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EBSCO_ocn825768812 |
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130129s2000 si a ob 001 0 eng d |
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|a 853362068
|a 1086430791
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|a 9789812793966
|q (electronic bk.)
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|a TK454.2
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|a 621.3/01/51535
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|a UAMI
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100 |
1 |
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|a Curtis, Edward B.,
|d 1933-
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245 |
1 |
0 |
|a Inverse problems for electrical networks /
|c Edward B. Curtis, James A. Morrow.
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260 |
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|a Singapore ;
|a [River Edge], NJ :
|b World Scientific,
|c 2000.
|
300 |
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|a 1 online resource (xi, 184 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
|
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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490 |
1 |
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|a Series on applied mathematics ;
|v v. 13
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|a Includes bibliographical references (pages 181-182) and index.
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0 |
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|g 1.
|t Introduction --
|g 2.
|t Circular Planar Graphs --
|g 3.
|t Resistor Networks --
|g 4.
|t Harmonic Functions --
|g 5.
|t Characterization I --
|g 6.
|t Adjoining Edges --
|g 7.
|t Characterization II --
|g 8.
|t Medial Graphs --
|g 9.
|t Recovering a Graph --
|g 10.
|t Layered Networks.
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0 |
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|a Print version record.
|
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|a 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.
|
590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Electric networks.
|
650 |
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0 |
|a Inverse problems (Differential equations)
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650 |
|
0 |
|a Matrices.
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650 |
|
6 |
|a Réseaux électriques (Circuits)
|
650 |
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6 |
|a Problèmes inverses (Équations différentielles)
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650 |
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6 |
|a Matrices.
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650 |
|
7 |
|a TECHNOLOGY & ENGINEERING
|x Electrical.
|2 bisacsh
|
650 |
|
7 |
|a Electric networks.
|2 fast
|0 (OCoLC)fst00905339
|
650 |
|
7 |
|a Inverse problems (Differential equations)
|2 fast
|0 (OCoLC)fst00978098
|
650 |
|
7 |
|a Matrices.
|2 fast
|0 (OCoLC)fst01012399
|
700 |
1 |
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|a Morrow, James A.,
|d 1941-
|
776 |
0 |
8 |
|i Print version:
|a Curtis, Edward B., 1933-
|t Inverse problems for electrical networks.
|d Singapore ; [River Edge], NJ : World Scientific, 2000
|z 9810241747
|w (DLC) 99053875
|w (OCoLC)42692189
|
830 |
|
0 |
|a Series on applied mathematics ;
|v v. 13.
|
856 |
4 |
0 |
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