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Mathematical physics: a modern introduction to its foundations/ Sadri Hassani

By: Hassani, SadriMaterial type: Text

TextPublication details: New York: Springer, 2006Description: xxi, 1025 p. : ill. ; 24 cmISBN: 9780387985794Subject(s): Mathematical physics | Mathematics | PhysicsDDC classification: 530.15

Contents:

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.

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
General Books Science Library	Science Library, Sikkim University Science Library General Section	530.15 HAS/M (Browse shelf(Opens below))	Available	Books For SU Science Library		P07341

Total holds: 0

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.

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