Schweinzer P., Mathematical Methods for Economic Analysis

(Publication details not specified).We will start with a refresher on linear programming, particularly Lagrange Theory. The problems we will encounter should provide the motivation for the rest of the first part of this course where we will be concerned mainly with the mathematical foundations of optimization theory. This includes a revision of basic set theory, a look at functions, their continuity and their maximization in n-dimensional vector space (we will only occasionally glimpse beyond finite spaces). The main results are conceptual, that is, not illustrated with numerical computation but composed of ideas that should be helpful to understand a variety of key concepts in modern Microeconomics and Game Theory.