Hypercomplex Analysis Applications (102 results)

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Taschenbuch. Condition: 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.…

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Condition: New. Editor(s): Bernstein, Swanhild; Kahler, Uwe; Sabadini, Irene; Sommen, Frank. Series: Trends in Mathematics. Num Pages: 234 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 520. . 2014. Hardback. . . . .

Condition: New. This book gives an overview of recent results and developments in hypercomplex analysis presented at the 7th ISAAC Conference. Coverage includes the study of monogenic functions, Clifford analysis on superspace and discrete Clifford analysis. Editor(s): Sabadini, Irene; Sommen, Franciscus. Series: Trends in Mathematics. Num Pages: 292 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 18. Weight in Grams: 602. . 2010. Hardback. . . . . …

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Condition: 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.…

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.…

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields.The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.…

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.…