Titlebook: Concise Guide to Numerical Algorithmics; The Foundations and John Lawrence Nazareth Book 2023 The Editor(s) (if applicable) and The Author

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John Lawrence NazarethLays the groundwork for an emerging sub-discipline of computer science.Accessible to advanced undergraduates and beyond, including practitioners.Provides a blueprint for an introductory course in nume

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Concise Guide to Numerical Algorithmics978-3-031-21762-3Series ISSN 2191-5768 Series E-ISSN 2191-5776

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https://doi.org/10.1007/978-3-030-44314-6ntary. This is the topic of the present chapter. It begins with a discussion of symbolization in human language and then proceeds to the symbolization of number. Mathematicians have developed a proper understanding of the latter and of resulting . only quite recently during the past four centuries. 

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https://doi.org/10.1007/978-3-030-44314-6ormal models of an algorithm and universal computer is then presented in a non-traditional and novel manner. These and other formal models are the theoretical foundation for the discipline of computer science, which was developed by mathematical logicians during the 1930s, before the advent of the e

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https://doi.org/10.1007/978-3-0348-6751-1pplied. Its theoretical foundation is provided by the landmark Blum-Cucker-Shub-Smale (BCSS) model of computation. And its practical foundations are based on the IEEE 754, finite-precision, floating-point standardization and the more recently proposed Chebfun model.

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