LEADER 00000cam a2200733Ia 4500 001 ocn320267398 003 OCoLC 005 20190405014017.8 006 m o d 007 cr |n||||||||| 008 090505s2004 enka ob 001 0 eng d 019 71423484|a76963955|a144217381|a271787564|a608120877 |a759865668|a776976790|a962188464|a992090521|a1004365121 |a1035700510|a1037699469|a1038663735|a1058089281 020 9781601197405|q(electronic book) 020 1601197403|q(electronic book) 020 0511216890|q(electronic book) 020 9780511216893|q(electronic book) 020 0511207948|q(electronic book ;|qAdobe Reader) 020 9780511207945|q(electronic book ;|qAdobe Reader) 020 051121510X|q(electronic book) 020 9780511215100|q(electronic book) 020 9780511756337|q(ebook) 020 051175633X|q(ebook) 020 9780511211522|q(e-book) 020 051121152X|q(e-book) 020 |z9780521801607 020 |z0521801605 035 (OCoLC)320267398|z(OCoLC)71423484|z(OCoLC)76963955 |z(OCoLC)144217381|z(OCoLC)271787564|z(OCoLC)608120877 |z(OCoLC)759865668|z(OCoLC)776976790|z(OCoLC)962188464 |z(OCoLC)992090521|z(OCoLC)1004365121|z(OCoLC)1035700510 |z(OCoLC)1037699469|z(OCoLC)1038663735|z(OCoLC)1058089281 037 |bOverDrive, Inc.|nhttp://www.overdrive.com 037 837311A1-4F87-487A-9464-C0CF451BC6FD|bOverDrive, Inc. |nhttp://www.overdrive.com 040 BUF|beng|epn|cBUF|dBUF|dKNOVL|dTEF|dDEBSZ|dOCLCQ|dN$T |dYDXCP|dTEFOD|dAU@|dIDEBK|dOTZ|dOCLCQ|dKNOVL|dOCLCO|dZCU |dKNOVL|dOCLCF|dCOO|dIL4I4|dKNOVL|dAUD|dVT2|dOCLCQ|dTEFOD |dEBLCP|dOCLCQ|dUIU|dLOA|dK6U|dPIFAG|dFVL|dOCLCQ|dMERUC |dOCLCQ|dCOCUF|dREB|dSTF|dWRM|dOCLCQ|dCEF|dRRP|dICG|dOCLCQ |dWYU|dDKC 049 RIDW 050 4 QC760|b.G785 2004eb 072 7 SCI|x067000|2bisacsh 082 04 530.14/1|222 090 QC760|b.G785 2004eb 100 1 Gross, Paul W.|q(Paul Wolfgang),|d1967-|0https:// id.loc.gov/authorities/names/n2004008415 245 10 Electromagnetic theory and computation :|ba topological approach /|cPaul W. Gross, P. Robert Kotiuga. 264 1 Cambridge, UK ;|aNew York :|bCambridge University Press, |c[2004] 264 4 |c©2004 300 1 online resource (ix, 278 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|2rdaft 490 1 Mathematical Sciences Research Institute publications ; |v48 504 Includes bibliographical references (pages 261-266) and index. 505 0 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 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Electromagnetic theory.|0https://id.loc.gov/authorities/ subjects/sh85042178 650 7 Electromagnetic theory.|2fast|0https://id.worldcat.org/ fast/906570 655 4 Electronic books. 655 7 Electronic books.|2lcgft 700 1 Kotiuga, P. Robert|q(Peter Robert),|d1958-|0https:// id.loc.gov/authorities/names/n2004008416 776 08 |iPrint version:|aGross, Paul W. (Paul Wolfgang), 1967- |tElectromagnetic theory and computation.|dCambridge, UK ; New York : Cambridge University Press, ©2004|z0521801605 |w(DLC) 2004052644|w(OCoLC)55588045 830 0 Mathematical Sciences Research Institute publications ; |0https://id.loc.gov/authorities/names/n84714376|v48. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=164338|zOnline eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20190507|cEBSCO|tEBSCOebooksacademic NEW 4-5-19 7552 |lridw 994 92|bRID