000 02217nam a22004098i 4500
001 CR9781107325623
003 UkCbUP
005 20200124160232.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130129s1984||||enk o ||1 0|eng|d
020 _a9781107325623 (ebook)
020 _z9780521302241 (hardback)
020 _z9780521177399 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.17.S9
_bM54 1984
082 0 0 _a530.1/555
_219
100 1 _aMiller, Willard,
_eauthor.
245 1 0 _aSymmetry and separation of variables /
_cWillard Miller, Jr. ; with a foreword by Richard Askey.
246 3 _aSymmetry & Separation of Variables
264 1 _aCambridge :
_bCambridge University Press,
_c1984.
300 _a1 online resource (xxx, 285 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 4
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aOriginally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.
650 0 _aSymmetry (Physics)
650 0 _aFunctions, Special.
650 0 _aDifferential equations, Partial
_xNumerical solutions.
650 0 _aSeparation of variables.
700 1 _aAskey, Richard,
_ewriter of foreword.
776 0 8 _iPrint version:
_z9780521302241
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 4.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107325623
999 _c517701
_d517699