The Strength of Nonstandard Analysis (Repost)
ISBN: 3211499040
Category: Technical
Tag: Science/Engineering
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Posted on 2010-09-25. By anonymous.
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Imme van den Berg , Vitor Neves, "The Strength of Nonstandard Analysis"
Springer; 1 edition (April 24, 2007) | ISBN:3211499040 | 401 pages | Djvu | 10,6 Mb
Springer; 1 edition (April 24, 2007) | ISBN:3211499040 | 401 pages | Djvu | 10,6 Mb
Nonstandard Analysis enhances mathematical reasoning by introducing new ways of expression and deduction. Distinguishing between standard and nonstandard mathematical objects, its inventor, the eminent mathematician Abraham Robinson, settled in 1961 the centuries-old problem of how to use infinitesimals correctly in analysis. Having also worked as an engineer, he saw not only that his method greatly simplified mathematically proving and teaching, but also served as a powerful tool in modelling, analyzing and solving problems in the applied sciences, among others by effective rescaling and by infinitesimal discretizations.
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