ENGLISH

The General Topology of Dynamical Systems

By Ethan Akin

Book information

Publisher
American Mathematical Society
Year
2010
ISBN
0821849328, 9780821849323
Language
english
Format
PDF
Filesize
15 MB (15907565 bytes)
Series
Graduate Studies in Mathematics 1
Edition
Reprint
Pages
C, X, 261, B\274
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-09-11 15:26:56

Description

Topology, the foundation of modern analysis, arose historically as a way to organize ideas like compactness and connectedness which had emerged from analysis. Similarly, recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results (such as attractors, chain recurrence, and basic sets). This book collects these results, both old and new, and organizes them into a natural foundation for all aspects of dynamical systems theory. No existing book is comparable in content or scope. Requiring background in point-set topology and some degree of "mathematical sophistication", Akin's book serves as an excellent textbook for a graduate course in dynamical systems theory. In addition, Akin's reorganization of previously scattered results makes this book of interest to mathematicians and other researchers who use dynamical systems in their work. Readership: Graduate students and research mathematicians interested in dynamical systems.

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