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Introduction to the Modern Theory of Dynamical Systems, Paperback by Katok, A...
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eBay item number:356396476267
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Introduction to the Modern Theory of Dynamical Systems
- ISBN
- 9780521575577
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521575575
ISBN-13
9780521575577
eBay Product ID (ePID)
941076
Product Key Features
Number of Pages
824 Pages
Publication Name
Introduction to the Modern Theory of Dynamical Systems
Language
English
Subject
General
Publication Year
1996
Type
Textbook
Subject Area
Mathematics
Series
Encyclopedia of Mathematics and Its Applications Ser.
Format
Trade Paperback
Dimensions
Item Height
2 in
Item Weight
40.9 Oz
Item Length
9.3 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
20
Reviews
'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement Mathmatique, 'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement Mathématique, '¿ contains detailed discussion ¿ presents many recent results ¿ The text is carefully written and is accompanied by many excercises.¿ European Mathematical Society Newsletter, ' … there is no other treatment coming close in terms of comprehensiveness and readability … it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.' Monatshefte fr Mathematik, ‘ … there is no other treatment coming close in terms of comprehensiveness and readability … it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.’Monatshefte für Mathematik, ‘… contains detailed discussion … presents many recent results … The text is carefully written and is accompanied by many excercises.’European Mathematical Society Newsletter, ' ... there is no other treatment coming close in terms of comprehensiveness and readability ... it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.' Monatshefte für Mathematik, '… contains detailed discussion … presents many recent results … The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter, "...well written and clear...a valuable reference for engineers and mechanicians." H.W. Haslach Jr., Applied Mechanics Reviews, '... contains detailed discussion ... presents many recent results ... The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter, ‘This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.’L’Enseignement Mathématique, "The notes section at the end of the book is complete and quite helpful. There are hints and answers provided for a good percentage of the problems in the book. The problems range from fairly straightforward ones to results that I remember reading in research papers over the last 10-20 years....I recommend the text as an exceptional reference..." Richard Swanson, SIAM Review
Series Volume Number
Series Number 54
Illustrated
Yes
Dewey Decimal
515.3/52
Table Of Content
Part I. Examples and Fundamental Concepts; Introduction; 1. First examples; 2. Equivalence, classification, and invariants; 3. Principle classes of asymptotic invariants; 4. Statistical behavior of the orbits and introduction to ergodic theory; 5. Smooth invariant measures and more examples; Part II. Local Analysis and Orbit Growth; 6. Local hyperbolic theory and its applications; 7. Transversality and genericity; 8. Orbit growth arising from topology; 9. Variational aspects of dynamics; Part III. Low-Dimensional Phenomena; 10. Introduction: What is low dimensional dynamics; 11. Homeomorphisms of the circle; 12. Circle diffeomorphisms; 13. Twist maps; 14. Flows on surfaces and related dynamical systems; 15. Continuous maps of the interval; 16. Smooth maps of the interval; Part IV. Hyperbolic Dynamical Systems; 17. Survey of examples; 18. Topological properties of hyperbolic sets; 19. Metric structure of hyperbolic sets; 20. Equilibrium states and smooth invariant measures; Part V. Sopplement and Appendix; 21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
Synopsis
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up., This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up., Provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with all main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms., 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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- 3***e (6)- Feedback left by buyer.Past 6 monthsVerified purchaseThis seller communicates very well, ships same or next day, great packing preserved the use book I bought. The book was in stellar condition also. I found this seller to be reliable and trustworthy.Design and Composition by Nathan Goldstein (1989, Trade Paperback) (#356641449939)
- h***n (101)- Feedback left by buyer.Past monthVerified purchaseWhat a wonderful book! Good condition, great quality. Looks good. Fast Postage, good packaging. Such a great and lovely thing as described. Great value! Love it! And it is a pleasant communication with the seller!
- a***n (2690)- Feedback left by buyer.Past monthVerified purchaseGreat Ebayer!!! Item as described; packed well and shipped FAST!!! Highly Recommend!!!
Seller feedback (281)
- 3***e (6)- Feedback left by buyer.Past 6 monthsVerified purchaseThis seller communicates very well, ships same or next day, great packing preserved the use book I bought. The book was in stellar condition also. I found this seller to be reliable and trustworthy.Design and Composition by Nathan Goldstein (1989, Trade Paperback) (#356641449939)
- h***n (101)- Feedback left by buyer.Past monthVerified purchaseWhat a wonderful book! Good condition, great quality. Looks good. Fast Postage, good packaging. Such a great and lovely thing as described. Great value! Love it! And it is a pleasant communication with the seller!
- a***n (2690)- Feedback left by buyer.Past monthVerified purchaseGreat Ebayer!!! Item as described; packed well and shipped FAST!!! Highly Recommend!!!