Principles of Mathematics in Operations Research

Over the past seven years, all the concepts presented in each chapter have undergone the learning scrutiny of the author and his students. The conceptual relationships within the chapter material have been developed in the classroom experience working with the students' level of understanding. The illustrative material throughout the book (i.e., worked-out problems and examples of the mathematical principles) was refined for student comprehension as the manuscript developed through its iterations. The chapter exercises were formulated each year and refined from the previous year's exercises.

The book uses a very broad spectrum of industrial mathematical applications, which include applications from deterministic (continuous, discrete, static, dynamic) modeling, combinatorics, regression, optimization, and graph theory. Also it's important to note that solutions of equation systems, geometric and conceptual visualization of abstract mathematical concepts have been included. In addition to the end-of-the-chapter exercises, active web resources have been provided at the end of each chapter as well. In sum, the author has carefully developed a pedagogically strong survey textbook of OR and Industrial Mathematics.