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Neutrices and External Numbers
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Neutrices and External Numbers : A Flexible Number System

by Bruno Dinis , Imme van den Berg

Book Details

Format Hardback
Book Series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
ISBN-10 1498772676
ISBN-13 9781498772679
Publisher Taylor & Francis Inc
Imprint Chapman & Hall/CRC
Country of Manufacture US
Country of Publication GB
Publication Date Jun 24th, 2019
Print length 360 Pages
Weight 680 grams
Dimensions 16.20 x 24.10 x 2.50 cms
Product Classification: Set theoryDiscrete mathematicsCalculus & mathematical analysisCalculus and mathematical analysisApplied mathematics
KSh 33,850.00
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The book introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations.

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

    • Get Neutrices and External Numbers by Bruno Dinis, Imme van den Berg at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Taylor & Francis Inc and it has 360 pages.

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