Linear Optimization

The Simplex Workbook

  • Glenn Hurlbert
Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages 1-14
  2. Glenn H. Hurlbert
    Pages 1-27
  3. Glenn H. Hurlbert
    Pages 29-57
  4. Glenn H. Hurlbert
    Pages 59-72
  5. Glenn H. Hurlbert
    Pages 73-87
  6. Glenn H. Hurlbert
    Pages 89-105
  7. Glenn H. Hurlbert
    Pages 107-118
  8. Glenn H. Hurlbert
    Pages 119-128
  9. Glenn H. Hurlbert
    Pages 129-143
  10. Glenn H. Hurlbert
    Pages 145-162
  11. Glenn H. Hurlbert
    Pages 163-181
  12. Glenn H. Hurlbert
    Pages 183-194
  13. Glenn H. Hurlbert
    Pages 195-208
  14. Glenn H. Hurlbert
    Pages 209-229
  15. Back Matter
    Pages 1-41

About this book

Introduction

This undergraduate textbook is written for a junior/senior level course on linear optimization. Unlike other texts, the treatment allows the use of the "modified Moore method" approach by working examples and proof opportunities into the text in order to encourage students to develop some of the content through their own experiments and arguments while reading the text. Additionally, the focus is on the mathematics underlying the ideas of optimizing linear functions under linear constraints and the algorithms used to solve them. In particular, the author uses the Simplex Algorithm to motivate these concepts. The text progresses at a gentle and inviting pace. The presentation is driven by numerous examples and illustrations. Ample exercises are provided at the end of each chapter for mastering the material. Opportunities for integrating Maple (or similar) software are included in the book. The author’s own WebSim software can be freely downloaded from his website for pedagogical use.

The teacher's version of the text contains solutions embedded within the text, rather than in an appendix. It also has extra material and suggestions for the teacher’s benefit. Junior/senior level undergraduate students will benefit from the book, as will beginning graduate students. Future secondary school mathematics teachers will also find this book useful.

Arizona State University Professor Glenn H. Hurlbert has published nearly 50 articles in graph theory, combinatorics, and optimization, and has been the recipient of numerous teaching and mentoring awards from ASU, the ASU Parents Association, the School of Mathematical and Statistical Sciences, and the Mathematical Association of America.

Keywords

Convex Geometry Convexity Duality Linear Programming Networks Simplex Algorithm algorithms game theory integer optimization linear optimization matrix games modified Moore method optimization

Authors and affiliations

  • Glenn Hurlbert
    • 1
  1. 1.School of Mathematical and Arizona State UniversityTempeU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-79148-7
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-79147-0
  • Online ISBN 978-0-387-79148-7
  • Series Print ISSN 0172-6056
  • About this book