Ebook: Principles of Mathematics in Operations Research

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.

The purpose of this book 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.

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 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. 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 summary, the author has carefully developed a pedagogically strong sur

The purpose of this book 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.

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 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. 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 summary, the author has carefully developed a pedagogically strong sur
Content:
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

The purpose of this book 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.

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 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. 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 summary, the author has carefully developed a pedagogically strong sur
Content:
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
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