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  • Textbook
  • © 2007

Principles of Mathematics in Operations Research

Authors:

  • 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

Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 97)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    Pages 1-12
  3. Orthogonality

    Pages 33-50
  4. Positive Definiteness

    Pages 71-79
  5. Computational Aspects

    Pages 81-91
  6. Convex Sets

    Pages 93-102
  7. Linear Programming

    Pages 103-119
  8. Number Systems

    Pages 121-135
  9. Basic Topology

    Pages 137-155
  10. Continuity

    Pages 157-168
  11. Differentiation

    Pages 169-174
  12. Special Transformations

    Pages 191-203
  13. Back Matter

    Pages 205-300

About this book

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.

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)

Authors and Affiliations

  • Middle East Technical University, Ankara, Turkey

    Levent Kandiller

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access