{"product_id":"analysis-over-cayley-dickson-numbers-and-its-applications-von-sergey-ludkovsky","title":"Analysis over Cayley-Dickson numbers and its applications","description":"\u003cp\u003eThe 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843383264\"\u003e\u003ch3\u003eHypercomplex holomorphic functions, meromorphic functions, partial differential equations,  operational calculus\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843383264","offer_id":39469946699869,"sku":"9783843383264","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/f179d6c5-25db-4b81-82fe-6076d88be48c.jpg?v=1772780864","url":"https:\/\/shop.autorenwelt.de\/en\/products\/analysis-over-cayley-dickson-numbers-and-its-applications-von-sergey-ludkovsky","provider":"Autorenwelt Shop","version":"1.0","type":"link"}