Elements of Analytical Dynamics
Published on 10. July 2014
192 pages
978-1-4831-5172-4 (ISBN)
Description
Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.
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R. Kurth
Elements of Analytical Dynamics
Book
09/1975
Pergamon
€24.76
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Content
Preface Chapter I. The Equations of Motion § 1. Space and Time § 2. Dynamical Systems of Particles § 3. Lagrangian Systems Chapter II. Hamilton-Jacobi Theory § 4. Hamilton's Equation § 5. Canonical Transformations § 6. Time-Dependent Completely Canonical Transformations § 7. Time-Independent Completely Canonical Transformations: Generating Functions § 8. Jacobi's Partial Differential Equation Chapter III. Hamilton's Principle and First Integrals § 9. Hamilton's Principle, Euler's Equations § 10. First Integrals § 11. Noether's Theorem § 12. Stability Chapter IV. Jacobi's Geometric Interpretation of Dynamics § 13. Maupertuis' Principle § 14. Riemannian Geometry § 15. Jacobi's Geometric Interpretation of Conservative Lagrangian Systems § 16. Spaces With Intrinsic Metrics § 17. A Generalization of Jacobi's Interpretation § 18. Concluding Remarks ExercisesReferences Supplementary Literature Index Other Titles in the Series
