Principles of Mathematics in Operations Research

Levent Kandiller (auth.)0-387-37734-4, 978-0387-37734-6

Principles of Mathematics in Operations Research is a comprehensive survey of the mathematical concepts and principles of industrial mathematics. Its purpose is to provide students and professionals with an understanding of the fundamental mathematical principles used in Industrial Mathematics/OR in modeling problems and application solutions.

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, and the chapter exercises are refined from the previous year’s exercises. In sum, the author has carefully developed a pedagogically strong survey textbook of OR and Industrial Mathematics.

Table of contents :
Front Matter….Pages I-XII
Introduction….Pages 1-12
Preliminary Linear Algebra….Pages 13-32
Orthogonality….Pages 33-50
Eigen Values and Vectors….Pages 51-69
Positive Definiteness….Pages 71-79
Computational Aspects….Pages 81-91
Convex Sets….Pages 93-102
Linear Programming….Pages 103-119
Number Systems….Pages 121-135
Basic Topology….Pages 137-155
Continuity….Pages 157-168
Differentiation….Pages 169-174
Power Series and Special Functions….Pages 175-189
Special Transformations….Pages 191-203
Back Matter….Pages 205-300