Ergodic Problems Of Classical Mechanics PDF Download
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Author | : Vladimir Igorevich Arnolʹd |
Publisher | : Addison-Wesley Longman |
Total Pages | : 286 |
Release | : 1989-01-01 |
Genre | : Science |
ISBN | : 9780201094060 |
Download Ergodic Problems of Classical Mechanics Book in PDF, ePub and Kindle
Author | : V. I. Arnold |
Publisher | : |
Total Pages | : 286 |
Release | : 1979 |
Genre | : Ergodic theory |
ISBN | : |
Download Ergodic Problems of Classical Mechanics Book in PDF, ePub and Kindle
Author | : Vladimir Igorevich Arnolʹd |
Publisher | : |
Total Pages | : 312 |
Release | : 1968 |
Genre | : Dynamics |
ISBN | : |
Download Ergodic Problems of Classical Mechanics Book in PDF, ePub and Kindle
Author | : V.I. Arnol'd |
Publisher | : Springer Science & Business Media |
Total Pages | : 530 |
Release | : 2013-04-09 |
Genre | : Mathematics |
ISBN | : 1475720637 |
Download Mathematical Methods of Classical Mechanics Book in PDF, ePub and Kindle
This 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 |
Total Pages | : 552 |
Release | : 1997-09-05 |
Genre | : Mathematics |
ISBN | : 9780387968902 |
Download Mathematical Methods of Classical Mechanics Book in PDF, ePub and Kindle
This 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 | : G. L. Kotkin |
Publisher | : Elsevier |
Total Pages | : 288 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 148318661X |
Download Collection of Problems in Classical Mechanics Book in PDF, ePub and Kindle
Collection of Problems in Classical Mechanics presents a set of problems and solutions in physics, particularly those involving mechanics. The coverage of the book includes 13 topics relevant to classical mechanics, such as integration of one-dimensional equations of motion; the Hamiltonian equations of motion; and adiabatic invariants. The book will be of great use to physics students studying classical mechanics.
Author | : R. Jancel |
Publisher | : Elsevier |
Total Pages | : 441 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483186261 |
Download Foundations of Classical and Quantum Statistical Mechanics Book in PDF, ePub and Kindle
Foundations 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 | : O. L. de Lange |
Publisher | : OUP Oxford |
Total Pages | : 608 |
Release | : 2010-05-06 |
Genre | : Science |
ISBN | : 0191582867 |
Download Solved Problems in Classical Mechanics Book in PDF, ePub and Kindle
Apart from an introductory chapter giving a brief summary of Newtonian and Lagrangian mechanics, this book consists entirely of questions and solutions on topics in classical mechanics that will be encountered in undergraduate and graduate courses. These include one-, two-, and three- dimensional motion; linear and nonlinear oscillations; energy, potentials, momentum, and angular momentum; spherically symmetric potentials; multi-particle systems; rigid bodies; translation and rotation of the reference frame; the relativity principle and some of its consequences. The solutions are followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest. Both analytical and numerical (computer) techniques are used to obtain and analyze solutions. The computer calculations use Mathematica (version 7), and the relevant code is given in the text. It includes use of the interactive Manipulate function which enables one to observe simulated motion on a computer screen, and to study the effects of changing parameters. The book will be useful to students and lecturers in undergraduate and graduate courses on classical mechanics, and students and lecturers in courses in computational physics.
Author | : V. I. Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 469 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1475716931 |
Download Mathematical Methods of Classical Mechanics Book in PDF, ePub and Kindle
Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.
Author | : Giovanni Gallavotti |
Publisher | : Springer Science & Business Media |
Total Pages | : 439 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662058537 |
Download Aspects of Ergodic, Qualitative and Statistical Theory of Motion Book in PDF, ePub and Kindle
Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.