Contents: Optimality and Duality. - Mathematical Programming - Algorithms: -Computational Geometry. - Discrete Optimization. - Linear programming and Complementarity. - Nonlinear Programming. - Optimal Control: - Control Problems. - Distributed Parameter Systems; Stochastic Programming; Applied Modelling and Optimization: Biological and Medical Systems. - Computer-aided Modelling and Design. -Ecology. - Economy and Energy. - Financial Services. - Production and Logistics. - Stochastic Modelling.