Lectures on Mechanics

Häftad, Engelska, 1992

Del 174 i serien London Mathematical Society Lecture Note Series

875 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

The use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, including the double spherical pendulum and the classical rotating water molecule. This book, based on the 1991 LMS Invited Lectures, will be valued by pure and applied mathematicians, physicists and engineers who work in geometry, nonlinear dynamics, mechanics, and robotics.

Produktinformation

Utgivningsdatum:1992-04-30
Mått:152 x 228 x 19 mm
Vikt:387 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:268
Förlag:Cambridge University Press
ISBN:9780521428446

Utforska kategorier

Recensioner i media

"...centres around symmetry and symplectic quotients. Many examples are given illustrating the utility and relevance of symplectic quotients....readable and stimulating." Michael Atiyah, Bulletin of the American Mathematical Society

Innehållsförteckning

1. Introduction; 2. A crash course in geometric mechanics; 3. Cotangent bundle reduction; 4. Relative equilibria; 5. The energy-momentum method; 6. Geometric phases; 7. Stabilization and control; 8. Discrete reduction; 9. Mechanical integrators; 10. Hamiltonian bifurcations; References.

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Lectures on Mechanics

AvJerrold E. Marsden,J. W. S. Cassels

Häftad, Engelska, 1992

Del 174 i serien London Mathematical Society Lecture Note Series

875 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:1992-04-30
Mått:152 x 228 x 19 mm
Vikt:387 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:268
Förlag:Cambridge University Press
ISBN:9780521428446

Utforska kategorier

Recensioner i media

Innehållsförteckning

1. Introduction; 2. A crash course in geometric mechanics; 3. Cotangent bundle reduction; 4. Relative equilibria; 5. The energy-momentum method; 6. Geometric phases; 7. Stabilization and control; 8. Discrete reduction; 9. Mechanical integrators; 10. Hamiltonian bifurcations; References.

Mer från samma författare

Del 75

Manifolds, Tensor Analysis, and Applications

Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu

Inbunden, 1988

1 544 kr

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Inbunden, 1999

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Perspectives and Problems in Nonlinear Science

Ehud Kaplan, Jerrold E. Marsden, Katepalli R. Sreenivasan

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718 kr

Introduction to Mechanics and Symmetry

Tudor S. Ratiu, Jerrold E. Marsden

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1 037 kr

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Mathematical Introduction to Fluid Mechanics

Alexandre J. Chorin, Jerrold E. Marsden

Inbunden, 1993

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Basic Multivariable Calculus

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Inbunden, 1993

775 kr

Elementary Classical Analysis

Jerrold E. Marsden, Michael J. Hoffman

Inbunden, 1993

1 264 kr

Breadth of Symplectic and Poisson Geometry

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1 763 kr

Breadth of Symplectic and Poisson Geometry

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E-bok

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2 201 kr

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Del 177

Applications of Categories in Computer Science

M. P. Fourman, P. T. Johnstone, A. M. Pitts

Häftad, 1992

1 024 kr

Del 34

Representation Theory of Lie Groups

M. F. Atiyah, R. Bott, S. Helgason, D. Kazhdan, B. Kostant, G. Lustztig

Häftad, 1980

1 322 kr

Del 69

Representation Theory

M. I. Graev, I. N. Bernstein, I. M. Gelfand

Häftad, 1982

1 159 kr

Del 427

Recent Advances in Hodge Theory

Matt Kerr, Gregory Pearlstein

Häftad, 2016

1 226 kr

Del 288

Surveys in Combinatorics, 2001

J. W. P. Hirschfeld

Häftad, 2001

1 006 kr

Del 284

Foundations of Computational Mathematics

DeVore Iserles Suli, DeVore/Iserles/Suli, Ronald Devore, Arieh Iserles, Endre Süli

Häftad, 2001

1 006 kr

Del 286

Clifford Algebras and Spinors

Pertti Lounesto, J. W. S. Cassels, N. J. Hitchin

Häftad, 2001

919 kr

Del 289

Aspects of Sobolev-Type Inequalities

Laurent Saloff-Coste

Häftad, 2001

706 kr

Del 290

Quantum Groups and Lie Theory

Andrew Pressley

Häftad, 2002

706 kr

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A Quantum Groups Primer

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Häftad, 2002

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Häftad, 1990

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Del 46

P-adic Analysis

Neal Koblitz, J. W. S. Cassels, N. J. Hitchin

Häftad, 1980

820 kr

Del 301

Stable Modules and the D(2)-Problem

F. E. A. Johnson, J. W. S. Cassels, N. J. Hitchin

Häftad, 2003

1 069 kr

Del 282

Auslander-Buchweitz Approximations of Equivariant Modules

Mitsuyasu Hashimoto, J. W. S. Cassels, N. J. Hitchin

Häftad, 2000

1 069 kr

Del 14

Analytic Theory of Abelian Varieties

H. P. F. Swinnerton-Dyer, J. W. S. Cassels, N. J. Hitchin

Häftad, 1974

685 kr

Del 292

A Quantum Groups Primer

Shahn Majid, J. W. S. Cassels, N. J. Hitchin

Häftad, 2002

706 kr

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Invariant Potential Theory in the Unit Ball of Cn

Manfred Stoll, J. W. S. Cassels, N. J. Hitchin

Häftad, 1994

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Del 9

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Patrick Du Val, J. W. S. Cassels, N. J. Hitchin

Häftad, 1973

766 kr

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Introduction to Operator Space Theory

Gilles Pisier, J. W. S. Cassels, N. J. Hitchin

Häftad, 2003

1 682 kr