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Mathematical Physics

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Cover of 'Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Mathematical Preliminaries
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    Chapter 2 Vectors and Linear Maps
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    Chapter 3 Algebras
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    Chapter 4 Operator Algebra
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    Chapter 5 Matrices
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    Chapter 6 Spectral Decomposition
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    Chapter 7 Hilbert Spaces
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    Chapter 8 Classical Orthogonal Polynomials
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    Chapter 9 Fourier Analysis
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    Chapter 10 Complex Calculus
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    Chapter 11 Calculus of Residues
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    Chapter 12 Advanced Topics
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    Chapter 13 Separation of Variables in Spherical Coordinates
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    Chapter 14 Second-Order Linear Differential Equations
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    Chapter 15 Complex Analysis of SOLDEs
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    Chapter 16 Integral Transforms and Differential Equations
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    Chapter 17 Introductory Operator Theory
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    Chapter 18 Integral Equations
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    Chapter 19 Sturm-Liouville Systems
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    Chapter 20 Green’s Functions in One Dimension
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    Chapter 21 Multidimensional Green’s Functions: Formalism
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    Chapter 22 Multidimensional Green’s Functions: Applications
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    Chapter 23 Group Theory
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    Chapter 24 Representation of Groups
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    Chapter 25 Representations of the Symmetric Group
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    Chapter 26 Tensors
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    Chapter 27 Clifford Algebras
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    Chapter 28 Analysis of Tensors
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    Chapter 29 Lie Groups and Lie Algebras
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    Chapter 30 Representation of Lie Groups and Lie Algebras
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    Chapter 31 Representation of Clifford Algebras
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    Chapter 32 Lie Groups and Differential Equations
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    Chapter 33 Calculus of Variations, Symmetries, and Conservation Laws
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    Chapter 34 Fiber Bundles and Connections
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    Chapter 35 Gauge Theories
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    Chapter 36 Differential Geometry
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    Chapter 37 Riemannian Geometry
Attention for Chapter 5: Matrices
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Citations

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Chapter title
Matrices
Chapter number 5
Book title
Mathematical Physics
Published by
Springer International Publishing, January 2013
DOI 10.1007/978-3-319-01195-0_5
Book ISBNs
978-3-31-901194-3, 978-3-31-901195-0
Authors

Sadri Hassani