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Mathematical Aspects of Classical and Celestial Mechanics

2013-12-01 Mathematics
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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 377/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : V.I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by V.I. Arnold. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989

Mathematical Aspects of Classical and Celestial Mechanics

2006-10-06 Mathematics
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Release : 2006-10-06
Genre : Mathematics
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold. This book was released on 2006-10-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

1993 Mathematics
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Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : 413/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnol'd

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnol'd. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Aspects of Classical and Celestial Mechanics.As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake.

Mathematical Aspects of Classical and Celestial Mechanics

2007-07-05 Mathematics
Download Mathematical Aspects of Classical and Celestial Mechanics PDF Online Free

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Release : 2007-07-05
Genre : Mathematics
Kind : eBook
Book Rating : 266/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold. This book was released on 2007-07-05. Available in PDF, EPUB and Kindle. Book excerpt: 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 III

1988 Science
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Release : 1988
Genre : Science
Kind : eBook
Book Rating : 020/5 ( reviews)

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Book Synopsis Dynamical Systems III by : Vladimir I. Arnol'd

Download or read book Dynamical Systems III written by Vladimir I. Arnol'd. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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