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.Read more
- Includes the invention of transfinite networks
- Of interest to electrical engineers as well as mathematicians
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: May 2008
- format: Paperback
- isbn: 9780521063395
- length: 324 pages
- dimensions: 228 x 152 x 18 mm
- weight: 0.48kg
- contains: 93 b/w illus.
- availability: Available
Table of Contents
2. Infinite-power regimes
3. Finite-power regimes: the linear case
4. Finite-power regimes: the nonlinear case
5. Transfinite electrical networks
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×