Contents -- 1. Introduction -- 1.1 Mathematical and Optimization Models -- 1.2 Structure of Nonlinear and Mixed-Integer Optimization Models -- 1.3 Illustrative Applications -- 1.3.1 Binary Distillation Design -- 1.3.2 Retrofit Design of Multiproduct Batch Plants -- 1.3.3 Multicommodity Facility Location-Allocation -- 1.4 Scope of the Book -- PART 1 FUNDAMENTALS OF CONVEX ANALYSIS AND NONLINEAR OPTIMIZATION -- 2. Convex Analysis -- 2.1 Convex Sets -- 2.2 Convex and Concave Functions -- 2.3 Generalizations of Convex and Concave Functions -- 3. Fundamentals of Nonlinear Optimization -- 3.1 Unconstrained Nonlinear Optimization -- 3.2 Constrained Nonlinear Optimization -- 4. Duality Theory -- 4.1 Primal Problem -- 4.2 Dual Problem -- 4.3 Weak and Strong Duality -- 4.4 Duality Gap and Continuity of Perturbation Function -- PART 2 FUNDAMENTALS OF MIXED-INTEGER OPTIMIZATION -- 5. Mixed-Integer Linear Optimization -- 5.1 Motivation -- 5.2 Formulation -- 5.3 Branch and Bound Method -- 6. Mixed-Integer Nonlinear Optimization -- 6.1 Motivation -- 6.2 Formulation -- 6.3 Generalized Benders Decomposition, GBD -- 6.4 Outer Approximations, OA -- 6.5 Outer Approximation with Equality Relaxation, OA/ER -- 6.6 Outer Approximation with Equality Relaxation and Augmented Penalty, OA/ER/AP -- 6.7 Generalized Outer Approximation, GOA -- 6.8 Comparison of GBD and OA-based Algorithms -- 6.9 Generalized Cross Decomposition, GCD -- PART 3 APPLICATIONS IN PROCESS SYNTHESIS -- 7. Process Synthesis -- 7.1 Introduction -- 7.2 Definition -- 7.3 Approaches in Process Synthesis -- 7.4 Optimization Approach in Process Synthesis -- 7.5 Application Areas -- 8. Heat Exchanger Network Synthesis -- 8.1 Introduction -- 8.2 Problem Statement -- 8.3 Targets for HEN Synthesis -- 8.4. Decomposition-based HEN Synthesis Approaches -- 8.5 Simultaneous HEN Synthesis Approaches.

9. Distillation-based Separation Systems Synthesis -- 9.1 Introduction -- 9.2 Synthesis of Heat-integrated Sharp Distillation Sequences -- 9.3 Synthesis of Nonsharp Distillation Sequences -- 10. Synthesis of Reactor Networks and Reactor-Separator-Recycle Systems -- 10.1 Introduction -- 10.2 Synthesis of Isothermal Reactor Networks -- 10.3 Synthesis of Reactor-Separator-Recycle Systems -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y -- Z.