Constructive Analysis

  • Errett Bishop
  • Douglas Bridges

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 279)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Errett Bishop, Douglas Bridges
    Pages 1-3
  3. Errett Bishop, Douglas Bridges
    Pages 4-13
  4. Errett Bishop, Douglas Bridges
    Pages 14-66
  5. Errett Bishop, Douglas Bridges
    Pages 67-80
  6. Errett Bishop, Douglas Bridges
    Pages 81-127
  7. Errett Bishop, Douglas Bridges
    Pages 128-214
  8. Errett Bishop, Douglas Bridges
    Pages 215-298
  9. Errett Bishop, Douglas Bridges
    Pages 299-398
  10. Errett Bishop, Douglas Bridges
    Pages 399-449
  11. Errett Bishop, Douglas Bridges
    Pages 450-462
  12. Back Matter
    Pages 463-477

About this book

Introduction

This work grew out of Errett Bishop's fundamental treatise 'Founda­ tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma­ thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener­ ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.

Keywords

Analysis Banach algebra Hilbert space Konstruktive Mathematik boundary element method convolution set set theory time

Authors and affiliations

  • Errett Bishop
    • 1
  • Douglas Bridges
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaSan DiegoUSA
  2. 2.Department of MathematicsUniversity of BuckinghamBuckinghamEngland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61667-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64905-9
  • Online ISBN 978-3-642-61667-9
  • Series Print ISSN 0072-7830
  • Series Online ISSN 2196-9701
  • About this book