Geometrical Theory Of Dynamical Systems And Fluid Flows (advanced Series In Nonlinear Dynamics)
by Tsutomu Kambe /
2004 / English / PDF
4.7 MB Download
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.
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.