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Introduction To Mechanics & Symmetry 2ND Edition

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Introduction To Mechanics & Symmetry 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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 specific 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 makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text 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 on-line.

Synopsis:

In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems along with the use of geometric methods and new applications. Written by leading authorities in the field, this introduction lays the basic foundation for these topics and includes numerous applications and up-to-date techniques. 55 illus.

Synopsis:

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.

Table of Contents

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

Product Details

ISBN:
9780387986432
Author:
Marsden, Jerrold E.
Author:
Rawtiu, Tudor S.
Author:
Marsden, Jerrold E.
Author:
Ratiu, Tudor S.
Author:
Ratiu, Tudor Stefan
Publisher:
Springer
Location:
New York, NY
Subject:
Physics
Subject:
Mechanics
Subject:
Mechanics, analytic
Subject:
Mathematical Physics
Subject:
Symmetry
Subject:
Symmetry (Physics)
Subject:
Mechanics - General
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Topological Groups, Lie Groups
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Physics-Classical Mechanics
Subject:
Language, literature and biography
Subject:
Physics and Astronomy
Subject:
Topological groups
Subject:
Cell aggregation_xMathematics
Copyright:
Edition Number:
2
Edition Description:
2nd ed. Corr. 2nd printing
Series:
Texts in Applied Mathematics
Series Volume:
17
Publication Date:
19990414
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
600
Dimensions:
235 x 155 mm 2240 gr

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Related Subjects

Science and Mathematics » Environmental Studies » General
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » General

Introduction To Mechanics & Symmetry 2ND Edition New Hardcover
0 stars - 0 reviews
$118.50 In Stock
Product details 600 pages Springer-Verlag - English 9780387986432 Reviews:
"Synopsis" by , In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems along with the use of geometric methods and new applications. Written by leading authorities in the field, this introduction lays the basic foundation for these topics and includes numerous applications and up-to-date techniques. 55 illus.
"Synopsis" by , 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.
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