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OverviewThis 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 the theory of Lie groups in the mathematical aspect, and on 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 easy access to the topics. Full Product DetailsAuthor: Tsutomu (Jixin) Kambe (-)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 23 Dimensions: Width: 15.80cm , Height: 2.90cm , Length: 23.40cm Weight: 0.757kg ISBN: 9789812388063ISBN 10: 9812388060 Pages: 436 Publication Date: 10 September 2004 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsMathematical 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 TheoryReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |