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Infinite Electrical Networks

Language EnglishEnglish
Book Paperback
Book Infinite Electrical Networks Armen H. Zemanian
Libristo code: 02020247
Publishers Cambridge University Press, May 2008
This book presents the salient features of the general theory of infinite electrical networks in a c... Full description
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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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About the book

Full name Infinite Electrical Networks
Language English
Binding Book - Paperback
Date of issue 2008
Number of pages 324
EAN 9780521063395
ISBN 0521063396
Libristo code 02020247
Weight 480
Dimensions 152 x 228 x 18
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