Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (25 chapters)
-
Front Matter
-
Statistics, probability and measures
-
Front Matter
-
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: The Strength of Nonstandard Analysis
Editors: Imme Berg, Vítor Neves
DOI: https://doi.org/10.1007/978-3-211-49905-4
Publisher: Springer Vienna
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Vienna 2007
Hardcover ISBN: 978-3-211-49904-7Published: 27 December 2006
Softcover ISBN: 978-3-211-99892-2Published: 13 October 2010
eBook ISBN: 978-3-211-49905-4Published: 03 December 2007
Edition Number: 1
Number of Pages: XX, 401
Number of Illustrations: 16 b/w illustrations
Topics: Analysis, Mathematical Logic and Foundations, Probability Theory and Stochastic Processes, Partial Differential Equations, Number Theory, History of Mathematical Sciences