000 02765nam a22003498i 4500
001 CR9780511627040
003 UkCbUP
005 20200124160249.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s2009||||enk o ||1 0|eng|d
020 _a9780511627040 (ebook)
020 _z9780521854030 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC20
_b.S76 2009
082 0 4 _a530.15
_222
100 1 _aStone, Michael,
_cPh. D.,
_eauthor.
245 1 0 _aMathematics for physics :
_ba guided tour for graduate students /
_cMichael Stone and Paul Goldbart.
264 1 _aCambridge :
_bCambridge University Press,
_c2009.
300 _a1 online resource (xiii, 806 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 _aCalculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals.
520 _aAn engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
650 0 _aMathematical physics.
650 0 _aMathematical physics
_vProblems, exercises, etc.
700 1 _aGoldbart, Paul M.,
_eauthor.
776 0 8 _iPrint version:
_z9780521854030
856 4 0 _uhttps://doi.org/10.1017/CBO9780511627040
999 _c519318
_d519316