عنوان

Elements of Superintegrable Systems :

(Number (ISBN

9400937997

(Number (ISBN

9789400937994

Number

b593199

Title Proper

Elements of Superintegrable Systems :

General Material Designation

[Book]

Other Title Information

Basic Techniques and Results

First Statement of Responsibility

by B. A. Kupershmidt.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1987

Specific Material Designation and Extent of Item

(XVI, 187 p. :)

Series Title

Mathematics and Its Applications, 34.

Text of Note

Bibliographic Level Mode of Issuance: Monograph.

Text of Note

I. Classical Superintegrable Systems --; §1. Introduction --; §2. Variational Calculus with Anticommuting Variables --; §3. SuperHamiltonian Formalism and Infinite-Dimensional Stable Lie Superalgebras --; §4. Residue Calculus in Modules of Differential Forms over Superalgebras of Pseudo-Differential Operators --; §5. Classical Superintegrable Systems --; §6. Variational Derivatives of Conservation Laws and the SuperHamiltonian Structure of Classical Superintegrable Systems --; II. Lie Algebras, Korteweg-De Vries Equations, and Bi-Superhamiltonian Systems --; §7. Three Constructions --; §8. Lie-Algebraic Identities --; §9. Bi-SuperHamiltonian Systems --; Appendix. Metrizable Lie Algebras --; Sources.

Text of Note

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 (non-trivially) 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 large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Parallel Title

Mathematics and Its Applications, vol. 34

Analysis (Mathematics).

Mathematical analysis.

Mathematics.

Class number

Book number

by B. A. Kupershmidt.

B A Kupershmidt

Electronic name

[Book]

Y