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Useful to programmers and stimulating for theoreticians, this text
covers the major methods of numerical integration. It offers a
balanced presentation: certain sections derive from or allude to
deep results of analysis, but most of the final results are
expressed in a form accessible to anyone with a background in
calculus.
An extensive introduction outlines the uses and advantages of
numerical integration and includes formulas and guides to
orthogonal polynomials and specific integrals. Subsequent chapters
explore approximate integration over finite and infinite intervals,
error analysis, approximate integration in two or more dimensions,
and automatic integration. Five helpful appendixes conclude the
text.
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