WorldCat Identities

Cushman, Richard H. 1942-

Overview
Works: 19 works in 81 publications in 1 language and 2,106 library holdings
Roles: Author, Collector, Contributor, Editor
Classifications: QA805, 531.0151
Publication Timeline
.
Most widely held works about Richard H Cushman
 
Most widely held works by Richard H Cushman
Global aspects of classical integrable systems by Richard H Cushman( Book )

25 editions published between 1997 and 2015 in English and held by 286 WorldCat member libraries worldwide

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis
Geometry of nonholonomically constrained systems by Richard H Cushman( Book )

19 editions published between 2009 and 2010 in English and held by 122 WorldCat member libraries worldwide

"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat." "The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields."--Jacket
Foundations of mechanics; a mathematical exposition of classical mechanics by Ralph Abraham( Book )

14 editions published between 1977 and 1994 in English and held by 57 WorldCat member libraries worldwide

Nathan A. Cushman : a rugged individualist (1869-1952)( Book )

1 edition published in 1984 in English and held by 16 WorldCat member libraries worldwide

Proceedings of the Pacific Institute of Mathematical Sciences workshop on nonholonomic constraints in dynamics : August 26-30, 1997 Calgary, Alberta, Canada by Workshop on Nonholonomic Constraints in Dynamics( Book )

4 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

Differential structure of orbit spaces by Richard H Cushman( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Lifted actions and the local geometry of orbit spaces by Richard H Cushman( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Nilpotent normal forms and representation theory of sl(2,R)+ by Richard H Cushman( Book )

1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide

Versal normal form at Lagrange equilibrium L4 by Richard H Cushman( Book )

2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide

Richard Cushman on the occasion of his 65th birthday( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator by Richard H Cushman( Book )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

Hyperbolic points of integrable area-preserving mappings of the 2-disk by Richard H Cushman( )

1 edition published in 1970 in English and held by 1 WorldCat member library worldwide

Classical integrable systems by Richard H Cushman( )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

Splitting algorithm for nilpotent normal forms by Richard H Cushman( Book )

2 editions published in 1987 in English and held by 1 WorldCat member library worldwide

Geometry of Nonholonomically Constrained Systems (Advanced series in nonlinear dynamics ; v. 26) by Jędrzej Śniatycki( Book )

1 edition published in 2010 in Undetermined and held by 1 WorldCat member library worldwide

In honor of Henk Broer for his 60th birthday( Book )

1 edition published in 2011 in English and held by 1 WorldCat member library worldwide

Structure of dynamical systems : a symplectic view of physics by J.-M Souriau( Book )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization. The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. The first tow chapters provide the necessary mathematical background in differential geometry, Lie groups, and symplectic geometry. In Chapter 3 a coherent symplectic description of Galilean and relativistic mechanics is given, culminating in the classification of elementary particles (relativistic and non-relativistic, with or without spin, with or without mass). In Chapter 4 statistical mechanics is put into symplectic form, finishing with a symplectic description of the kinetic theory of gases and the computation of specific heats. Finally, in Chapter 5 the author presents his theory of geometric quantization. Highlights of this chapter are the derivations of various wave equations and the construction of the Fock space
Normal form and representation theory by Richard H Cushman( )

1 edition published in 1982 in English and held by 0 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.49 (from 0.02 for Geometry o ... to 0.99 for Richard Cu ...)

Global aspects of classical integrable systems
Alternative Names
Cushman, R. H.

Cushman, Richard

Cushman Richard 1942-....

Cushman, Richard H.

Languages
English (80)

Covers
Geometry of nonholonomically constrained systemsFoundations of mechanics; a mathematical exposition of classical mechanicsStructure of dynamical systems : a symplectic view of physics