ENGLISH

The strength of nonstandard analysis

By Imme van den Berg , Vitor Neves

Book information

Publisher
Springer
Year
2007
ISBN
3211499040, 9783211499047, 9783211499054
Open Library ID
OL9020409M
Language
english
Format
DJVU
Filesize
3 MB (2742981 bytes)
Edition
1
Pages
419\419
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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. This book reflects the progress made in the forty years since the appearance of Robinson’s revolutionary book Nonstandard Analysis: in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.

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