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Electromagnetic Theory and Computation

Name: Electromagnetic Theory and Computation
Brand: Cambridge University Press
SKU: 02043907
Price: 159.31 EUR
Availability: InStock
Author: Gross
ISBN: 9780521801607

A Topological Approach

Gross

Paul W. (Mathematical Sciences Research Institute

Berkeley)

P. Robert (Boston University) Kotiuga

Language

English

Book Hardback

Libristo code: 02043907

Publishers Cambridge University Press, June 2004

Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of e... Full description

Libristo code: 02043907

385 b

159.31 €

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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.