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Analysis over Cayley-Dickson numbers and its applications: Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus - Couverture souple
Synopsis
The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy's theorem, Hurtwitz', argument principle, Mittag-Leffler's, Rouche's and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms.
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Présentation de l'éditeur
The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy's theorem, Hurtwitz', argument principle, Mittag-Leffler's, Rouche's and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms.
Biographie de l'auteur
LUDKOVSKY SERGEY VICTOR was born on the 08-th of January 1960 in Moscow, Russia, had graduated Department of Mathematics of the Moscow State University (M.V. Lomonosov), had received the Ph. Dr. degree in November 1987, Professor at Department of Applied Mathematics of the Moscow State Technical University MIREA.
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Analysis over Cayley-Dickson numbers and its applications : Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
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Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Hervorragend. Zustand: Hervorragend | Seiten: 336 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 10025510/1
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Analysis over Cayley-Dickson numbers and its applications
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
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Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Ludkovsky SergeyLUDKOVSKY SERGEY VICTOR was born on the 08-th of January 1960 in Moscow, Russia, had graduated Department of Mathematics of the Moscow State University (M.V. Lomonosov), had received the Ph. Dr. degree in November . N° de réf. du vendeur 5468174
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Analysis over Cayley-Dickson numbers and its applications : Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy's theorem, Hurtwitz', argument principle, Mittag-Leffler's, Rouche's and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms. N° de réf. du vendeur 9783843383264
Quantité disponible : 1 disponible(s)
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Analysis over Cayley-Dickson numbers and its applications
Edité par
LAP LAMBERT Academic Publishing Dez 2010, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy's theorem, Hurtwitz', argument principle, Mittag-Leffler's, Rouche's and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms. 336 pp. Englisch. N° de réf. du vendeur 9783843383264
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Analysis over Cayley-Dickson numbers and its applications
Edité par
LAP LAMBERT Academic Publishing Dez 2010, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy''s theorem, Hurtwitz'', argument principle, Mittag-Leffler''s, Rouche''s and Weierstrass'' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms.Books on Demand GmbH, Überseering 33, 22297 Hamburg 336 pp. Englisch. N° de réf. du vendeur 9783843383264
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Analysis Over Cayley-Dickson Numbers and Its Applications
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
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Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 336. N° de réf. du vendeur 26128840236
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Analysis Over Cayley-Dickson Numbers and Its Applications
Edité par
VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
Couverture souple
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 336. N° de réf. du vendeur 18128840230
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Analysis Over Cayley-Dickson Numbers and Its Applications
Edité par
VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
Neuf
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Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 336 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. N° de réf. du vendeur 131747315
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Analysis over Cayley-Dickson numbers and its applications: Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 384338326X
ISBN 13 : 9783843383264
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