Inverse problems for electrical networks /:
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 equatio...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; [River Edge], NJ :
World Scientific,
2000.
|
| Schriftenreihe: | Series on applied mathematics ;
v. 13. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xi, 184 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 181-182) and index. |
| ISBN: | 9789812793966 9812793968 |
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| 505 | 0 | 0 | |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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| 520 | |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. | ||
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| author | Curtis, Edward B., 1933- |
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| contents | Introduction -- Circular Planar Graphs -- Resistor Networks -- Harmonic Functions -- Characterization I -- Adjoining Edges -- Characterization II -- Medial Graphs -- Recovering a Graph -- Layered Networks. |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:09Z |
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| isbn | 9789812793966 9812793968 |
| language | English |
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| spelling | Curtis, Edward B., 1933- https://id.oclc.org/worldcat/entity/E39PBJhCBHg9JCM4Mt6RxRY3wC http://id.loc.gov/authorities/names/n99254979 Inverse problems for electrical networks / Edward B. Curtis, James A. Morrow. Singapore ; [River Edge], NJ : World Scientific, 2000. 1 online resource (xi, 184 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on applied mathematics ; v. 13 Includes bibliographical references (pages 181-182) and index. 1. Introduction -- 2. Circular Planar Graphs -- 3. Resistor Networks -- 4. Harmonic Functions -- 5. Characterization I -- 6. Adjoining Edges -- 7. Characterization II -- 8. Medial Graphs -- 9. Recovering a Graph -- 10. Layered Networks. Print version record. 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. Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Problèmes inverses (Équations différentielles) Matrices. TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric networks fast Inverse problems (Differential equations) fast Matrices fast Morrow, James A., 1941- https://id.oclc.org/worldcat/entity/E39PBJkTc96DV9cHTBQCKJ6Yfq http://id.loc.gov/authorities/names/n99254978 Print version: Curtis, Edward B., 1933- Inverse problems for electrical networks. Singapore ; [River Edge], NJ : World Scientific, 2000 9810241747 (DLC) 99053875 (OCoLC)42692189 Series on applied mathematics ; v. 13. http://id.loc.gov/authorities/names/n93008796 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=519185 Volltext |
| spellingShingle | Curtis, Edward B., 1933- Inverse problems for electrical networks / Series on applied mathematics ; Introduction -- Circular Planar Graphs -- Resistor Networks -- Harmonic Functions -- Characterization I -- Adjoining Edges -- Characterization II -- Medial Graphs -- Recovering a Graph -- Layered Networks. Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Problèmes inverses (Équations différentielles) Matrices. TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric networks fast Inverse problems (Differential equations) fast Matrices fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85041866 http://id.loc.gov/authorities/subjects/sh85067684 http://id.loc.gov/authorities/subjects/sh85082210 |
| title | Inverse problems for electrical networks / |
| title_alt | Introduction -- Circular Planar Graphs -- Resistor Networks -- Harmonic Functions -- Characterization I -- Adjoining Edges -- Characterization II -- Medial Graphs -- Recovering a Graph -- Layered Networks. |
| title_auth | Inverse problems for electrical networks / |
| title_exact_search | Inverse problems for electrical networks / |
| title_full | Inverse problems for electrical networks / Edward B. Curtis, James A. Morrow. |
| title_fullStr | Inverse problems for electrical networks / Edward B. Curtis, James A. Morrow. |
| title_full_unstemmed | Inverse problems for electrical networks / Edward B. Curtis, James A. Morrow. |
| title_short | Inverse problems for electrical networks / |
| title_sort | inverse problems for electrical networks |
| topic | Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Problèmes inverses (Équations différentielles) Matrices. TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric networks fast Inverse problems (Differential equations) fast Matrices fast |
| topic_facet | Electric networks. Inverse problems (Differential equations) Matrices. Réseaux électriques (Circuits) Problèmes inverses (Équations différentielles) TECHNOLOGY & ENGINEERING Electrical. Electric networks Matrices |
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