Téléchargez le livre : Monogenic Functions in Spaces with Commutative Multiplication and Applications

Monogenic Functions in Spaces with Commutative Multiplication and Applications

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2023-07-18

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Description
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.
Pages
550 pages
Collection
Frontiers in Mathematics
Parution
2023-07-18
Marque
Birkhäuser
EAN papier
9783031322563
EAN PDF
9783031322549
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
13445 Ko
Prix
58,01 €
EAN EPUB
9783031322549
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
41769 Ko
Prix
58,01 €

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