Main Title |
Geometrical theory of dynamical systems and fluid flows / |
Author |
Kambe, Tsutomu.
|
Publisher |
World Scientific, |
Year Published |
2004 |
OCLC Number |
57380551 |
ISBN |
9812388060; 9789812388063 |
Subjects |
Fluid dynamics--Mathematical models ;
Geometry, Riemannian ;
Lie groups ;
Nonlinear theories ;
Differentialgeometrie--(DE-588)4012248-7 ;
Dynamisches System--(DE-588)4013396-5 ;
Strèomungsmechanik--(DE-588)4077970-1 ;
Lie-Gruppe
|
Internet Access |
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
ELBM |
QA911.K27 2004 |
|
AWBERC Library/Cincinnati,OH |
09/03/2013 |
|
Collation |
xviii, 416 pages ; 24 cm. |
Notes |
Includes bibliographical references and index. |
Contents Notes |
Part I: Mathematical bases -- Part II: Dynamical systems -- Part III: Flows of ideal fluids -- Part IV: Geometry of integrable systems -- Appendixes: -- A. Topological space and mappings -- B. Exterior forms, products and differentials -- C. Lie groups and rotation groups -- D.A curve and a surface in R3 -- E. Curvature transformation -- F. Function spaces Lp, H 8 and orthogonal decomposition -- G. Derivation of KdV equation for a shallow water wave -- H. Two-cocycle, central extensions and bott cocycle -- I. Additional comment on the gauge theory of "."7.3 -- J. Frobenius integration theorem and Pfaffian system -- K. Orthogonal coordinate net and lines of curvature. "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 easy access to the topics."--Jacket. |
Place Published |
New Jersey ; London |
Title Ser Add Ent |
Advanced series in nonlinear dynamics ; v. 23. |
PUB Date Free Form |
c2004 |
Series Title Untraced |
Advanced series in nonlinear dynamics ; v. 23 |
BIB Level |
m |
Cataloging Source |
OCLC/T |
LCCN |
2007273663 |
OCLC Time Stamp |
20130829124832 |
Language |
eng |
Origin |
OCLC |
Type |
CAT |
OCLC Rec Leader |
02104cam 2200589 a 45020 |