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Introduction to the Modern Theory of Dynamical Systems by Boris Hasselblatt (Eng
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eBay item number:386834496229
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
- ISBN-13
- 9780521341875
- Book Title
- Introduction to the Modern Theory of Dynamical Systems
- ISBN
- 9780521341875
- Publication Name
- Introduction to the Modern Theory of Dynamical Systems
- Item Length
- 9.5in
- Publisher
- Cambridge University Press
- Series
- Encyclopedia of Mathematics and Its Applications Ser.
- Publication Year
- 1995
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 2.3in
- Item Width
- 6.5in
- Item Weight
- 44.8 Oz
- Number of Pages
- 824 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521341876
ISBN-13
9780521341875
eBay Product ID (ePID)
1367719
Product Key Features
Publication Name
Introduction to the Modern Theory of Dynamical Systems
Format
Hardcover
Language
English
Series
Encyclopedia of Mathematics and Its Applications Ser.
Publication Year
1995
Type
Textbook
Number of Pages
824 Pages
Dimensions
Item Length
9.5in
Item Height
2.3in
Item Width
6.5in
Item Weight
44.8 Oz
Additional Product Features
Series Volume Number
Series Number 54
Lc Classification Number
Qa614.8 .K38 1995
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 Mathèmatique, ‘ … 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, ' … 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, ‘… 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, "...well written and clear...a valuable reference for engineers and mechanicians." H.W. Haslach Jr., Applied Mechanics Reviews, ‘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, 'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.'L'Enseignement Mathématique, 'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement Mathmatique, ' ... 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, '… contains detailed discussion … presents many recent results … The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter, '... contains detailed discussion ... presents many recent results ... The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter
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.
Copyright Date
1995
Target Audience
Scholarly & Professional
Topic
Mechanics / Dynamics, General
Lccn
94-026547
Dewey Decimal
515.3/52
Dewey Edition
20
Illustrated
Yes
Genre
Science, Mathematics
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