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Infinite Electrical Networks

Name: Infinite Electrical Networks
Brand: Cambridge University Press
SKU: 02029674
Price: 128.69 EUR
Availability: InStock
Author: Armen H. Zemanian
ISBN: 9780521401531

Armen H. Zemanian

Língua

Inglês

Livro Livro de capa dura

Código Libristo: 02029674

Editoras Cambridge University Press, novembro 1991

This book presents the salient features of the general theory of infinite electrical networks in a c... Descrição completa

Código Libristo: 02029674

312 b

128.69 €

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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.