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[×ÊÔ´] ÖØ°õÎïÀíÊé¼®µÚÈýÌû£¡ÊýѧÎïÀí·½·¨Mathematical Physics

ÊéÃû£ºMathematical Physics_ A Modern Introduction to Its Foundations
×÷ÕߣºSadri Hassani
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Front Matter....Pages I-XXXI
Mathematical Preliminaries....Pages 1-16
Front Matter....Pages 17-17
Vectors and Linear Maps....Pages 19-61
Algebras....Pages 63-100
Operator Algebra....Pages 101-136
Matrices....Pages 137-168
Spectral Decomposition....Pages 169-211
Front Matter....Pages 213-213
Hilbert Spaces....Pages 215-239
Classical Orthogonal Polynomials....Pages 241-263
Fourier Analysis....Pages 265-292
Front Matter....Pages 293-293
Complex Calculus....Pages 295-337
Calculus of Residues....Pages 339-361
Advanced Topics....Pages 363-392
Front Matter....Pages 393-393
Separation of Variables in Spherical Coordinates....Pages 395-415
Second-Order Linear Differential Equations....Pages 417-457
Complex Analysis of SOLDEs....Pages 459-491
Integral Transforms and Differential Equations....Pages 493-507
Front Matter....Pages 509-509
Introductory Operator Theory....Pages 511-541
Integral Equations....Pages 543-561
Sturm-Liouville Systems....Pages 563-602
Front Matter....Pages 603-603
Green¡¯s Functions in One Dimension....Pages 605-634
Front Matter....Pages 603-603
Multidimensional Green¡¯s Functions: Formalism....Pages 635-664
Multidimensional Green¡¯s Functions: Applications....Pages 665-698
Front Matter....Pages 699-699
Group Theory....Pages 701-723
Representation of Groups....Pages 725-760
Representations of the Symmetric Group....Pages 761-777
Front Matter....Pages 779-779
Tensors....Pages 781-827
Clifford Algebras....Pages 829-857
Analysis of Tensors....Pages 859-911
Front Matter....Pages 913-913
Lie Groups and Lie Algebras....Pages 915-951
Representation of Lie Groups and Lie Algebras....Pages 953-985
Representation of Clifford Algebras....Pages 987-1007
Lie Groups and Differential Equations....Pages 1009-1045
Calculus of Variations, Symmetries, and Conservation Laws....Pages 1047-1075
Front Matter....Pages 1077-1077
Fiber Bundles and Connections....Pages 1079-1098
Gauge Theories....Pages 1099-1115
Differential Geometry....Pages 1117-1141
Riemannian Geometry....Pages 1143-1177
Back Matter....Pages 1179-1205ÖØ°õÎïÀíÊé¼®µÚÈýÌû£¡ÊýѧÎïÀí·½·¨Mathematical Physics
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