Overview

This volume aims to acknowledge J. E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view.

Full Product Details

Author:   Paul Newton ,  Phil Holmes ,  Alan Weinstein
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.896kg
ISBN:  

9781441930347

ISBN 10:   1441930345
Pages:   571
Publication Date:   09 October 2011
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Elasticity and Analysis.- Some Open Problems in Elasticity.- Finite Elastoplasticity Lie Groups and Geodesics on SL(d).- Asynchronous Variational Integrators.- Fluid Mechanics.- Euler-Poincaré Dynamics of Perfect Complex Fluids.- The Lagrangian Averaged Euler (LAE-?) Equations with Free-Slip or Mixed Boundary Conditions.- Nearly Inviscid Faraday Waves.- The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows.- Dynamical Systems.- Patterns of Oscillation in Coupled Cell Systems.- Simple Choreographic Motions of N Bodies: A Preliminary Study.- On Normal Form Computations.- Geometric Mechanics.- The Optimal Momentum Map.- Combinatorial Formulas for Products of Thom Classes.- Gauge Theory of Small Vibrations in Polyatomic Molecules.- Geometric Control.- Symmetries, Conservation Laws, and Control.- Relativity and Quantum Mechanics.- Conformal Volume Collapse of 3-Manifolds and the Reduced Einstein Flow.- On Quantizing Semisimple Basic Algebras, I: sl(2, R).

Reviews

From the reviews: Geometric Mechanics (GM) is a basic way of thinking ... . most of the papers are very accessible with long introductions and good surveys of other contributions. ... Finally, the volume is typeset so beautifully in a unified format, that it is satisfying to hold the book and pleasing to look at the articles, as well as to read them. ... The volume is worth serious study, and it was well worth the long wait ... . (Darryl Holm, UK Nonlinear News, March, 2003)

From the reviews: Geometric Mechanics (GM) is a basic way of thinking ! . most of the papers are very accessible with long introductions and good surveys of other contributions. ! Finally, the volume is typeset so beautifully in a unified format, that it is satisfying to hold the book and pleasing to look at the articles, as well as to read them. ! The volume is worth serious study, and it was well worth the long wait ! . (Darryl Holm, UK Nonlinear News, March, 2003)

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