Articoli correlati a Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics - Rilegato

 
9780387903149: Mathematical Methods of Classical Mechanics
Rilegato
ISBN 10: 0387903143 ISBN 13: 9780387903149

Sinossi

Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.

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Recensione

Second Edition

V.I. Arnol’d

Mathematical Methods of Classical Mechanics

"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

Product Description

Book by Arnold Vladimir Igorevich

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Data di pubblicazione
1609
Lingua
Inglese
ISBN 10 
0387903143
ISBN 13 
9780387903149
Rilegatura
Copertina rigida
Numero di pagine
474
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9781475720648: Mathematical Methods of Classical Mechanics

Edizione in evidenza

ISBN 10:  1475720645 ISBN 13:  9781475720648
Casa editrice: Springer, 2013
Brossura