Ergodic Problems of Classical Mechanics
Author: Vladimir Igorevich Arnolʹd
Publisher: Addison-Wesley Longman
Published: 1989-01-01
Total Pages: 286
ISBN-13: 9780201094060
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Author: Vladimir Igorevich Arnolʹd
Publisher: Addison-Wesley Longman
Published: 1989-01-01
Total Pages: 286
ISBN-13: 9780201094060
DOWNLOAD EBOOKAuthor: Vladimir Igorevich Arnolʹd
Publisher:
Published: 1968
Total Pages: 312
ISBN-13:
DOWNLOAD EBOOKAuthor: V. I. Arnold
Publisher:
Published: 1979
Total Pages: 286
ISBN-13:
DOWNLOAD EBOOKAuthor: V.I. Arnol'd
Publisher: Springer Science & Business Media
Published: 2013-04-09
Total Pages: 530
ISBN-13: 1475720637
DOWNLOAD EBOOKThis book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
Published: 1997-09-05
Total Pages: 552
ISBN-13: 9780387968902
DOWNLOAD EBOOKThis book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Author: R. Jancel
Publisher: Elsevier
Published: 2013-10-22
Total Pages: 441
ISBN-13: 1483186261
DOWNLOAD EBOOKFoundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.
Author: Vladimir I. Arnold
Publisher: Springer Science & Business Media
Published: 2004-06-24
Total Pages: 664
ISBN-13: 9783540206149
DOWNLOAD EBOOKVladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Author: Conference Board of the Mathematical Sciences
Publisher: CRC Press
Published: 1981-09-01
Total Pages: 260
ISBN-13: 9780824715298
DOWNLOAD EBOOKAuthor: Giovanni Gallavotti
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 586
ISBN-13: 3662007312
DOWNLOAD EBOOKThe word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Author: A. S. Kechris
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 258
ISBN-13: 0821848941
DOWNLOAD EBOOKA study of ergodic, measure preserving actions of countable discrete groups on standard probability spaces. It explores a direction that emphasizes a global point of view, concentrating on the structure of the space of measure preserving actions of a given group and its associated cocycle spaces.