Dynamical Systems X - General Theory of Vortices (Hardcover, 2003 ed.)

This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 67
Release date:	May 2003
First published:	May 2003
Authors:	Victor V. Kozlov
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Hardcover
Pages:	184
Edition:	2003 ed.
ISBN-13:	978-3-540-42207-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Classical mechanics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-540-42207-2
Barcode:	9783540422075

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