Principles of Mathematics in Operations Research

This book is a comprehensive survey of the mathematical concepts and principles of industrial mathematics. It provides an understanding of the fundamental mathematical principles used in Industrial Mathematics/OR in modeling problems and application solutions.

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.

Each of the chapters has been developed in a textbook and easy-reference style to offer a concise review of industrial-related mathematical concepts. The concepts are built upon and illustrated with concrete examples throughout each chapter The problems at the end of each chapter have been designed not merely as simple exercises, but as in-depth problem solving tasks that require mastery of the chapter concepts Over 80 pages of solutions at the end of the book, divided by chapter for ease of use Kandiller undertook the writing of this book because the textbooks in the area were uniformly weak. Marlow, Mathematics for Operations Research (Wiley) and Hastings, Introduction to Mathematics of Operations Research with Mathematics, 2nd Ed. (CRC Press) are two competing examples This book will add to the very strong cluster of Springer textbooks we have in aspects of OR and Industrial Mathematics with the Luenberger Linear and Nonlinear Programming, 2nd Edition (the 3rd Edition should be published this year with Luenberger's Stanford colleague, Yinye Ye, as a co-author) Includes supplementary material: sn.pub/extras

Contenu
Preliminary Linear Algebra.- Orthogonality.- Eigen Values and Vectors.- Positive Definiteness.- Computational Aspects.- Convex Sets.- Linear Programming.- Number Systems.- Basic Topology.- Continuity.- Differentiation.- Power Series and Special Functions.- Special Transformations.