Mathematical Aspects Of Classical And Celestial Mechanics
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Mathematical Aspects Of Classical And Celestial Mechanics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer
Release Date : 2006-10-06
Mathematical Aspects Of Classical And Celestial Mechanics written by Vladimir I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-06 with Mathematics categories.
The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : V. I. Arnold
language : en
Publisher:
Release Date : 1997
Mathematical Aspects Of Classical And Celestial Mechanics written by V. I. Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : V.I. Arnold
language : en
Publisher:
Release Date : 1996
Mathematical Aspects Of Classical And Celestial Mechanics written by V.I. Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Celestial mechanics categories.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : V. I. Arnold
language : en
Publisher:
Release Date : 1997
Mathematical Aspects Of Classical And Celestial Mechanics written by V. I. Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer
Release Date : 2010-11-13
Mathematical Aspects Of Classical And Celestial Mechanics written by Vladimir I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-13 with Mathematics categories.
The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Dynamical Systems Ii
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Author : Ya.G. Sinai
language : en
Publisher: Springer
Release Date : 1996-12-01
Dynamical Systems Ii written by Ya.G. Sinai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-01 with Mathematics categories.
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.
Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer
Release Date : 1988
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Lectures On The Geometry Of Numbers
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Author : Carl Ludwig Siegel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Lectures On The Geometry Of Numbers written by Carl Ludwig Siegel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.
Nonlinear Differential Equations And Dynamical Systems
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Author : Ferdinand Verhulst
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-20
Nonlinear Differential Equations And Dynamical Systems written by Ferdinand Verhulst and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-20 with Mathematics categories.
For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.
Dynamical Systems Iii
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Author :
language : en
Publisher:
Release Date : 1989
Dynamical Systems Iii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Dyamical systems categories.