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Geometrical theory of dynamical systems and fluid flows [electronic resource] / Tsutomu Kambe.

By: Kambe, Tsutomu.
Material type: TextTextSeries: Advanced series in nonlinear dynamics: v. 23.Publisher: New Jersey ; London : World Scientific, c2004Description: 1 online resource (xviii, 416 p.).ISBN: 9812565744 (electronic bk.); 9789812565747 (electronic bk.); 9789812388063; 9812388060.Subject(s): Fluid dynamics -- Mathematical models | Geometry, Riemannian | Lie groups | Nonlinear theories | Electronic books | Fluides, Dynamique des -- Mod�eles math�ematiques | Riemann, G�eom�etrie de | Lie, Groupes de | Th�eories non lin�eaires | SCIENCE -- Mechanics -- FluidsGenre/Form: Electronic books.Additional physical formats: Print version:: Geometrical theory of dynamical systems and fluid flows.DDC classification: 532.050151636 Online resources: EBSCOhost
Contents:
Appendix C Lie Groups and Rotation GroupsAppendix D A Curve and a Surface in R3; Appendix E Curvature Transformation; Appendix F Function Spaces Lp,Hs and Orthogonal Decomposition; Appendix G Derivation of KdV Equation for a Shallow Water Wave; Appendix H Two-Cocycle, Central Extension and Bott Cocycle; Appendix I Additional Comment on the Gauge Theory of 7.3; Appendix J Frobenius Integration Theorem and Pfaffian Sy
Summary: This is an introductory textbook on the geometrical theory ofdynamical systems, fluid flows, and certain integrable systems. Thesubjects are interdisciplinary and extend from mathematics, mechanicsand physics to mechanical engineering, and the approach is veryfundamental.
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Includes bibliographical references and index.

Description based on print version record.

Appendix C Lie Groups and Rotation GroupsAppendix D A Curve and a Surface in R3; Appendix E Curvature Transformation; Appendix F Function Spaces Lp,Hs and Orthogonal Decomposition; Appendix G Derivation of KdV Equation for a Shallow Water Wave; Appendix H Two-Cocycle, Central Extension and Bott Cocycle; Appendix I Additional Comment on the Gauge Theory of 7.3; Appendix J Frobenius Integration Theorem and Pfaffian Sy

This is an introductory textbook on the geometrical theory ofdynamical systems, fluid flows, and certain integrable systems. Thesubjects are interdisciplinary and extend from mathematics, mechanicsand physics to mechanical engineering, and the approach is veryfundamental.

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Geometrical theory of dynamical systems and fluid flows by Kambe, Tsutomu. ©2004
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