Research Catalog

Introduction to mechanics and symmetry

Title
Introduction to mechanics and symmetry / Jerrold E. Marsden, Tudor S. Ratiu.
Author
Marsden, Jerrold E.
Publication
New York : Springer, 1999.

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Additional Authors
Rațiu, Tudor S.
Description
xviii, 582 pages : illustrations; 24 cm.
Summary
"Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability, and bifurcation, and the study of specific rigid, fluid, plasma, and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which make it accessible to a wide variety of readers, especially senior undergraduate and graduate students in mathematics, physics, and engineering."--Jacket.
Series Statement
Texts in applied mathematics ; 17
Uniform Title
Texts in applied mathematics ; 17.
Subjects
Bibliography (note)
  • Includes bibliographical references and index.
Contents
1. Introduction and Overview -- 2. Hamiltonian Systems on Linear Symplectic Spaces -- 3. An Introduction to Infinite-Dimensional Systems -- 4. Manifolds, Vector Fields, and Differential Forms -- 5. Hamiltonian Systems on Symplectic Manifolds -- 6. Cotangent Bundles -- 7. Lagrangian Mechanics -- 8. Variational Principles, Constraints, & Rotating Systems -- 9. An Introduction to Lie Groups -- 10. Poisson Manifolds -- 11. Momentum Maps -- 12. Computation and Properties of Momentum Maps -- 13. Lie -- Poisson and Euler -- Poincare Reduction -- 14. Coadjoint Orbits -- 15. The Free Rigid Body.
ISBN
  • 038798643X
  • 9780387986432
LCCN
98044773
OCLC
  • ocn367558609
  • 367558609
  • SCSB-3685673
Owning Institutions
Columbia University Libraries