Mathematical Physics: A Modern Introduction to Its Foundations / Edition 1

Mathematical Physics: A Modern Introduction to Its Foundations / Edition 1

by Sadri Hassani, S. Hassani
     
 

ISBN-10: 0387985794

ISBN-13: 9780387985794

Pub. Date: 02/28/2002

Publisher: Springer New York

This modern introduction to mathematical physics is ideal for physicist interested in the mathematics they use and for mathematicians interested in seeing how the ideas of their discipline find realization in an applied setting.

Overview

This modern introduction to mathematical physics is ideal for physicist interested in the mathematics they use and for mathematicians interested in seeing how the ideas of their discipline find realization in an applied setting.

Product Details

ISBN-13:
9780387985794
Publisher:
Springer New York
Publication date:
02/28/2002
Edition description:
1st ed. 1999. Corr. 3rd printing 2002
Pages:
1026
Product dimensions:
6.70(w) x 9.80(h) x 2.00(d)

Table of Contents

Mathematical Preliminaries.- I Finite-Dimensional Vector Spaces.- 1 Vectors and Linear Maps.- 2 Algebras.- 3 Operator Algebra.- 4 Matrices.- 5 Spectral Decomposition.- II Infinite-Dimensional Vector Spaces.- 6 Hilbert Spaces.- 7 Classical Orthogonal Polynomials.- 8 Fourier Analysis.- III Complex Analysis.- 9 Complex Calculus.- 10 Calculus of Residues.- 11 Advanced Topics.- IV Differential Equations.- 12 Separation of Variables in Spherical Coordinates.- 13 Second-Order Linear Differential Equations.- 14 Complex Analysis of SOLDEs.- 15 Integral Transforms and Differential Equations.- V Operators on Hilbert Spaces.- 16 Introductory Operator Theory.- 17 Integral Equations.- 18 Sturm-Liouville Systems.- VI Green's Functions.- 19 Green's Functions in One Dimension.- 20 Multidimensional Green's Functions: Formalism.- 21 Multidimensional Green's Functions: Applications.- VII Groups and Their Representations.- 22 Group Theory.- 23 Representation of Groups.- 24 Representations of the Symmetric Group.- VIII Tensors and Manifolds.- 25 Tensors.- 26 Clifford Algebras.- 27 Analysis of Tensors.- IX Lie Groups and Their Applications.- 28 Lie Groups and Lie Algebras.- 28.2 An Outline of Lie Algebra Theory.- 29 Representation of Lie Groups and Lie Algebras.- 30 Representation of Clifford Algebras.- 31 Lie Groups and Differential Equations.- 32 Calculus of Variations, Symmetries, and Conservation Laws.- X Fiber Bundles.- 33 Fiber Bundles and Connections.- 34 Gauge Theories.- 35 Differential Geometry.- 36 Riemannian Geometry

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