000			00375nam a2200133Ia 4500
999			_c151254 _d151254
020			_a0387985794
040			_cCUS
082			_a530.15 _bHAS/M
100			_aHassani, Sadri.
245		0	_aMathematical physics: a modern introduction to its foundations/ _cSadri Hassani.
260			_aNew York: _bSpringer, _c1999.
300			_axxi, 1025 p. : _bill. ; _c24 cm.
505			_aMathematical preliminaries -- Vectors and transformations -- Operator algebra -- Matrices : operator representations -- Spectral decomposition -- Hilbert spaces -- Generalized functions -- Classical orthogonal polynomials -- Fourier analysis -- Complex calculus -- Calculus of residues -- Complex analysis : advanced topics -- Separation of variables in spherical coordinates -- Second-oder linear differential equations -- Complex analysis of SOLDEs -- Integral transforms and differential equations -- An introduction to operator theory -- t Integral equations -- Sturm-Liouville systems : formalism -- Sturm-Liouville systems : examples -- Green's functions in one dimension -- Multidimensional Green's functions : applications -- Group theory -- Group reprensentation theory -- Algebra of tensors -- Analysis of tensors -- Lie groups and lie algebras -- Differential geometry -- Lie groups and differential equations -- Calculus of variations, symmetries, and conservation laws. Responsibility: Sadri Hassani.
650			_aMathematical physics
650			_aPhysics
942			_cSC79 _01