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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis

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Analysis Over Cayley-Dickson Numbers and Its Applications (Paperback) Loot Price: R1,677
Discovery Miles 16 770
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Analysis Over Cayley-Dickson Numbers and Its Applications (Paperback): Sergey Ludkovsky

Analysis Over Cayley-Dickson Numbers and Its Applications (Paperback)

Sergey Ludkovsky

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Loot Price R1,677 Discovery Miles 16 770 | Repayment Terms: R156 pm x 12*

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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.

General

Imprint: Lap Lambert Academic Publishing
Country of origin: Germany
Release date: December 2010
First published: December 2010
Authors: Sergey Ludkovsky
Dimensions: 229 x 152 x 19mm (L x W x T)
Format: Paperback - Trade
Pages: 336
ISBN-13: 978-3-8433-8326-4
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN: 3-8433-8326-X
Barcode: 9783843383264

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