The Strength of Nonstandard Analysis

Imme Van Den Berg

ISBN 10: 3211499040 / ISBN 13: 9783211499047

Published by Springer, Springer Dez 2006, 2006

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 428 pp. Englisch.

Seller Inventory # 9783211499047

Bibliographic Details

• Title: The Strength of Nonstandard Analysis
• Publisher: Springer, Springer Dez 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 3211499040
• ISBN 13: 9783211499047
• Binding: Buch
• Condition: Neu
• Dimensions: 250W x 175H x 28D millimeters 250 millimeters width by 175 millimeters height by 28 millimeters depth
• Weight: 916 grams

About this title

Synopsis

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.