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Principles of Mathematics in Operations Research: International Series in Operations Research & Management Science, cartea 97

Autor Levent Kandiller
en Limba Engleză Hardback – 24 oct 2006
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.
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Specificații

ISBN-13: 9780387377346
ISBN-10: 0387377344
Pagini: 297
Ilustrații: XII, 298 p. 70 illus.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.64 kg
Ediția:2007
Editura: Springer Us
Colecția Springer
Seria International Series in Operations Research & Management Science

Locul publicării:New York, NY, United States

Public țintă

Professional/practitioner

Cuprins

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.

Recenzii

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)

Caracteristici

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