Książka Infinite Electrical Networks Armen H. Zemanian

Infinite Electrical Networks

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-21 dni
593.21
This book presents the salient features of the general theory of infinite electrical networks in a c...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1991
strony
324
EAN
9780521401531
ISBN
0521401534
Enbook ID
02029674
Waga
664
Wymiary
236 x 161 x 25

Pełny opis

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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