Marsden, Jerrold E. (2010) Geometry of Nonlinear Systems : CDS 202 lecture notes. [Teaching Resource] (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20101130-150707270
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Abstract
Course Description: CDS 202 is the foundation course for work in geometric mechanics and geometric control theory. In addition, students wanting to work in applied fields like fluid mechanics, elasticity, computational mechanics, computational geometry, and variational integrators will find this course useful. Topics: Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem. Course Catalog: 9 units (3-0-6); second term. Prerequisite: CDS 201 or AM 125a Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius’s theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes' theorem.
| Item Type: | Teaching Resource | ||||||
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| Additional Information: | Includes lectures notes written by Jerrold E. Marsden for Caltech's CDS 202 Winter term course. | ||||||
| Subject Keywords: | geometric mechanics ; geometric control theory. Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem. | ||||||
| Record Number: | CaltechAUTHORS:20101130-150707270 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20101130-150707270 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 21076 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Katherine Johnson | ||||||
| Deposited On: | 03 Jan 2011 20:36 | ||||||
| Last Modified: | 03 Oct 2019 02:19 |
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