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.
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.
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)
Introduction.- 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.- Solutions.- Index.