Kupershmidt, Boris A. 1946
Overview
Works:  7 works in 69 publications in 2 languages and 1,159 library holdings 

Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Boris A Kupershmidt
KP or mKP : noncommutative mathematics of Lagrangian, Hamiltonian, and integrable systems by
Boris A Kupershmidt(
Book
)
13 editions published in 2000 in English and held by 298 WorldCat member libraries worldwide
13 editions published in 2000 in English and held by 298 WorldCat member libraries worldwide
Elements of superintegrable systems : basic techniques and results by
Boris A Kupershmidt(
Book
)
15 editions published in 1987 in English and held by 222 WorldCat member libraries worldwide
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hennit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
15 editions published in 1987 in English and held by 222 WorldCat member libraries worldwide
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hennit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
The variational principles of dynamics by
Boris A Kupershmidt(
Book
)
12 editions published between 1992 and 1998 in English and held by 213 WorldCat member libraries worldwide
12 editions published between 1992 and 1998 in English and held by 213 WorldCat member libraries worldwide
Discrete Lax equations and differentialdifference calculus by
Boris A Kupershmidt(
Book
)
15 editions published between 1982 and 1985 in English and French and held by 168 WorldCat member libraries worldwide
15 editions published between 1982 and 1985 in English and French and held by 168 WorldCat member libraries worldwide
Integrable and superintegrable systems by
Boris A Kupershmidt(
Book
)
11 editions published in 1990 in English and held by 124 WorldCat member libraries worldwide
The main Soliton Theorem / I. Cherednik  Functional Bethe Ansatz / E.K. Sklyanin  Integrability in models of twodimensional turbulence / Y. Murometz and S. Razboynick  Solitons, numerical chaos and cellular automata / M.J. Ablowitz, B.M. Herbst, and J.M. Keiser  The unstable nonlinear Schrödinger equation / T. Yajima and M. Wadati  Classification of integrable equations / R.K. Dodd  List of all integrable Hamiltonian systems of general type with two degrees of freedom. "Physical Zone'' in this table / A.T. Fomenko  Finitedimensional Soliton systems / S.N.M. Ruijsenaars  Relativistic analogs of basic integrable systems / J. Gibbons and B.A. Kupershmidt  Liouville generating functions for Isospectral flow in loop algebras / M.R. Adams, J. Harnad, and J. Hurtubise  A loop algebra decomposition for Kortewegde Vries equations / R.J. Schilling  Energy dependent spectral problems: their Hamiltonian structures and Miura maps / A.P. Fordy  Commuting differential operators over integrable hierarchies / F. Guil  Lie superalgebra structure on Eigenfunctions, and jets of the resolvent's kernel near the diagonal of an nth order ordinary differential operator / T. Khovanova  Superstring Schwartz derivative and the Bott cocycle / A.O. Radul  Super Miura transformations, super Schwarzian derviatives and super hill operators / P. Mathieu
11 editions published in 1990 in English and held by 124 WorldCat member libraries worldwide
The main Soliton Theorem / I. Cherednik  Functional Bethe Ansatz / E.K. Sklyanin  Integrability in models of twodimensional turbulence / Y. Murometz and S. Razboynick  Solitons, numerical chaos and cellular automata / M.J. Ablowitz, B.M. Herbst, and J.M. Keiser  The unstable nonlinear Schrödinger equation / T. Yajima and M. Wadati  Classification of integrable equations / R.K. Dodd  List of all integrable Hamiltonian systems of general type with two degrees of freedom. "Physical Zone'' in this table / A.T. Fomenko  Finitedimensional Soliton systems / S.N.M. Ruijsenaars  Relativistic analogs of basic integrable systems / J. Gibbons and B.A. Kupershmidt  Liouville generating functions for Isospectral flow in loop algebras / M.R. Adams, J. Harnad, and J. Hurtubise  A loop algebra decomposition for Kortewegde Vries equations / R.J. Schilling  Energy dependent spectral problems: their Hamiltonian structures and Miura maps / A.P. Fordy  Commuting differential operators over integrable hierarchies / F. Guil  Lie superalgebra structure on Eigenfunctions, and jets of the resolvent's kernel near the diagonal of an nth order ordinary differential operator / T. Khovanova  Superstring Schwartz derivative and the Bott cocycle / A.O. Radul  Super Miura transformations, super Schwarzian derviatives and super hill operators / P. Mathieu
Geometry of jet bundles and the structure of Lagrangian and Hamiltonian formalisms by
Boris A Kupershmidt(
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
Noncommutative mathematics of Lagrangian, Hamiltonian, and integrable systems by
Boris A Kupershmidt(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Audience Level
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Associated Subjects
Calculus of variations Differentialdifference equations Differential equations, Partial Dynamics Field theory (Physics) Global analysis (Mathematics) Hamiltonian operator Hamiltonian systems Jet bundles (Mathematics) Lagrangian functions Lie algebras Mathematical physics Mathematics Noncommutative differential geometry Nonlinear theories Solitons Variational principles