Computing functions by approximating the input

Mayer Goldberg

doi:10.1080/0020739X.2011.644338

Computing functions by approximating the input

Mayer Goldberg

Research output: Contribution to journal › Article › peer-review

Abstract

In computing real-valued functions, it is ordinarily assumed that the input to the function is known, and it is the output that we need to approximate. In this work, we take the opposite approach: we show how to compute the values of some transcendental functions by approximating the input to these functions, and obtaining exact answers for their output. Our approach assumes only the most rudimentary knowledge of algebra and trigonometry, and makes no use of calculus.

Original language	English
Pages (from-to)	1092-1099
Number of pages	8
Journal	International Journal of Mathematical Education in Science and Technology
Volume	43
Issue number	8
DOIs	https://doi.org/10.1080/0020739X.2011.644338
State	Published - 1 Dec 2012

Keywords

computation
real power function
trigonometric function

ASJC Scopus subject areas

Mathematics (miscellaneous)
Education
Applied Mathematics

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10.1080/0020739X.2011.644338

Cite this

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AB - In computing real-valued functions, it is ordinarily assumed that the input to the function is known, and it is the output that we need to approximate. In this work, we take the opposite approach: we show how to compute the values of some transcendental functions by approximating the input to these functions, and obtaining exact answers for their output. Our approach assumes only the most rudimentary knowledge of algebra and trigonometry, and makes no use of calculus.

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KW - trigonometric function

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Computing functions by approximating the input

Abstract

Keywords

ASJC Scopus subject areas

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