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Simple Quadrature Rules

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More Calculus of a Single Variable

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

In practice most definite integrals cannot be evaluated exactly. In such cases one must resort to various approximation methods, which can be quite complicated. Any method used to approximate a definite integral is called a quadrature rule. (Quadrature is any process used to construct a square equal in area to that of some given figure.) But in this chapter we see that even the simplest of quadrature rules can be useful, even when the exact value of the integral is known.

It is the mark of an educated mind to rest satisfied with the degree of precision which the nature of the subject admits.

—Aristotle

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  1. Mathematics Department, SUNY Buffalo State, Buffalo, NY, USA

    Peter R. Mercer

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  1. Peter R. Mercer
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Mercer, P.R. (2014). Simple Quadrature Rules. In: More Calculus of a Single Variable. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1926-0_13

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