000 02389nam a22003498i 4500
001 CR9781139939683
003 UkCbUP
005 20200124160213.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 141103s2015||||enk o ||1 0|eng|d
020 _a9781139939683 (ebook)
020 _z9781107078208 (hardback)
020 _z9781107435162 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC670
_b.G376 2015
082 0 0 _a537.01/51
_223
100 1 _aGarrity, Thomas A.,
_d1959-
_eauthor.
245 1 0 _aElectricity and magnetism for mathematicians :
_ba guided path from Maxwell's equations to Yang-Mills /
_cThomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun.
246 3 _aElectricity & Magnetism for Mathematicians
264 1 _aCambridge :
_bCambridge University Press,
_c2015.
300 _a1 online resource (xiv, 282 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell's equations. Even more surprising is that these equations and their generalizations have led to some of the most important mathematical discoveries of the past thirty years. It seems that the mathematics behind Maxwell's equations is endless. The goal of this book is to explain to mathematicians the underlying physics behind electricity and magnetism and to show their connections to mathematics. Starting with Maxwell's equations, the reader is led to such topics as the special theory of relativity, differential forms, quantum mechanics, manifolds, tangent bundles, connections, and curvature.
650 0 _aElectromagnetic theory
_xMathematics
_vTextbooks.
700 1 _aNeumann-Chun, Nicholas,
_eillustrator.
776 0 8 _iPrint version:
_z9781107078208
856 4 0 _uhttps://doi.org/10.1017/CBO9781139939683
999 _c516030
_d516028