Mathematical physics : a modern introduction to its foundations /
"This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abs...
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Format:  Online Book 
Language:  English 
Published: 
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Springer,
[2013]

Edition:  Second edition. 
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Online Access:  Online version 
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 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
 Secondoder linear differential equations
 Complex analysis of SOLDEs
 Integral transforms and differential equations
 An introduction to operator theory
 t Integral equations
 SturmLiouville systems : formalism
 SturmLiouville 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.