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Contents
Front Matter
Introduction
1.
Vector algebra
2.
Vector differentiation
3.
Vector integration
4.
Tensors
5.
Curvilinear coordinates
6.
Differential equations
7.
Linear second order differential equations
8.
Series solution of differential equations
9.
Legendre differential equation and polynomials
10.
Bessel differential equation
11.
The Sturmian theory
12.
The Sturm-Liouville Eigenvalue problem
13.
Laplace transforms
14.
Functions of a complex variable
15.
Analytic functions
16.
Cauchy’s theorem-I
17.
Cauchy’s theorem-II
18.
Calculus of residues-II
19.
Matrix eigenvalue problem
20.
Indirect methods for linear equations
Back Matter
Appendix
Mathematical tools for materials
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