The Basics of Practical Optimization

Optimization is presented in most multivariable calculus courses as an application of the gradient, and while this treatment makes sense for a calculus course, there is much more to the theory of optimization. Optimization problems are generated constantly, and the theory of optimization has grown and developed in response to the challenges presented by these problems. This textbook aims to show readers how optimization is done in practice and help them to develop an appreciation for the richness of the theory behind the practice. Exercises, problems (including modeling and computational problems), and implementations are incorporated throughout the text to help students learn by doing. Python notes are inserted strategically to help readers complete computational problems and implementations. The Basics of Practical Optimization, Second Edition is intended for undergraduates who have completed multivariable calculus, as well as anyone interested in optimization. The book is appropriate for a course that complements or replaces a standard linear programming course.

Adam B. Levy is the Viola Ward Brinning and Elbert Calhoun Brinning Professor of Mathematics at Bowdoin College. He was recognized in 1997 with the college’s Sydney B. Karofsky Prize for excellence in undergraduate teaching and has published two research monographs in addition to dozens of journal articles in optimization. From 2004 to 2007, he was Bowdoin’s Associate Dean of Curriculum and Faculty Development, and he was Chair of the Mathematics Department for six years in the decade between 2007 and 2017.