Overview
- 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
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (13 chapters)
Keywords
About this book
Reviews
From the reviews:
“In an effort at reform, Hurlbert (Arizona State) dubs his subject ‘linear optimization’ … . the author designs his work for discovery-based learning. … Ideally, this volume offers students the opportunity to recapitulate the Socratic process for reinforcement … . Summing Up: Recommended. Lower-division undergraduates.” (D. V. Feldman, Choice, Vol. 47 (9), May, 2010)
“Hurlbert’s textbook focuses on the mathematics of linear programming and important connections to linear algebra, graph theory, convexity, and game theory. The author has adopted the Moore method in which students are given some basic terminology and definitions and are then asked to develop the subject by proving a series of theorems. … This textbook would be very suitable for an undergraduate course in linear programming that uses the Moore method.” (Brian Borchers, The Mathematical Association of America, February, 2010)
“This text is … oriented toward duality as central to solving and understanding linear optimization problems. … Sequential steps in the ‘Workouts’ help guide the student through the discovery process. … this book would be an excellent choice for an instructor wishing to teach linear optimization to a motivated class. There is enough in here to sustain every taste and approach and create an excellent first course in optimization.” (Steven R. Dunbar, SIAM Review, Vol. 53 (3), 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Linear Optimization
Book Subtitle: The Simplex Workbook
Authors: Glenn Hurlbert
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-79148-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-0-387-79147-0Published: 28 September 2009
Softcover ISBN: 978-1-4614-2455-0Published: 07 March 2012
eBook ISBN: 978-0-387-79148-7Published: 09 November 2009
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: XVII, 272
Number of Illustrations: 40 b/w illustrations
Topics: Mathematical Modeling and Industrial Mathematics, Probability Theory and Stochastic Processes, Operations Research, Management Science, Optimization, Combinatorics, Algorithms