عنوان

Nonlinear Equations and Operator Algebras

(Number (ISBN

9400928874

(Number (ISBN

9789400928879

Number

b592982

Title Proper

Nonlinear Equations and Operator Algebras

General Material Designation

[Book]

First Statement of Responsibility

by Vladimir A. Marchenko.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1988

Specific Material Designation and Extent of Item

(180 pages)

Series Title

Mathematics and Its Applications, Soviet Series, 17.

Text of Note

1. General Scheme --; §1 Generalized Derivation and Logarithmic Derivatives --; §2 Examples of Nonlinear Equations --; §3 Projection Operation --; 2. Realization of the General Scheme in Matrix Rings and N-Soliton Solutions --; §1 Wronsky Matrices --; §2 Conditions of Invertibility of Some Wronsky Matrices --; §3 N-Soliton Solutions of Nonlinear Equations --; §4 Singular Solutions of Nonlinear Equations --; 3. Realization of the General Scheme in Operator Algebras --; §1 Extenstion of Algebra C?(B(H0) --; §2 Solving Linear Equations in Algebra C?(B(H)) --; §3 Additional Equations --; §4 Choice of Parameters --; §5 Properties of Logarithmic Derivatives with Respect to Conjunction Operation --; §6 Invertibility Conditions for Operators

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 Hermit 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.

Differential equations, Partial.

Mathematics.

Class number

Book number

by Vladimir A. Marchenko.

Vladimir A Marchenko

Electronic name

[Book]

Y