经典力学和天体力学中的数学论题 第2版

所属分类:力学  
出版时间:2000-6   出版时间:世界图书出版公司   作者:V.I.Arnold   页数:291  
Tag标签:数学,物理,物理学,经典力学,力学  

内容概要

This work describes the fundamental principles, problems, and methods of classical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. This apparatus 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. This work describes the fundamental principles, problems, and methods of classical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. This apparatus 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.

书籍目录

Chapter
1.
Basic
Principles
of
Classical
Mechanics 1.
Newtonian
Mechanics  1.1.
Space.
Time,
Motion  1.2.
The
Newton-Laplace
Principle
of
Determinacy  1.3.
The
Principle
of
Relativity  1.4.
Basic
Dynamical
Quantities.
Conservation
Laws 2.
Lagrangian
Mechanics  2.1.
Preliminary
Remarks  2.2.
Variations
and
Extremals  2.3.
Lagrange''s
Equations  2.4.
Poincare''s
Equations  2.5.
Constrained
Motion 3.
Hamiltonian
Mechanics  3.1.
Symplectic
Structures
and
Hamilton''s
Equations  3.2.
Generating
Functions  3.3.
Symplectic
Structure
of
the
Cotangent
Bundle  3.4.
The
Problem
of
n
Point
Vortices  3.5.
The
Action
Functional
in
Phase
Space  3.6.
Integral
Invariants  3.7.
Applications
to
the
Dynamics
of
Ideal
Fluids  3.8.
Principle
of
Stationary
Isoenergetic
Action 4.
Vakonomic
Mechanics  4.1.
Lagrange''s
Problem  4.2.
Vakonomic
Mechanics  ……Chapter
2.
The
n-Body
ProblemChapter
3.
Symmetry
Groups
and
Reduction
Lowering
the
OrderChapter
4.
Integrable
Systems
and
Integration
MethodsChapter
5.
Perturbation
Theory
for
Integrable
SystemsChapter
6.
Nonintegrable
SystemsChapter
7.
Theory
of
Small
OscillationsComments
on
the
BibliographyRecommended
ReadingBibliographyIndex

图书封面

图书标签Tags

数学,物理,物理学,经典力学,力学


    经典力学和天体力学中的数学论题 第2版下载



用户评论 (总计20条)

 
 

  •     舒幼生老师的书,当当的快递太**了!!
  •     书有些粗糙。,适合大学生和高中物理竞赛
  •     字迹清晰,只是有点贵
  •     其余章节还在继续复习中。。。。,就是到地有点慢
  •     值得拥有,书很好
  •     内容详实,开始刷舒力
  •     买书,不错的
  •     印刷质量高。适合考研以及物理竞赛的学生阅读。,纸张不错
  •     愛不釋手,一个系列的学起来
  •     书的质量很好,发货很很快。
  •     舒老师的书的确经典,就是有灰。
  •     本书以讨论分析力学开始,与众不同
  •     我还比较喜欢这一本。,就是习题太少
  •     经典书目,挺好的
  •     内容也很详细~,送货很快
  •     非常好的书,书内容不错适合自学。很严谨
  •     力学书侧面是破的,绝对很棒的书
  •     原来的书是好书,权威可靠
  •     是物理奥赛训练首选。,必须自习研读一遍!
  •     题目丰富的书,前苏联作者的思维
 

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