Non-standard Analysis

by Abraham Robinson

Overview

Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Product Details

ISBN-13:	9780691044903
Publisher:	Princeton University Press
Publication date:	01/28/1996
Series:	Princeton Landmarks in Mathematics and Physics Series
Edition description:	REV
Pages:	308
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Abraham Robinson (1918-1974) was born in Prussia and taught mathematics at universities in Canada, Israel, and the United States. At the time of his death he was Sterling Professor of Mathematics at Yale University.

Table of Contents

• General Introduction
• Tools from Logic
• Differential and Integral Calculus
• General Topology
• Functions of a Real Variable
• Functions of a Complex Variable
• Linear Spaces
• Topological Groups and Lie Groups
• Selected Topics
• Concerning the History of the Calculus

Editorial Reviews

"Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus."

L'Enseignement Mathématique

"Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus."

L'Enseignement Mathématique

"Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus."

L'Enseignement Mathematique

"Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus."—L'Enseignement Mathématique

From the Publisher