Vladimir I. Arnold, Valery V. Kozlov, Anatoly I. Neishtadt

eBook, PDF

Mathematical Aspects of Classical and Celestial Mechanics (eBook, PDF)

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 5.1MB

Autor

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))

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Originaltitel: Matematicheskie Aspekty Klassicheskoj i Nebesnoj Mekhaniki
• Seitenzahl: 505
• Erscheinungstermin: 5. Juli 2007
• Englisch
• ISBN-13: 9783540489269
• Artikelnr.: 53148724