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Convex functions --- Mathematical optimization --- Nonlinear programming --- Fonctions convexes --- Optimisation mathématique --- Programmation non linéaire --- Optimisation mathématique --- Programmation non linéaire

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Nonlinear programming --- Programmation non linéaire --- 519.85 --- Programming (Mathematics) --- Mathematical programming --- Nonlinear programming. --- 519.85 Mathematical programming --- Programmation non linéaire

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Mathematical optimization --- Convex functions --- Programmation (mathématiques) --- Programmation non linéaire. --- Programming (Mathematics) --- Nonlinear programming --- Analyse convexe --- Programmation (mathématiques) --- Programmation non linéaire.

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Current1y there is a vast amount of literature on nonlinear programming in finite dimensions. The pub1ications deal with convex analysis and severa1 aspects of optimization. On the conditions of optima1ity they deal mainly with generali- tions of known results to more general problems and also with less restrictive assumptions. There are also more general results dealing with duality. There are yet other important publications dealing with algorithmic deve10pment and their applications. This book is intended for researchers in nonlinear programming, and deals mainly with convex analysis, optimality conditions and duality in nonlinear programming. It consolidates the classic results in this area and some of the recent results. The book has been divided into two parts. The first part gives a very comp- hensive background material. Assuming a background of matrix algebra and a senior level course in Analysis, the first part on convex analysis is self-contained, and develops some important results needed for subsequent chapters. The second part deals with optimality conditions and duality. The results are developed using extensively the properties of cones discussed in the first part. This has faci- tated derivations of optimality conditions for equality and inequality constrained problems. Further, minimum-principle type conditions are derived under less restrictive assumptions. We also discuss constraint qualifications and treat some of the more general duality theory in nonlinear programming.

Numerical methods of optimisation --- Business & Economics --- Economic Theory --- 519.8 --- Operational research --- 519.8 Operational research --- Mathematical optimization --- Nonlinear programming --- Duality theory (Mathematics) --- Dualité, Principe de (Mathématiques) --- Optimisation mathématique --- Programmation non linéaire --- Programmation (mathématiques)

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"Material and energy (M&E) balances are fundamental to biological, chemical, electrochemical, photochemical and environmental engineering disciplines and important in many fields related to sustainable development. This comprehensive compendium presents the basic M&E balance concepts and calculations in a format easily digested by students, engineering professionals and those concerned with related environmental issues. The useful reference text includes worked examples for each chapter and demonstrates process balances in the framework of M&E concerns of the 21st century. The additional problems and solutions in the Appendix embrace a wide range of subjects, from fossil fuels to fuel cells, solar energy, space stations, carbon dioxide capture and sodium-ion batteries.

Chemical processes --- Chemical engineering --- Mathematical optimization --- Nonlinear programming --- Conservation laws (Physics) --- Chemical processes. --- Mathematical optimization. --- Nonlinear programming. --- Procédés chimiques. --- Génie chimique --- Optimisation mathématique. --- Programmation non linéaire. --- Lois de conservation (physique) --- Mathematics. --- Mathématiques. --- Procédés chimiques. --- Génie chimique --- Optimisation mathématique. --- Programmation non linéaire. --- Mathématiques.