Non-standard Analysis
eBook - PDF

Non-standard Analysis

  1. 308 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Non-standard Analysis

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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Yes, you can access Non-standard Analysis by Abraham Robinson in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. FOREWORD
  6. PREFACE
  7. PREFACE TO THE SECOND EDITION
  8. LIST OF CONTENTS
  9. CHAPTER I GENERAL INTRODUCTION
  10. CHAPTER II TOOLS FROM LOGIC
  11. CHAPTER III DIFFERENTIAL AND INTEGRAL CALCULUS
  12. CHAPTER IV GENERAL TOPOLOGY
  13. CHAPTER V FUNCTIONS OF A REAL VARIABLE
  14. CHAPTER VI FUNCTIONS OF A COMPLEX VARIABLE
  15. CHAPTER VII LINEAR SPACES
  16. CHAPTER VIII TOPOLOGICAL GROUPS AND LIE GROUPS
  17. CHAPTER IX SELECTED TOPICS
  18. CHAPTER X CONCERNING THE HISTORY OF THE CALCULUS
  19. BIBLIOGRAPHY
  20. INDEX OF AUTHORS
  21. SUBJECT INDEX