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Field name	Details
Dewey Class	515
Title	Elements of Superintegrable Systems ([EBook]) : Basic Techniques and Results / by B. A. Kupershmidt.
Author	Kupershmidt, Boris A. , 1946-
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1987.
Physical Details	XVI, 187 pages : online resource.
Series	Mathematics and its applications ; 34
ISBN	9789400937994
Summary 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.:
Contents 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-009-3799-4
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Physics . Theoretical, Mathematical and Computational Physics . Authors: Kupershmidt, Boris A. 1946- . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 515 .

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Elements of Superintegrable Systems: Basic Techniques and Results

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