuck Garrett
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2015
• EAN: 9781107538948
• ISBN: 978-1-107-53894-8
• No. of pages: 256
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Linear & Nonlinear Programming, MATHEMATICS / Differential Equations / General, Nonlinear science, Differential calculus & equations, Differential calculus and equations