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Ein erster Kurs in Dynamik: Mit einem Panorama der jüngsten Entwicklungen: Neu-

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A First Course in Dynamics: With a Panorama of Recent Developments: New
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Book Title
A First Course in Dynamics: With a Panorama of Recent Development
Publication Date
2003-06-23
Pages
436
ISBN
9780521587501
Subject Area
Science, Mathematics
Publication Name
First Course in Dynamics : with a Panorama of Recent Developments
Publisher
Cambridge University Press
Item Length
9.9 in
Subject
Mechanics / Dynamics, General
Publication Year
2003
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.8 in
Author
Anatole Katok, Boris Hasselblatt
Item Weight
26.8 Oz
Item Width
7 in
Number of Pages
436 Pages

Über dieses Produkt

Product Information

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.

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
Language
English
Publication Name
First Course in Dynamics : with a Panorama of Recent Developments
Publication Year
2003
Subject
Mechanics / Dynamics, General
Type
Textbook
Subject Area
Science, Mathematics
Author
Anatole Katok, Boris Hasselblatt
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
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
Lc Classification Number
Qa614.8.H38 2002
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.
Copyright Date
2002

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