Resources for Project Gaussian Quadrature

The following files provide Gaussian quadrature tables as explained in the book:

	gauss-quad.h    gauss-quad.c

Try out the problems at the end of the chapter and see if you can get the exact answers given there.

Notes and errata

1. Section 22.3 states that the Legendre polynomials may be generated by applying the Gram-Schmidt orthogonalization procedure to the sequence $1,x,x^2,x^3,\ldots$. That is correct but not quite complete since the results of the Gram-Schmidt procedure are determined only up to scaling factors. In the standard Legendre polynomials the scaling factors are fixed by requiring $P_n(1)=1$ for all $n$.
2. On the last line of page 294, in the expression for $P_5(x)$, the term $63^5$ should be $63 x^5$.

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