基本信息出版社：World Scientific Publishing Company
页码：436 页
出版日期：2004年11月
ISBN：9812388060
International Standard Book Number：9812388060
条形码：9789812388063
EAN：9789812388063
装帧：精装
正文语种：英语
丛书名：Advanced Series in Nonlinear Dynamics

内容简介 This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. A great deal of effort has been directed toward making the description elementary, clear and concise, so that beginners will have an access to the topics.
目录
Mathematical Bases: Flows, Diffeomorphisms and Lie Groups Geometry of Surfaces in R3 Riemannian Geometry Dynamical Systems: Free Rotation of a Rigid Body Diffeomorphic Flows and KdV Equation on a Circle S1 Geometrical Theory of Chaos in a Hamiltonian Flows of an Ideal Fluid: Gauge Principle and Variational Formulation of Fluid Dynamics Flows of an Inviscid Incompressible Fluid Motion of a Vortex Filament Integrable Systems: Geometric Interpretations of Sine-Gordon Equation Geometric and Group-Theoretic Theory
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