Introduction to the Modern Theory of Dynamical Systems pdf epub mobi txt 电子书下载 2025

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出版者:Cambridge University Press

作者:Anatole Katok

出品人:

页数:824

译者:

出版时间:1996-12-28

价格:USD 93.00

装帧:Paperback

isbn号码:9780521575577

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动力系统
数学
非线性
mathematics
拓扑
分析
topology
math

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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.