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Linear Programming

  • Book
  • © 1971

Overview

Authors:
  1. Kathleen Trustrum
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Part of the book series: Library of Mathematics (LIMA)

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Table of contents (5 chapters)

  1. Front Matter

    Pages N2-vii
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  2. Convex Sets

    • Kathleen Trustrum
    Pages 1-13

  3. The Theory of Linear Programming

    • Kathleen Trustrum
    Pages 14-30

  4. The Transportation Problem

    • Kathleen Trustrum
    Pages 31-45

  5. The Simplex Method

    • Kathleen Trustrum
    Pages 46-67

  6. Game Theory

    • Kathleen Trustrum
    Pages 68-82

  7. Back Matter

    Pages 83-89
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Keywords

About this book

Linear programming is a relatively modern branch of Mathe­ matics, which is a result of the more scientific approach to management and planning of the post-war era. The purpose of this book is to present a mathematical theory of the subject, whilst emphasising the applications and the techniques of solution. An introduction to the theory of games is given in chapter five and the relationship between matrix games and linear programmes is established. The book assumes that the reader is familiar with matrix algebra and the background knowledge required is covered in the book, Linear Equations by P.M. Cohn, of this series. In fact the notation used in this text conforms with that intro­ duced by Cohn. The book is based on a course of about 18 lectures given to Mathematics and Physics undergraduates. Several examples are worked out in the text and each chapter is followed by a set of examples. I am grateful to my husband for many valuable suggestions and advice, and also to Professor W. Ledermann, for encourag­ ing me to write this book.

Bibliographic Information

  • Book Title: Linear Programming

  • Authors: Kathleen Trustrum

  • Series Title: Library of Mathematics

  • DOI: https://doi.org/10.1007/978-94-010-9462-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kathleen Trustrum 1971

  • Softcover ISBN: 978-0-7100-6779-1Published: 25 August 1971

  • eBook ISBN: 978-94-010-9462-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 89

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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