Linear Optimization Text

Title   Linear Optimization: The Simplex Workbook
Author   Glenn Hurlbert
Publisher   Springer Verlag (in their Undergraduate Texts in Mathematics series) -- contact me if you might like to try it (it has already been piloted at four schools)
Description   This is a text written primarily for undergraduate mathematics majors, although undergraduates and graduates in Computer Science, Engineering, and Economics could (and at ASU do) use it as well. The focus is on theory more than applications, and even the applications are more mathematical than industrial.
  The book is written in guided discovery format so that professors who use the Moore method and its variants can use it. It also comes with a teachers guide that contains solutions as well as suggestions for use. Thus one can easily lecture from it as well, or mix various styles as needed.

  This project arose from classes I taught with such an inquiry-based approach, realizing that no existing book allowed for such a thing, and was funded by an NSF-DUE-CCLI grant.
Software   A student and I developed WebSim (logo above) for use in the class as a pedagogical tool for the exploration and solving of linear optimization (and linear algebra) problems. It is free and you can download and run it locally or on-line.
  I also include in the book many opportunities for Maple use other than just solving linear optimization problems.
Workshop   I am running a PREP Workshop (sponsored by the Mathematical Association of America ) at the Carriage House, in Washington, DC, June 25-29, 2008, on this topic and delivery method.
Chapter Samples     Title
  Introduction
  The Simplex Algorithm
  Geometry
  The Duality Theorem
  Matrix Implementation
  General Form
  Unsolvable Systems
  Geometry Revisited
  Game Theory
  10  Network Implementation
  11  Combinatorics
  12  Economics
  13  Integer Optimization
  A1  Linear Algebra
  A2  Shortcut Method
  A3  Complexity
  A4  Software
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Disclaimer   This material is based upon work supported by the National Science Foundation under Grant No. 0443087. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.