This chapter provides a brief introduction to the floating-point number system used in most scientific and engineering applications. A few examples are given in the next section illustrating some of the challenges using finite precision arithmetic, but it is worth quoting Donald Knuth to get things started. If you are unfamiliar with him, he was instrumental in the development of the analysis of algorithms, and is the creator of TeX. Anyway, here are the relevant quotes (Knuth [1997]:
CITATION STYLE
Holmes, M. H. (2016). Introduction to Scientific Computing (pp. 1–29). https://doi.org/10.1007/978-3-319-30256-0_1
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