Articles liés à Infinite Electrical Networks

Infinite Electrical Networks - Couverture rigide

Zemanian, Armen H.

 
9780521401531: Infinite Electrical Networks
Couverture rigide
ISBN 10 : 0521401534 ISBN 13 : 9780521401531
Editeur : Cambridge University Press, 1991

Synopsis

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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Présentation de l'éditeur

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.

Revue de presse

"...The book would make a fine Graduate level text for Electrical Engineers; it would also be useful for students in applied mathematics as a guide to possible research topics." Andrew Booth, Physics in Canada

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1991
Langue
anglais
ISBN 10 
0521401534
ISBN 13 
9780521401531
Reliure
Relié
Nombre de pages
324
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

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