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Flows on 2-dimensional Manifolds : An Overview / by Igor Nikolaev, Evgeny Zhuzhoma.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2380-2384 2385-2389,2392
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Format:
Book
Author/Creator:
Nikolaev, Igor, 1961- author.
Zhuzhoma, Evgeny, author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1705.
Lecture Notes in Mathematics, 0075-8434 ; 1705
Language:
English
Subjects (All):
Geometry.
Global analysis (Mathematics).
Differentiable dynamical systems.
Combinatorial analysis.
Analysis.
Global Analysis and Analysis on Manifolds.
Dynamical Systems and Ergodic Theory.
Combinatorics.
Local Subjects:
Geometry.
Analysis.
Global Analysis and Analysis on Manifolds.
Dynamical Systems and Ergodic Theory.
Combinatorics.
Physical Description:
1 online resource (XXII, 302 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
System Details:
text file PDF
Summary:
Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.
Contents:
Definitions and examples
Poincaré-Bendixson's theory
Decomposition of flows
Local theory
Space of flows and vector fields
Ergodic theory
Invariants of surface flows
C *-algebras of surface flows
Semi-local theory
Anosov-Weil problem
Non-compact surfaces
Triptych.
Other Format:
Printed edition:
ISBN:
9783540487593
Access Restriction:
Restricted for use by site license.

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