Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems

書誌事項

Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems

Jerrold E. Marsden, Tudor S. Ratiu

(Texts in applied mathematics, 17)

Springer, 2003, c1999

2nd ed

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注記

"Corrected printing, 2003" --T.p. verso

Includes bibliographical references and index

内容説明・目次

内容説明

A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.

目次

Preface * About the Authors * 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, and 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 * References

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詳細情報

  • NII書誌ID(NCID)
    BA65571099
  • ISBN
    • 038798643X
  • LCCN
    98044773
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York ; Tokyo
  • ページ数/冊数
    xviii, 584 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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