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Carte Infinite Electrical Networks Armen H. Zemanian

Infinite Electrical Networks

Autor: Armen H. Zemanian
Limbă: engleză
Legare: Copertă tare
Editura: Cambridge University Press
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
755.76 lei
This book presents the salient features of the general theory of infinite electrical networks in a c...

Informații despre carte

Autor
Armen H. Zemanian
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
1991
Pagini
324
EAN
9780521401531
ISBN
0521401534
Enbook ID
02029674
Editura
Cambridge University Press
Greutate
664
Dimensiuni
236 x 161 x 25

Descriere completă

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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