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Monogenic Functions in Spaces with Commutative Multiplication and Applications

Name: Monogenic Functions in Spaces with Commutative Multiplication and Applications
Brand: Springer Nature B.V.
SKU: 50452868
Price: 56.79 EUR
Availability: InStock
Author: Sergiy A. Plaksa
ISBN: 9783031322556

Sergiy A. Plaksa

Vitalii S. Shpakivskyi

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 50452868

Nakladateľstvo Springer Nature B.V., júl 2023

This monograph develops a theory of continuous and differentiable functions, called monogenic functi... Celý popis

Libristo kód: 50452868

138 b

56.79 €

Skladom u dodávateľa Odosielame za 10-18 dní

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This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics.

The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics.

Graduate students and researchers alike benefit from this book.