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First Course in Dynamics : With a Panorama of Recent Developments
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A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Item specifics
- Condition
- ISBN
- 9780521587501
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521587506
ISBN-13
9780521587501
eBay Product ID (ePID)
1887089
Product Key Features
Number of Pages
436 Pages
Publication Name
First Course in Dynamics : with a Panorama of Recent Developments
Language
English
Subject
Mechanics / Dynamics, General
Publication Year
2003
Type
Textbook
Subject Area
Mathematics, Science
Format
Trade Paperback
Dimensions
Item Height
0.8 in
Item Weight
26.8 Oz
Item Length
9.9 in
Item Width
7 in
Additional Product Features
Intended Audience
College Audience
LCCN
2002-019246
TitleLeading
A
Dewey Edition
21
Reviews
'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, ‘… 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 für 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.' EMS Newsletter, "I highly recommend this book for an advanced undergraduate course in dynamical systems." Mathematical Reviews, '… 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 fr Mathematik, '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, '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, '... 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 für Mathematik, '... 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
Illustrated
Yes
Dewey Decimal
514/.74
Table Of Content
1. What is a dynamical system?; Part I. Simple Behavior in Dynamical Systems: 2. Systems with stable asymptotic behavior; 3. Linear maps and linear differential equations; Part II. Complicated Behavior in Dynamical Systems: 4. Quasiperiodicity and uniform distribution on the circle; 5. Quasiperiodicity and uniform distribution in higher dimension; 6. Conservative systems; 7. Simple systems with complicated orbit structure; 8. Entropy and chaos; 9. Simple dynamics as a tool; Part III. Panorama of Dynamical Systems: 10. Hyperbolic dynamics; 11. Quadratic maps; 12. Homoclinic tangles; 13. Strange attractors; 14. Diophantine approximation and applications of dynamics to number theory; 15. Variational methods, twist maps, and closed geodesics; Appendix; Solutions.
Synopsis
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory., 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., This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigour with copious examples of important applications, covering topics ranging from Newtonian mechanics to coding theory.
LC Classification Number
QA614.8.H38 2002
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