A First Course in Dynamics: with a Panorama of Recent Developments

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Boris Hasselblatt (Professor, Tufts University, Massachusetts) Anatole Katok (Pennsylvania State University)

A First Course in Dynamics

with a Panorama of Recent Developments

Boris Hasselblatt (Professor, Tufts University, Massachusetts), Anatole Katok (Pennsylvania State University)

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English

Cambridge University Pres
04 September 2003

Mathematics & Sciences; Non-linear science

The 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.

By: Boris Hasselblatt (Professor Tufts University Massachusetts), Anatole Katok (Pennsylvania State University)
Imprint: Cambridge University Pres
Country of Publication: United Kingdom
Dimensions: Height: 251mm, Width: 177mm, Spine: 20mm
Weight: 758g
ISBN: 9780521587501
ISBN 10: 0521587506
Pages: 436
Publication Date: 04 September 2003
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for A First Course in Dynamics: with a Panorama of Recent Developments

'... an excellent presentation of the modern theory of dynamical systems at the advanced undergraduate to intermediate graduate level written by two renowned experts in the field.' Zentralblatt fur Mathematik 'The book is written in a precise and very readable style, there are many useful remarks and figures throughout. It can be highly recommended to anybody who is interested in dynamical systems and who has a basic knowledge of calculus. The book is also an excellent introduction to the more advanced monograph written by the same authors.' European Mathematical Society Newsletter 'I would recommend that all senior undergraduate physics and engineering students should familiarize themselves with its contents ... it is a recommendation for a mathematical perspective on dynamics from an engineer for engineers - and from my discussions with practical physicists a similar recommendation from them.' Contemporary Physics