Carte Dynamical Systems X Victor V. Kozlov

Dynamical Systems X

General Theory of Vortices

Limbă: engleză
Legare: Copertă tare
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
829.14 lei
Well-known first-rate author Treats a major topic in mathematical physics Text: This book contains a...

Informații despre carte

Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2002
Pagini
184
EAN
9783540422075
ISBN
3540422072
Enbook ID
01563540
Greutate
1000
Dimensiuni
155 x 235 x 15

Descriere completă

Well-known first-rate author Treats a major topic in mathematical physics Text: 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 general vortex theory 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 ofdifferential equations.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.

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