G. Hurlbert LinOpt Text

Linear Optimization Text

Title Linear Optimization: The Simplex Workbook

Author Glenn Hurlbert

Publisher Springer (in their Undergraduate Texts in Mathematics series) -- available now ( LOOK INSIDE at Amazon or see the excerpts below)

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 Two students 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.

Awards The book won the 2011 Texty Award from the Text and Academic Authors Association.

Workshops My 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, unfortunately was cancelled at the last minute.

However, I did run an MAA Minicourse at the January 6-9, 2011, Joint Meetings in New Orleans. I may run others at future Joint Meetings or MathFests, and may consider another PREP as well. Let me know if any of these interest you.

Chapter Samples Title & Preface

1 Introduction

2 The Simplex Algorithm

3 Geometry

4 The Duality Theorem

5 Matrix Implementation

6 General Form

7 Unsolvable Systems

8 Geometry Revisited

9 Game Theory

10 Network Implementation

11 Combinatorics

12 Economics

13 Integer Optimization

A1 Linear Algebra

A2 Shortcut Method

A3 Complexity

A4 Software

Users Dan Biebighauser (Concordia College), Donovan Hare (Univ. British Columbia, Okanagan), Michael Fisher (West Chester Univ.), Gary Gordon (Lafayette College), Mark Ellingham (Vanderbilt Univ.), Attila Sali (when he was at Univ. S. Carolina), Jennifer Nordstrom (Linfield College), Mark Herman (Univ. Rochester) --- let me know if I should add you to this list.

Feedback Submit anonymous feedback, including misprints, mistakes, and helpful suggestions. In order to prevent robots from spamming the site, there is a Captcha box included to test your visual skills.

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.

Title	Linear Optimization: The Simplex Workbook
Author	Glenn Hurlbert
Publisher	Springer (in their Undergraduate Texts in Mathematics series) -- available now ( LOOK INSIDE at Amazon or see the excerpts below)
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	Two students 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.
Awards	The book won the 2011 Texty Award from the Text and Academic Authors Association.
Workshops	My 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, unfortunately was cancelled at the last minute.
	However, I did run an MAA Minicourse at the January 6-9, 2011, Joint Meetings in New Orleans. I may run others at future Joint Meetings or MathFests, and may consider another PREP as well. Let me know if any of these interest you.

Users	Dan Biebighauser (Concordia College), Donovan Hare (Univ. British Columbia, Okanagan), Michael Fisher (West Chester Univ.), Gary Gordon (Lafayette College), Mark Ellingham (Vanderbilt Univ.), Attila Sali (when he was at Univ. S. Carolina), Jennifer Nordstrom (Linfield College), Mark Herman (Univ. Rochester) --- let me know if I should add you to this list.
Feedback	Submit anonymous feedback, including misprints, mistakes, and helpful suggestions. In order to prevent robots from spamming the site, there is a Captcha box included to test your visual skills.
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.