Electromagnetic Theory and Computation: A Topological Approach (Mathematical ...

Description: Electromagnetic Theory and Computation: A Topological Approach (Mathematical Sciences Research Institute Publications, Series Number 48) [Paperback] Gross, Paul W. and Kotiuga, P. Robert Product Overview 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 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. Appendices bridge the gap between the material presented and standard expositions of differential forms, Hodge decompositions, and tools for realizing representatives of homology classes as embedded manifolds. Read more Details Publisher ‏ : ‎ Cambridge University Press; Reprint edition (April 28, 2011) Language ‏ : ‎ English Paperback ‏ : ‎ 290 pages ISBN-10 ‏ : ‎ 0521175232 ISBN-13 ‏ : ‎ 34 Item Weight ‏ : ‎ 15 ounces Dimensions ‏ : ‎ 6.14 x 0.66 x 9.21 inches Best Sellers Rank: #4,248,011 in Books (See Top 100 in Books) #586 in Waves & Wave Mechanics (Books) #917 in Topology (Books) #1,190 in Geometry #586 in Waves & Wave Mechanics (Books) We have been selling used books since 2012, and we've learned that the most important thing is doing good business. Honesty is our policy. Free Shipping We ship worldwide. We have multiple warehouses around the world, so please note the extended handling time on certain listings.

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