Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems PDF Download
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Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 376
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Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 376
Get Book Here
Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category :
Languages : en
Pages : 347
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Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 624
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Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 624
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Book Description
Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692460
Category : Mathematics
Languages : en
Pages : 205
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Book Description
Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Author:
Publisher: World Scientific
ISBN: 9814282251
Category : Fluid dynamics
Languages : en
Pages : 444
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Book Description
"This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics."-
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 312
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Book Description
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 324
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Book Description
Author: Tsutomu (Jixin) Kambe
Publisher: World Scientific Publishing Company
ISBN: 981310628X
Category : Science
Languages : en
Pages : 435
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Book Description
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.
