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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
©2004.
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| Colección: | Mathematical Sciences Research Institute publications ;
48. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (ix, 278 pages) : illustrations |
| Bibliografía: | 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 |