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Infinite Electrical Networks
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Infinite Electrical Networks

Book Details

Format Hardback
ISBN-10 0521401534
ISBN-13 9780521401531
Publisher Cambridge University Press
Imprint Cambridge University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Nov 29th, 1991
Print length 324 Pages
Weight 664 grams
Dimensions 16.10 x 23.60 x 2.50 cms
KSh 20,000.00
Currently unavailable 0 in stock

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This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.
This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other areas of mathematics. The first half of the book presents existence and uniqueness theorems for both infinite-power and finite-power voltage-current regimes, and the second half discusses methods for solving problems in infinite cascades and grids. A notable feature is the invention of transfinite networks, roughly analogous to Cantor's extension of the natural numbers to the transfinite ordinals. The last chapter is a survey of application to exterior problems of partial differential equations, random walks on infinite graphs, and networks of operators on Hilbert spaces.

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