Mathematical Aspects Of Classical And Celestial Mechanics
Download Mathematical Aspects Of Classical And Celestial Mechanics full books in PDF, epub, and Kindle. Read online free Mathematical Aspects Of Classical And Celestial Mechanics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : V.I. Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 305 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642612377 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
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
Author | : Vladimir I. Arnold |
Publisher | : Springer |
Total Pages | : 505 |
Release | : 2006-10-06 |
Genre | : Mathematics |
ISBN | : 9783540282464 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
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.
Author | : Vladimir I. Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 505 |
Release | : 2007-07-05 |
Genre | : Mathematics |
ISBN | : 3540489266 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
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.
Author | : Vladimir I. Arnol'd |
Publisher | : Springer Verlag |
Total Pages | : 291 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 9780387572413 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
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.
Author | : Vladimir I. Arnol'd |
Publisher | : Springer |
Total Pages | : 316 |
Release | : 1988 |
Genre | : Science |
ISBN | : 9783540170020 |
Download Dynamical Systems III Book in PDF, Epub and Kindle
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.
Author | : V.I. Arnold |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1996-12-18 |
Genre | : Mathematics |
ISBN | : 9783540612247 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
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
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1988 |
Genre | : Celestial mechanics |
ISBN | : 9780387170022 |
Download Mathematical Aspects of Classical and Celestial Mechanics Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 281 |
Release | : 1989 |
Genre | : Dyamical systems |
ISBN | : |
Download Dynamical Systems III 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 | : D. V. Anosov |
Publisher | : |
Total Pages | : 0 |
Release | : 1993 |
Genre | : Celestial mechanics |
ISBN | : |
Download Dynamical Systems Book in PDF, Epub and Kindle