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Infinite Electrical Networks

TaschenbuchKartoniert, Paperback
324 Seiten
Englisch
Cambridge University Presserschienen am01.03.2008
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.mehr

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-0-521-06339-5
ProduktartTaschenbuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2008
Erscheinungsdatum01.03.2008
Seiten324 Seiten
SpracheEnglisch
MasseBreite 152 mm, Höhe 229 mm, Dicke 19 mm
Gewicht528 g
Artikel-Nr.14504047

Inhalt/Kritik

Inhaltsverzeichnis
1. Introduction; 2. Infinite-power regimes; 3. Finite-power regimes: the linear case; 4. Finite-power regimes: the nonlinear case; 5. Transfinite electrical networks; 6. Cascades; 7. Grids; 8. Applications.mehr