Nonlinear mechanics and pure mathematics
著者
書誌事項
Nonlinear mechanics and pure mathematics
（Classics of Soviet mathematics, v. 2 . N.N. Bogolubov selected works ; part 3）
Gordon and Breach Publishers, c1995
- : set
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注記
Includes index
内容説明・目次
- 巻冊次
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ISBN 9782881249181
内容説明
This volume looks at themes including: calculus of variations; nonlinear mechanics and ergodic theory; and approximation and asymptotics. The Krylov-Bogolubov method of averaging forms the crux of the papers included in this volume, and numerous examples of its applications are given. Bogolubov later returns to this topic to prove the existence of quasi-periodic solutions of certain mechanical systems whose number of degrees of freedom is more than one.
目次
- The calculus of variations
- nonlinear mechanics and ergodic theory
- approximation and asymptotics.
- 巻冊次
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: set ISBN 9782884490689
内容説明
A four-volume set detailing Bogolubov's papers on dynamical theory, quantum and classical statistical mechanics, nonlinear mechanics and pure mathematics and quantum field theory.
目次
- Volume 1 Dynamical theory: problems of a dynamic theory in statistical physics
- on stochastic processes in dynamical systems
- microscopic solutions of the Boltzmann-Enskog equation in the kinetic theory of hard spheres. Volume 2 Quantam and classical statistical mechanics: on the theory of superfluidity
- on the compensation principle and self-consistent field method
- quasi-averages in problems of statistical mechanics
- hydrodynamic equations in statistical mechanics
- on the hydrodynamics of a superfluid liquid. Volume 3: The calculus of variations
- nonlinear mechanics and ergodic theory
- approximation and asymptotics. Volume 4: On the basic equations of quantum field theory
- variation al equations in quantum field theory
- problems of quantum field theory.
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