Infinite Electrical Networks
eBook - PDF

Infinite Electrical Networks

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Infinite Electrical Networks

About this book

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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Yes, you can access Infinite Electrical Networks by Armen H. Zemanian in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Frontmatter
  3. Contents
  4. Preface
  5. Acknowledgments
  6. Introduction
  7. Infinite-power Regimes
  8. Finite-power Regimes: The Linear Case
  9. Finite-power Regimes: The Nonlinear Case
  10. Transfinite Electrical Networks
  11. Cascades
  12. Grids
  13. Applications
  14. Bibliography
  15. Index of Symbols
  16. Index