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Hassani, Sadri

Mathematical physics: a modern introduction to its foundations/ Sadri Hassani - New York: Springer, 2006. - xxi, 1025 p. : ill. ; 24 cm.

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 --
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.

ISBN: 9780387985794

Subjects--Topical Terms:
Mathematical physics
Mathematics
Physics

Dewey Class. No.: 530.15 / HAS/M