Neutrices and External Numbers is popular PDF and ePub book, written by Bruno Dinis in 2019-07-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Neutrices and External Numbers can be Read Online from any device for your convenience.
Neutrices and External Numbers Book PDF Summary
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
Detail Book of Neutrices and External Numbers PDF
- Author : Bruno Dinis
- Release : 03 July 2019
- Publisher : CRC Press
- ISBN : 9781000012200
- Genre : Mathematics
- Total Page : 306 pages
- Language : English
- PDF File Size : 11,9 Mb
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