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The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of mathematical programming whose research fields are applied mathematics and economics. The text consists of a systematic development in eight chapters, with guided exercises containing sometimes significant and useful additional results. The book is appropriate as a class text, or for self-study.

Operational research. Game theory --- Convex functions --- Mathematical optimization --- Applied mathematics. --- Engineering mathematics. --- Economic theory. --- Operations research. --- Decision making. --- Calculus of variations. --- Applications of Mathematics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Operations Research/Decision Theory. --- Calculus of Variations and Optimal Control; Optimization. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Economic theory --- Political economy --- Social sciences --- Economic man --- Engineering --- Engineering analysis --- Mathematical analysis --- Decision making --- Mathematics