The Strength of Nonstandard Analysis

• Corporate Author: SpringerLink (Online service)
• Other Authors: Berg, Imme van den (Editor), Neves, Vítor (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna, 2007.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; History.; Mathematical logic.; Number theory.; Probabilities.; Analysis.; Mathematical Logic and Foundations.; Probability Theory and Stochastic Processes.; Partial Differential Equations.; Number Theory.; History of Mathematical Sciences.

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 infinitesi...