Mathematical Methods of Classical Mechanics
Traducere de K. Vogtmann, A. Weinstein De (autor) V.I. Arnol'den Limba Engleză Hardback – 05 Sep 1997
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Specificații
ISBN-13: 9780387968902
ISBN-10: 0387968903
Pagini: 520
Ilustrații: 1
Dimensiuni: 155 x 235 x 30 mm
Greutate: 0.89 kg
Ediția: 2nd ed. 1989. Corr. 4th printing 1997
Editura: Springer
Colecția Springer
Locul publicării: New York, NY, United States
ISBN-10: 0387968903
Pagini: 520
Ilustrații: 1
Dimensiuni: 155 x 235 x 30 mm
Greutate: 0.89 kg
Ediția: 2nd ed. 1989. Corr. 4th printing 1997
Editura: Springer
Colecția Springer
Locul publicării: New York, NY, United States
Public țintă
GraduateCuprins
I
Newtonian
Mechanics.-
1
Experimental
facts.-
2
Investigation
of
the
equations
of
motion.-
II
Lagrangian
Mechanics.-
3
Variational
principles.-
4
Lagrangian
mechanics
on
manifolds.-
5
Oscillations.-
6
Rigid
bodies.-
III
Hamiltonian
Mechanics.-
7
Differential
forms.-
8
Symplectic
manifolds.-
9
Canonical
formalism.-
10
Introduction
to
perturbation
theory.-
Appendix
1
Riemannian
curvature.-
Appendix
2
Geodesics
of
left-invariant
metrics
on
Lie
groups
and
the
hydrodynamics
of
ideal
fluids.-
Appendix
3
Symplectic
structures
on
algebraic
manifolds.-
Appendix
4
Contact
structures.-
Appendix
5
Dynamical
systems
with
symmetries.-
Appendix
6
Normal
forms
of
quadratic
hamiltonians.-
Appendix
7
Normal
forms
of
hamiltonian
systems
near
stationary
points
and
closed
trajectories.-
Appendix
8
Theory
of
perturbations
of
conditionally
periodic
motion,
and
Kolmogorov’s
theorem.-
Appendix
9
Poincaré’s
geometric
theorem,
its
generalizations
and
applications.-
Appendix
10
Multiplicities
of
characteristic
frequencies,
and
ellipsoids
depending
on
parameters.-
Appendix
11
Short
wave
asymptotics.-
Appendix
12
Lagrangian
singularities.-
Appendix
13
The
Korteweg-de
Vries
equation.-
Appendix
14
Poisson
structures.-
Appendix
15
On
elliptic
coordinates.-
Appendix
16
Singularities
of
ray
systems.
Recenzii
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
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