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Neutrices and External Numbers
By:Bruno Dinis,Imme van den Berg
Published on 2019-07-03 by CRC Press
Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with detailed presentation of the algebraic structure of external numbers, then deals with the generalized Dedekind completeness property, applications in analysis, domains of validity of approximations of solutions of differential equations, particularly singular perturbations. Finally, it describes the family of algebraic laws characterizing the practice of calculations with external numbers. Features Presents scalar neutrices and external numbers, a mathematical model of order of magnitude within the real number system. Outlines complete algebraic rules for the neutrices and external numbers Conducts operational analysis of convergence and integration of functions known up to orders of magnitude Formalises a calculus of error propagation, covariant with algebraic operations Presents mathematical models of phenomena incorporating their necessary imprecisions, in particular related to the Sorites paradox
This Book was ranked at 12 by Google Books for keyword Orders of magnitude.
Book ID of Neutrices and External Numbers's Books is 28qgDwAAQBAJ, Book which was written byBruno Dinis,Imme van den Berghave ETAG "WPNG8CMTQvw"
Book which was published by CRC Press since 2019-07-03 have ISBNs, ISBN 13 Code is 9781000012200 and ISBN 10 Code is 1000012204
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Book which have "342 Pages" is Printed at BOOK under CategoryMathematics
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