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DYNAMICAL SYSTEMS, ERGODIC THEORY AND APPLICATIONS By L A Bunimovich & S G Dani

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Condition
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages. See all condition definitionsopens in a new window or tab
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“Book is in typical used-Good Condition.  Will show signs of wear to cover and/or pages. There may ...
ISBN-10
3540663169
Book Title
Dynamical Systems, Ergodic Theory and Applications (Encyclopaedia
Item Height
9.21 inches
ISBN
9783540663164
Subject Area
Science, Mathematics
Publication Name
Dynamical Systems, Ergodic Theory and Applications
Item Length
9.3 in
Publisher
Springer Berlin / Heidelberg
Subject
Differential Equations / General, Transformations, System Theory, Topology, Mathematical Analysis
Publication Year
2000
Series
Encyclopaedia of Mathematical Sciences Ser.
Type
Textbook
Format
Hardcover
Language
English
Author
S. G. Dani, R. L. Dobrushin, I. P. Kornfeld, L. A. Bunimovich, M. V. Jakobson
Item Width
6.1 in
Item Weight
65.3 Oz
Number of Pages
Xi, 460 Pages

About this product

Product Information

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations. For this second enlarged and revised edition, published as Mathematical Physics I, EMS 100, two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations were added. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540663169
ISBN-13
9783540663164
eBay Product ID (ePID)
1709808

Product Key Features

Author
S. G. Dani, R. L. Dobrushin, I. P. Kornfeld, L. A. Bunimovich, M. V. Jakobson
Publication Name
Dynamical Systems, Ergodic Theory and Applications
Format
Hardcover
Language
English
Subject
Differential Equations / General, Transformations, System Theory, Topology, Mathematical Analysis
Publication Year
2000
Series
Encyclopaedia of Mathematical Sciences Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xi, 460 Pages

Dimensions

Item Length
9.3 in
Item Width
6.1 in
Item Weight
65.3 Oz

Additional Product Features

Edition Number
2
LCCN
00-701069
Intended Audience
Scholarly & Professional
Series Volume Number
100
Number of Volumes
1 Vol.
Lc Classification Number
Qa331.5
Edition Description
Expanded,Revised Edition
Reviews
"... The list of topics gives some idea of the impressive scope of this volume, and the comprehensive bibliographies represent the state of knowledge right up to the late 1990's. ... This survey is much more than a place where one can quickly look up the current state of knowledge on a particular topic or get an idea about the scope of a branch of the theroy. It is also highly recommended and fascinating reading for experts in the subject: the individual chapters are written by top experts inthe field, whose insights and illuminating remarks will reward readers at any level of expertise. The coverage of both 'mathematical' and 'physical' aspects of the theory in a single volume and from a reasonably unified point of view is another very attractive and quite unique feature of this volume." K.Schmidt, Wien, Monathshefte für Mathematik, Vol. 139, Issue 4, p.351, 2003 "... This Encyclopaedia volume is indeed (as the publisher writes on the back-cover of the book) compulsory reading for all mathematicians working in this field, or wanting to learn about it." W.T.van Horssen, ZAMM 82 (2002), Issue 8, "... The list of topics gives some idea of the impressive scope of this volume, and the comprehensive bibliographies represent the state of knowledge right up to the late 1990's. ... This survey is much more than a place where one can quickly look up the current state of knowledge on a particular topic or get an idea about the scope of a branch of the theroy. It is also highly recommended and fascinating reading for experts in the subject: the individual chapters are written by top experts inthe field, whose insights and illuminating remarks will reward readers at any level of expertise. The coverage of both 'mathematical' and 'physical' aspects of the theory in a single volume and from a reasonably unified point of view is another very attractive and quite unique feature of this volume."K.Schmidt, Wien, Monathshefte für Mathematik, Vol. 139, Issue 4, p.351, 2003"... This Encyclopaedia volume is indeed (as the publisher writes on the back-cover of the book) compulsory reading for all mathematicians working in this field, or wanting to learn about it."W.T.van Horssen, ZAMM 82 (2002), Issue 8, "... The list of topics gives some idea of the impressive scope of this volume, and the comprehensive bibliographies represent the state of knowledge right up to the late 1990's. ... This survey is much more than a place where one can quickly look up the current state of knowledge on a particular topic or get an idea about the scope of a branch of the theroy. It is also highly recommended and fascinating reading for experts in the subject: the individual chapters are written by top experts inthe field, whose insights and illuminating remarks will reward readers at any level of expertise. The coverage of both 'mathematical' and 'physical' aspects of the theory in a single volume and from a reasonably unified point of view is another very attractive and quite unique feature of this volume." K.Schmidt, Wien, Monathshefte fr Mathematik, Vol. 139, Issue 4, p.351, 2003 "... This Encyclopaedia volume is indeed (as the publisher writes on the back-cover of the book) compulsory reading for all mathematicians working in this field, or wanting to learn about it." W.T.van Horssen, ZAMM 82 (2002), Issue 8
Table of Content
I. General Ergodic Theory of Groups of Measure Preserving Transformations (contributions by I.P.Kornfeld, Ya.G.Sinai, and A.M.Vershik).- II. Ergodic Theory of Smooth Dynamical Systems (contributions by L.A.Bunimovich, M.V.Jakobson, Y.B.Pesin, and Ya.G.Sinai).- III. Dynamical Systems on Homogeneous Spaces (by S.G.Dani).- IV. The Dynamics of Billiard Flows in Rational Polygons (by J.Smillie).- V. Dynamical Systems of Statistical Mechanics and Kinetic Equations (contributions by R.L.Dobrushin, N.B.Maslova, Ya.G.Sinai, and Yu.M.Sukhov).- References.- Subject Index
Copyright Date
2000
Dewey Decimal
515/.42
Dewey Edition
21
Illustrated
Yes

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