9783843383264 - Analysis over Cayley-Dickson numbers and its applications: Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational ca... (2 Ergebnisse)

Taschenbuch. Zustand: Neu. Analysis over Cayley-Dickson numbers and its applications | Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus | Sergey Ludkovsky | Taschenbuch | 336 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783843383264 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 336 | Sprache: Englisch | Produktart: Bücher | 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.