A First Course in Dynamics
with a Panorama of Recent Developments
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First Course in Dynamics by Boris Hasselblatt
Book DescriptionThe theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course. The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
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Book DetailsISBN: 9780521587501
(253mm x 177mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 23-Jun-2003
Country of Publication: United Kingdom
Books By Author Boris Hasselblatt
Dynamics, Ergodic Theory and Geometry, Paperback (March 2011)
Surveys, research articles, and commented problems based on a 2004 MRSI research workshop in symplectic geometry, ergodicity, hyperbolic dynamics, and other areas.
Modern Dynamical Systems and Applications, Hardback (August 2004)
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Handbook of Dynamical Systems, Hardback (August 2002)
Gives a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. This work serves as a useful resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics.
Introduction to the Modern Theory of Dynamical Systems, Paperback (December 1996)» View all books by Boris Hasselblatt
A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.
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