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Providing engineers with rigorous, systematic method for rapidly zeroing in on the most innovative, cost-effective solutions to some of today's most challenging engineering design problems, optimization is a powerful tool of the trade for engineers in virtually every discipline. Classical optimization techniques currently in use throughout a wide range of industries. Each chapter of the book deals with mathematical modelling through one or more specified techniques. Thus there are chapters on mathematical modeling through algebra, geometry, trigonometry and calculus, through ordinary differential equations of first and second order, through systems of differential equations, through partial differential equations, through functional equations and integral equations, through delay-differential, through calculus of variations and dynamic programming, through graphs, through mathematical programming, maximum principle and maximum entropy principle. Each chapter contains mathematicalmodels from physical, biological, social, management sciences and engineering and technology and illustrates unity in diversity of mathematical sciences.