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003			NG-AbAUS
005			20230307093515.0
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	0	0	_aQC20 _b.L43 2010
245	0	0	_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. _9212
700	1		_aMukhi, Sunil. _9215
700	1		_aMukunda, N. _9216
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2lcc _cBK
955			_bxe11 2010-08-02 z-processor to USGEN _axh00 2010-08-04 to USPL/STM _bxh58 2012-04-12 z-processor _ihc05 2012-06-13 to Dewey, c. 1