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Non-standard Analysis
Abraham Robinson
- 308 pages
- English
- PDF
- Available on iOS & Android
Non-standard Analysis
Abraham Robinson
About This Book
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.
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Table of contents
- Cover
- Title
- Copyright
- Dedication
- FOREWORD
- PREFACE
- PREFACE TO THE SECOND EDITION
- LIST OF CONTENTS
- CHAPTER I GENERAL INTRODUCTION
- CHAPTER II TOOLS FROM LOGIC
- CHAPTER III DIFFERENTIAL AND INTEGRAL CALCULUS
- CHAPTER IV GENERAL TOPOLOGY
- CHAPTER V FUNCTIONS OF A REAL VARIABLE
- CHAPTER VI FUNCTIONS OF A COMPLEX VARIABLE
- CHAPTER VII LINEAR SPACES
- CHAPTER VIII TOPOLOGICAL GROUPS AND LIE GROUPS
- CHAPTER IX SELECTED TOPICS
- CHAPTER X CONCERNING THE HISTORY OF THE CALCULUS
- BIBLIOGRAPHY
- INDEX OF AUTHORS
- SUBJECT INDEX