WorldCat Identities

Holm, Darryl D.

Overview
Works: 52 works in 165 publications in 1 language and 2,379 library holdings
Genres: Conference proceedings  Textbooks  History 
Roles: Author, Editor, Honoree
Classifications: QA377, 531.01516
Publication Timeline
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Most widely held works by Darryl D Holm
Nonlinear systems of partial differential equations in applied mathematics by Summer seminar on systems of nonlinear partial differential equations in applied mathematics( Book )

10 editions published between 1985 and 1986 in English and Undetermined and held by 288 WorldCat member libraries worldwide

Crossover-time in quantum boson and spin systems by Gennady P Berman( Book )

11 editions published between 1994 and 2013 in English and held by 246 WorldCat member libraries worldwide

The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists
Geometric mechanics by Darryl D Holm( Book )

20 editions published between 2008 and 2011 in English and held by 234 WorldCat member libraries worldwide

Advanced undergraduate and graduate students in mathematics, physics and engineering
Geometric mechanics, and symmetry : from finite to infinite dimensions by Darryl D Holm( Book )

18 editions published in 2009 in English and held by 186 WorldCat member libraries worldwide

After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group threory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyse the Euler-Poincaré equations
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics by Darryl D Holm( Book )

10 editions published in 1986 in English and held by 155 WorldCat member libraries worldwide

Geometric mechanics by Darryl D Holm( Book )

17 editions published between 2008 and 2011 in English and Undetermined and held by 46 WorldCat member libraries worldwide

The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Lie-group symmetries. The book includes an appendix, containing both introductory examples and enhanced coursework problems
Nonlinear Evolution Equations & Dynamical Systems : NEEDS '94 by Workshop on Nonlinear Evolution Equations and Dynamical Systems( Book )

1 edition published in 1995 in English and held by 45 WorldCat member libraries worldwide

Geometric mechanics by Darryl D Holm( Book )

13 editions published between 2008 and 2011 in English and Undetermined and held by 42 WorldCat member libraries worldwide

This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler-Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. Variational calculus on tangent spaces of Lie groups is explained in the context of familiar concrete examples. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, and then transferring these skills to the computation of more abstract adjoint and coadjoint motions, Lie-Poisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints. The 120 Exercises and 55 Worked Answers help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of geometric mechanics. In addition, all theorems are stated and proved explicitly. The book's many examples and worked exercises make it ideal for both classroom use and self-study
Nonlinear phenomena in ocean dynamics : special issue originating from the 15th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, USA, 15-19 May 1995 by Center for Nonlinear Studies (Los Alamos National Laboratory)( Book )

7 editions published in 1996 in English and held by 20 WorldCat member libraries worldwide

Nonlinear systems of partial differential equations in applied mathematics by SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics( Book )

5 editions published in 1986 in English and Undetermined and held by 14 WorldCat member libraries worldwide

Nonlinear systems of partial differential equations in applied mathematics by SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics( Book )

4 editions published in 1986 in English and Undetermined and held by 13 WorldCat member libraries worldwide

Dynamics and symmetry by Darryl D Holm( Book )

1 edition published in 2008 in English and held by 13 WorldCat member libraries worldwide

Hamiltonian chaos in nonlinear optical polarization dynamics by D David( Book )

4 editions published between 1988 and 1990 in English and Undetermined and held by 11 WorldCat member libraries worldwide

Nonlinear stability of fluid and plasma equilibria by Darryl D Holm( Book )

2 editions published in 1985 in English and held by 7 WorldCat member libraries worldwide

Nonlinear phenomena in ocean dynamics ; special issue originating from the 15th annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, USA, 15-10 May 1995 by International Conference of the Center for Nonlinear Studies( Book )

1 edition published in 1996 in English and held by 6 WorldCat member libraries worldwide

Geometric mechanics by Darryl D Holm( Book )

2 editions published in 2011 in English and held by 6 WorldCat member libraries worldwide

Geometry, symmetry, and mechanics by Darryl D Holm( Book )

1 edition published in 2009 in English and held by 5 WorldCat member libraries worldwide

Rotating, translating and rolling by Darryl D Holm( Book )

1 edition published in 2008 in English and held by 5 WorldCat member libraries worldwide

Geometry, mechanics, and dynamics : the legacy of jerry marsden by Dong Eui Chang( )

2 editions published in 2015 in English and held by 0 WorldCat member libraries worldwide

 
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Audience level: 0.62 (from 0.08 for Geometric ... to 0.92 for Dynamics a ...)

Geometric mechanicsDynamics and symmetry
Alternative Names
Holm, D. D.

Holm, D. D. 1947-

Holm, D. D. (Darryl D.)

Holm, D. D. (Darryl D.), 1947-

Languages
English (125)

Covers
Geometric mechanics, and symmetry : from finite to infinite dimensionsGeometric mechanicsGeometric mechanicsDynamics and symmetryGeometry, symmetry, and mechanicsRotating, translating and rolling