MARC Record from Library of Congress

LEADER: 02536cam a22003257a 4500
001 2010281339
003 DLC
005 20120614081358.0
008 100802s2010 njua b 001 0 eng d
010 $a 2010281339
015 $aGBB0A2694$2bnb
016 7 $a015636020$2Uk
020 $a9789814299732
020 $a9814299731
035 $a(OCoLC)ocn496951805
040 $aBTCTA$beng$cBTCTA$dYDXCP$dEUX$dBWX$dCDX$dDGU$dMUU$dUKM$dINU$dDLC
042 $alccopycat
050 00 $aQC20$b.L43 2010
245 00 $aLectures on advanced mathematical methods for physicists /$cSunil Mukhi, N. Mukunda.
260 $aNew Jersey :$bWorld Scientific,$cc2010.
300 $aviii, 278 p. :$bill. ;$c24 cm.
500 $a"Hindustan Book Agency" distributor for India.
504 $aIncludes bibliographical references (p.[273]-274) and index.
520 $aThis book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics (including string theory), while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics.
520 $aPart I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.
520 $aPart II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups.
520 $aThe style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists. --Book Jacket.
650 0 $aMathematical physics.
700 1 $aMukhi, Sunil.
700 1 $aMukunda, N.