Mathematical Aspects of Classical and Celestial Mechanics
Language: English
Published by Springer, 2010
Series: Book 41 of 47 - Encyclopaedia of Mathematical Sciences
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 287.97
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Druck auf Anfrage Neuware - Printed after ordering - In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth rst and foremost the 'working' apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.…
Seller Inventory # 9783642066474
- Title
- Mathematical Aspects of Classical and Celestial Mechanics
- Author
- Vladimir I. Arnold
- Publisher
- Springer
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 364206647X
- ISBN 13
- 9783642066474
- Item weight
- 803 grams
- Dimensions
- 235x155x29 mm
- Series
- Book 41 of 47: Encyclopaedia of Mathematical Sciences
This work describes the fundamental principles, problems, and methods of classical mechanics. The approach of the authors stresses the working apparatus of classical mechanics, rather than its physical foundations or applications. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The EMS addresses all mathematicians, physicists and engineers.
"Synopsis" may belong to another edition of this title.
About the Author
V.I.Arnold
Famous author of various Springer books in the field of dynamical systems, differential equations, hydrodynamics, magnetohydrodynamics, classical and celestial mechanics, geometry, topology, algebraic geometry, symplectic geometry, singularity theory
1958 Award of the Mathematical Society of Moscow
1965 Lenin Award of the Government of the U.S.S.R.
1976 Honorary Member, London Mathematical Society
1979 Honorary Doctor, University P. and M. Curie, Paris
1982 Carfoord Award of the Swedish Academy
1983 Foreign Member, National Academy, U.S.A.
1984 Foreign Member, Academy of Sciences, Paris
1987 Foreign Member, Academy of Arts and Sciences, U.S.A.
1988 Honorary Doctor, Warwick University, Coventry
1988 Foreign Member, Royal Soc. London, GB
1988 Foreign Member, Accademia Nazionale dei Lincei, Rome, Italy
1990 Member, Academy of Sciences, Russia
1990 Foreign Member, American Philosophical Society
1991 Honorary Doctor, Utrecht
1991 Honorary Doctor, Bologna
1991 Member, Academy of Natural Sciences, Russia
1991 Member, Academia Europaea
1992 N.V. Lobachevsky Prize of Russian Academy of Sciences
1994 Harvey Prize Technion Award
1994 Honorary Doctor, University of Madrid, Complutense
1997 Honorary Doctor, University of Toronto, Canada
2001 Wolf Prize of Wolf Foundation
V.V.Kozlov
Famous Springer author working in the field of general principles of dynamics, integrability of equations of motion, variational methods in mechanics, rigid body dynamics, stability theory, non-holonomic mechanics, impact theory, symmetries and integral invariants, mathematical aspects of statistical mechanics, ergodic theory and mathematical physics.
1973 Lenin Komsomol Prize (the major prize for young scientists in USSR)
1986 M.V. Lomonosov 1st Degree Prize (the major prize awarded by M.V. Lomonosov Moscow State University)
1988 S. A. Chaplygin Prize of Russian Academy of Sciences
1994 State Prize of the Russian Federation
1995 Member, Russian Academy of Natural Sciences
2000 S.V. Kovalevskaya Prize of Russian Academy of Sciences
2000 Member, Academy of Sciences, Russia
2003 Foreign member of the Serbian Science Society
A.I.Neishtadt
Neishtadt is also Springer Author, working in the field of perturbation theory (in particular averaging of perturbations, adiabatic invariants), bifurcation theory, celestial mechanics
2001 A.M.Lyapunov Prize of Russian Academy of Sciences (joint with D.V.Anosov))
"About the title" may belong to another edition of this title.
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