00000cam a22000004i 4500 UP-99796217612404389 Buklod 20170309154302.0 a r |||| u| ta 130820t20132013xx m rb |001 0|eng d 9783319011943 (iLib)UPD-00261912253 DLC DMSEP rda eng QC 20 H385 2013 Hassani, Sadri author Mathematical physics a modern introduction to its foundations Sadri Hassani. Second edition. Cham Springer [2013] xxxi, 1205 pages illustrations 26 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references and index. Mathematical 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 -- 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. Mathematical physics. FO UPD DNIP QC 20 H385 2013 Book