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. ...
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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.
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First edition, first printing, 324 pp., Hardcover, fine in a faded and lightly worn dust jacket. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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Very good- jacket. A nice copy. Clean text, solid binding. Dust jacket has some edgewear but still bright. Minor shelfwear and rubbing. Dust Jacket protected by mylar cover. Mark on rear dj due to a sticker being removed.
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Fine. Books In Good Condition. May Have a Small Publisher Mark. Ship Via Fedex. Shipping Time 7 To 10 Days. Bookseller With Over 20 Years In Book Trade.
