Introduction to the modern theory of dynamical systems / (Record no. 23607)
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| 000 -LEADER | |
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| fixed length control field | 03198cam a2200229 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000004676 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224928.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090210s1995 enka |b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0521575575 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 202302211014 |
| Level of effort used to assign nonsubject heading access points | shakra |
| Level of effort used to assign subject headings | 201402040127 |
| Level of effort used to assign classification | VLOAD |
| Level of effort used to assign subject headings | 201008090930 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200902101011 |
| Level of effort used to assign classification | Noora |
| -- | 200902101009 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.8 |
| Item number | .K38 1995 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Katok, A. B. |
| 9 (RLIN) | 49723 |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to the modern theory of dynamical systems / |
| Statement of responsibility, etc. | Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cambridge ; |
| -- | New York, NY, USA : |
| Name of publisher, distributor, etc. | Cambridge University Press, |
| Date of publication, distribution, etc. | 1995. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xviii, 802 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Encyclopedia of mathematics and its applications ; |
| 9 (RLIN) | 49724 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book provides 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. Scientists and engineers working in applied dynamics, nonlinear science, and chaos will also find many fresh insights in this concrete and clear presentation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differentiable dynamical systems. |
| 9 (RLIN) | 25098 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA614.8 .K38 1995 | 9857 | 21/12/2024 | 1 | 21/12/2024 | Books |