Electromagnetic theory and computation :: a topological approach /
Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, al...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
©2004.
|
| Schriftenreihe: | Mathematical Sciences Research Institute publications ;
48. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. |
| Beschreibung: | 1 online resource (ix, 278 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 261-266) and index. |
| ISBN: | 9781601197405 1601197403 0511216890 9780511216893 0511207948 9780511207945 051121510X 9780511215100 9780511756337 051175633X 9780511211522 051121152X 9780521175234 0521175232 1139882953 9781139882958 9786610541270 6610541272 0511315570 9780511315572 0511213298 9780511213298 |
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| 245 | 1 | 0 | |a Electromagnetic theory and computation : |b a topological approach / |c Paul W. Gross, P. Robert Kotiuga. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c ©2004. | ||
| 300 | |a 1 online resource (ix, 278 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 261-266) and index. | ||
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| 505 | 0 | |a 1. From vector calculus to algebraic topology -- 2. Quasistatic electromagnetic fields -- 3. Duality theorems for manifolds with boundary -- 4. The finite element method and data structures -- 5. Computing eddy currents on thin conductors with scalar potentials -- 6. An algorithm to make cuts for magnetic scalar potentials -- 7. A paradigm problem -- Mathematical appendix: Manifolds, differential forms, cohomology, Riemannian structures. | |
| 520 | |a Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. | ||
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| author | Gross, Paul W. (Paul Wolfgang), 1967- |
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| contents | 1. From vector calculus to algebraic topology -- 2. Quasistatic electromagnetic fields -- 3. Duality theorems for manifolds with boundary -- 4. The finite element method and data structures -- 5. Computing eddy currents on thin conductors with scalar potentials -- 6. An algorithm to make cuts for magnetic scalar potentials -- 7. A paradigm problem -- Mathematical appendix: Manifolds, differential forms, cohomology, Riemannian structures. |
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| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-ocn320267398 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:44Z |
| institution | BVB |
| isbn | 9781601197405 1601197403 0511216890 9780511216893 0511207948 9780511207945 051121510X 9780511215100 9780511756337 051175633X 9780511211522 051121152X 9780521175234 0521175232 1139882953 9781139882958 9786610541270 6610541272 0511315570 9780511315572 0511213298 9780511213298 |
| language | English |
| oclc_num | 320267398 |
| open_access_boolean | |
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| physical | 1 online resource (ix, 278 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Cambridge University Press, |
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| series | Mathematical Sciences Research Institute publications ; |
| series2 | Mathematical Sciences Research Institute publications ; |
| spelling | Gross, Paul W. (Paul Wolfgang), 1967- https://id.oclc.org/worldcat/entity/E39PCjJyqH8fqHxxXXrmbMjR83 http://id.loc.gov/authorities/names/n2004008415 Electromagnetic theory and computation : a topological approach / Paul W. Gross, P. Robert Kotiuga. Cambridge, UK ; New York : Cambridge University Press, ©2004. 1 online resource (ix, 278 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Mathematical Sciences Research Institute publications ; 48 Includes bibliographical references (pages 261-266) and index. Print version record. 1. From vector calculus to algebraic topology -- 2. Quasistatic electromagnetic fields -- 3. Duality theorems for manifolds with boundary -- 4. The finite element method and data structures -- 5. Computing eddy currents on thin conductors with scalar potentials -- 6. An algorithm to make cuts for magnetic scalar potentials -- 7. A paradigm problem -- Mathematical appendix: Manifolds, differential forms, cohomology, Riemannian structures. Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. English. Electromagnetic theory. http://id.loc.gov/authorities/subjects/sh85042178 Théorie électromagnétique. SCIENCE Waves & Wave Mechanics. bisacsh Electromagnetic theory fast Electronic book. Kotiuga, P. Robert (Peter Robert), 1958- https://id.oclc.org/worldcat/entity/E39PCjybHrFvTRjM4RXRYHdwQ3 http://id.loc.gov/authorities/names/n2004008416 has work: Electromagnetic theory and computation (Text) https://id.oclc.org/worldcat/entity/E39PCFQHbg8CVmJq9C7qCj9TwP https://id.oclc.org/worldcat/ontology/hasWork Print version: Gross, Paul W. (Paul Wolfgang), 1967- Electromagnetic theory and computation. Cambridge, UK ; New York : Cambridge University Press, ©2004 0521801605 (DLC) 2004052644 (OCoLC)55588045 Mathematical Sciences Research Institute publications ; 48. http://id.loc.gov/authorities/names/n84714376 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164338 Volltext |
| spellingShingle | Gross, Paul W. (Paul Wolfgang), 1967- Electromagnetic theory and computation : a topological approach / Mathematical Sciences Research Institute publications ; 1. From vector calculus to algebraic topology -- 2. Quasistatic electromagnetic fields -- 3. Duality theorems for manifolds with boundary -- 4. The finite element method and data structures -- 5. Computing eddy currents on thin conductors with scalar potentials -- 6. An algorithm to make cuts for magnetic scalar potentials -- 7. A paradigm problem -- Mathematical appendix: Manifolds, differential forms, cohomology, Riemannian structures. Electromagnetic theory. http://id.loc.gov/authorities/subjects/sh85042178 Théorie électromagnétique. SCIENCE Waves & Wave Mechanics. bisacsh Electromagnetic theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85042178 |
| title | Electromagnetic theory and computation : a topological approach / |
| title_auth | Electromagnetic theory and computation : a topological approach / |
| title_exact_search | Electromagnetic theory and computation : a topological approach / |
| title_full | Electromagnetic theory and computation : a topological approach / Paul W. Gross, P. Robert Kotiuga. |
| title_fullStr | Electromagnetic theory and computation : a topological approach / Paul W. Gross, P. Robert Kotiuga. |
| title_full_unstemmed | Electromagnetic theory and computation : a topological approach / Paul W. Gross, P. Robert Kotiuga. |
| title_short | Electromagnetic theory and computation : |
| title_sort | electromagnetic theory and computation a topological approach |
| title_sub | a topological approach / |
| topic | Electromagnetic theory. http://id.loc.gov/authorities/subjects/sh85042178 Théorie électromagnétique. SCIENCE Waves & Wave Mechanics. bisacsh Electromagnetic theory fast |
| topic_facet | Electromagnetic theory. Théorie électromagnétique. SCIENCE Waves & Wave Mechanics. Electromagnetic theory Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164338 |
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