Introduction to the Modern Theory of Dynamical Systems: Encyclopedia of Mathematics and its Applications, cartea 54
Autor Anatole Katok, Boris Hasselblatten Limba Engleză Paperback – 27 dec 1996
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Paperback (1) | 529.67 lei 6-8 săpt. | |
Cambridge University Press – 27 dec 1996 | 529.67 lei 6-8 săpt. | |
Hardback (1) | 992.43 lei 6-8 săpt. | |
Cambridge University Press – 27 apr 1995 | 992.43 lei 6-8 săpt. |
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Specificații
ISBN-13: 9780521575577
ISBN-10: 0521575575
Pagini: 824
Ilustrații: line drawings
Dimensiuni: 159 x 235 x 51 mm
Greutate: 1.16 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications
Locul publicării:New York, United States
ISBN-10: 0521575575
Pagini: 824
Ilustrații: line drawings
Dimensiuni: 159 x 235 x 51 mm
Greutate: 1.16 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications
Locul publicării:New York, United States
Cuprins
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.
Recenzii
' … 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
'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
'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement Mathématique
Descriere
A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.