POD-经典力学与天体力学中的数学问题

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  • 版 次:31
  • 页 数:
  • 字 数:
  • 印刷时间:
  • 开 本:B5
  • 纸 张:
  • 包 装:圆脊精装
  • 是否套装:否
  • 国际标准书号ISBN:9787030235077
  • 丛书名:国外数学名著系列(续一)(影印版)64
作者:Arnold出版社:科学出版社有限责任公司出版时间:2016年05月 
编辑推荐
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内容简介
This work describes the fundamental principles, problems, and methods of classical mechanics. The maiattentiois devoted to the mathematical side of the subject. The authors have endeavored to give aexpositiostressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters othe variational principles and methods of classical mechanics as well as otensor invariants of equations of dynamics. Moreover, various other sections have beerevised, added or expanded. The maipurpose of the book is to acquaint the reader with classical mechanics as a whole, iboth its classical and its contemporary aspects.
目  录
1 Basic Principles of Classical Mechanics
1.1 NewtoniaMechanics
1.1.1 Space, Time, Motion
1.1.2 Newton-Laplace Principle of Determinacy
1.1.3 Principle of Relativity
1.1.4 Principle of Relativity and Forces of Inertia
1.1.5 Basic Dynamical Quantities. ConservatioLaws
1.2 LagrangiaMechanics
1.2.1 Preliminary Remarks
1.2.2 Variations and Extremals
1.2.3 Lagrange's Equations
1.2.4 Poincare's Equations
1.2.5 Motiowith Constraints
1.3 HamiltoniaMechanics

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