Inverse problems for electrical networks
著者
書誌事項
Inverse problems for electrical networks
（Series on applied mathematics, v. 13）
World Scientific, c2000
大学図書館所蔵 件 / 全12件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Bibliography: p. 181-182
Includes index
内容説明・目次
内容説明
This book is a very timely exposition of part of an important subject which goes under the general name of “inverse problems”. The analogous problem for continuous media has been very much studied, with a great deal of difficult mathematics involved, especially partial differential equations. Some of the researchers working on the inverse conductivity problem for continuous media (the problem of recovering the conductivity inside from measurements on the outside) have taken an interest in the authors' analysis of this similar problem for resistor networks.The authors' treatment of inverse problems for electrical networks is at a fairly elementary level. It is accessible to advanced undergraduates, and mathematics students at the graduate level. The topics are of interest to mathematicians working on inverse problems, and possibly to electrical engineers. A few techniques from other areas of mathematics have been brought together in the treatment. It is this amalgamation of such topics as graph theory, medial graphs and matrix algebra, as well as the analogy to inverse problems for partial differential equations, that makes the book both original and interesting.
目次
- Circular planar graphs
- resistor networks
- harmonic functions
- characterization I
- adjoining edges
- characterization II
- medial graphs
- recovering a graph
- layered networks.
「Nielsen BookData」 より