000 02509nam a22003498i 4500
001 CR9780511791390
003 UkCbUP
005 20200124160249.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100611s2008||||enk o ||1 0|eng|d
020 _a9780511791390 (ebook)
020 _z9780521884006 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA387
_b.G57 2008
082 0 4 _a512.482
_222
100 1 _aGilmore, Robert,
_d1941-
_eauthor.
245 1 0 _aLie groups, physics, and geometry :
_ban introduction for physicists, engineers and chemists /
_cRobert Gilmore.
246 3 _aLie Groups, Physics, & Geometry
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xi, 319 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).
505 0 _aLie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations.
520 _aDescribing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
650 0 _aLie groups.
650 0 _aGroup theory.
776 0 8 _iPrint version:
_z9780521884006
856 4 0 _uhttps://doi.org/10.1017/CBO9780511791390
999 _c519270
_d519268