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Principles of Mathematics in Operations Research : International Series in Operations Research & Management Science - Levent Kandiller

Principles of Mathematics in Operations Research

International Series in Operations Research & Management Science

Hardcover Published: 1st October 2006
ISBN: 9780387377346
Number Of Pages: 297

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Operations Research is the application of scientific models, mathematical and statistical ones, to decision making problems, and 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.

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.

Industry Reviews

From the reviews:

"The unique selling point of this book is to initially explain the terminology and concepts needed to understand all the services. ... Overall, if I have to give a rating to the book, I am going to give 80 marks out of 100. ... aims to introduce or review the relationship between OR and mathematics. ... The best feature of the book is that it is a hardcore mathematics book. This book could be accepted as a reference book ... ." (S Kesharwani, Journal of the Operational Research Society, Vol. 59, 2008)

Introductionp. 1
Preliminary linear algebrap. 13
Orthogonalityp. 33
Eigen values and vectorsp. 51
Positive definitenessp. 71
Computational aspectsp. 81
Convex setsp. 93
Linear programmingp. 103
Number systemsp. 121
Basic topologyp. 137
Continuityp. 157
Differentiationp. 169
Power series and special functionsp. 175
Special transformationsp. 191
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387377346
ISBN-10: 0387377344
Series: International Series in Operations Research & Management Science
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 297
Published: 1st October 2006
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.95 x 16.31  x 2.46
Weight (kg): 0.64