Linear Optimization: The Simplex Workbook

Linear Optimization:
The Simplex Workbook



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Glenn H. Hurlbert "Linear Optimization: The Simplex Workbook"
September 2009 | English | ISBN-13: 978-0-387-79147-0 | 291
Pages | PDF | 5.56 MB

*
Uses the "modified Moore method" approach in which examples and proof
opportunities are worked into the text in order to encourage students to
develop some of the content through their own examples and arguments
while they are reading the text
* Concentrates on the
mathematics underlying the ideas of optimizing linear functions under
linear constraints and the algorithms used to solve them
* The
material progresses at a gentle and inviting pace
* Ample
examples and exercises are included

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