Boris A Kupershmidt's Books

The Variational Principles of Dynamics

By: Boris A Kupershmidt

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Variational Principles of Dynamics

By: Boris A Kupershmidt

Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader. Request Inspection Copy

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

444

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813103655

ISBN 13

9789813103658

Integrable and Superintegrable Systems

By: Boris A. Kupershmidt

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integrable and Superintegrable Systems

By: Boris A. Kupershmidt

Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

402

Publisher

World Scientific

Published Date

ISBN 10

9810203160

ISBN 13

9789810203160

KP or mKP

Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems

By: Boris A. Kupershmidt

Write a review Read reviews Take a Quiz Solve Book Puzzle

KP or mKP

Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems

By: Boris A. Kupershmidt

This book develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in particular; Hamiltonian formalism; variational calculus, both in continuous space and discrete. The text is self-contained and includes a large number of exercises. Many different specific models are analysed extensively and motivations for the new notions are provided.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

623

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821814001

ISBN 13

9780821814000

Integrable Systems and Quantum Groups

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

By: Ron Donagi,Boris Dubrovin,Edward Frenkel,Emma Previato

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integrable Systems and Quantum Groups

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

By: Ron Donagi,Boris Dubrovin,Edward Frenkel,Emma Previato

The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

496

Publisher

Springer

Published Date

ISBN 10

3540477063

ISBN 13

9783540477068

The Geometry of Infinite-Dimensional Groups

By: Boris Khesin,Robert Wendt

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Geometry of Infinite-Dimensional Groups

By: Boris Khesin,Robert Wendt

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

304

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540772634

ISBN 13

9783540772637

Topological Methods in Hydrodynamics

By: Vladimir I. Arnold,Boris A. Khesin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Topological Methods in Hydrodynamics

By: Vladimir I. Arnold,Boris A. Khesin

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

455

Publisher

Springer Nature

Published Date

ISBN 10

3030742784

ISBN 13

9783030742782

KP or mKP

Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems

By: Boris A. Kupershmidt

Write a review Read reviews Take a Quiz Solve Book Puzzle

KP or mKP

Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems

By: Boris A. Kupershmidt

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

623

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821814001

ISBN 13

9780821814000

Book's by Boris A Kupershmidt

The Variational Principles of Dynamics

The Variational Principles of Dynamics

Integrable and Superintegrable Systems

Integrable and Superintegrable Systems

KP or mKP

KP or mKP

Integrable Systems and Quantum Groups

Integrable Systems and Quantum Groups

The Geometry of Infinite-Dimensional Groups

The Geometry of Infinite-Dimensional Groups

Topological Methods in Hydrodynamics

Topological Methods in Hydrodynamics

KP or mKP

KP or mKP

Username

Password

Username

Password

Password again

Birthday

Email