An Introduction to Numerical Analysis

1 Solution of equations by iteration
2 Solution of systems of linear equations
3 Special matrices
4 Simultaneous nonlinear equations
5 Eigenvalues and eigenvectors of a symmetric matrix
6 Polynomial interpolation
7 Numerical integration – I
8 Polynomial approximation in the 8-norm
9 Approximation in the 2-norm
10 Numerical integration – II
11 Piecewise polynomial approximation
12 Initial value problems for ODEs
13 Boundary value problems for ODEs
14 The ?nite element method
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