000			02893nam a22003858i 4500
001			CR9780511756337
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100423s2004||||enk o ||1 0|eng|d
020			_a9780511756337 (ebook)
020			_z9780521801607 (hardback)
020			_z9780521175234 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC760 _b.G785 2004
082	0	0	_a530.14/1 _222
100	1		_aGross, Paul W. _q(Paul Wolfgang), _d1967- _eauthor.
245	1	0	_aElectromagnetic theory and computation : _ba topological approach / _cPaul W. Gross, P. Robert Kotiuga.
246	3		_aElectromagnetic Theory & Computation
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (ix, 278 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMathematical Sciences Research Institute publications ; _v48
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. 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			_aAlthough 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.
650		0	_aElectromagnetic theory.
700	1		_aKotiuga, P. Robert _q(Peter Robert), _d1958- _eauthor.
776	0	8	_iPrint version: _z9780521801607
830		0	_aMathematical Sciences Research Institute Publications. ; _v48.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511756337
999			_c518469 _d518467