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Optimization Problems

  • L. Collatz
  • W. Wetterling

Part of the Applied Mathematical Sciences book series (AMS, volume 17)

Table of contents

  1. Front Matter
    Pages i-x
  2. L. Collatz, W. Wetterling
    Pages 1-122
  3. L. Collatz, W. Wetterling
    Pages 123-208
  4. L. Collatz, W. Wetterling
    Pages 209-243
  5. L. Collatz, W. Wetterling
    Pages 244-280
  6. L. Collatz, W. Wetterling
    Pages 281-324
  7. Back Matter
    Pages 325-357

About this book

Introduction

The German edition of this book, first published in 1966, has been quite popular; we did not, however, consider publishing an English edition because a number of excellent textbooks in this field already exist. In recent years, how­ ever, the wish was frequently expressed that, especially, the description of the relationships between optimization and other subfields of mathematics, which is not to be found in this form in other texts, might be made available to a wider readership; so it was with this in mind that, be­ latedly, a translation was undertaken after all. Since the appearance of the German edition, the field of optimization has continued to develop at an unabated rate. A completely current presentation would have required a total reworking of the book; unfortunately, this was not possible. For example, we had to ignore the extensive progress which has been made in the development of numerical methods which do not require convexity assumptions to find local maxima and minima of non-linear optimization problems. These methods are also applicable to boundary value, and other, problems. Many new results, both of a numerical and a theoretical na­ ture, which are especially relevant to applications, are to be found in the areas of optimal contol and integer optimiza­ tion.

Keywords

Planungsrechnung function linear optimization mathematics optimization theorem

Authors and affiliations

  • L. Collatz
    • 1
  • W. Wetterling
    • 2
  1. 1.Institut für Angewandte MathematikUniversität HamburgHamburg 13West Germany
  2. 2.T. H. TwenteEnschedeNetherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-6378-4
  • Copyright Information Springer-Verlag New York 1975
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90143-5
  • Online ISBN 978-1-4612-6378-4
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site