TY - BOOK ID - 77945217 TI - Undergraduate convexity : from Fourier and Motzkin to Kuhn and Tucker PY - 2013 SN - 981441252X 9789814412520 9789814412537 9814412538 9781299556331 1299556337 9789814412513 9814412511 9789814452762 9814452769 PB - Singapore : World Scientific, DB - UniCat KW - Convex domains. KW - Algebras, linear. KW - Convex regions KW - Convexity KW - Calculus of variations KW - Convex geometry KW - Point set theory KW - Linear algebra KW - Algebra, Universal KW - Generalized spaces KW - Mathematical analysis KW - Calculus of operations KW - Line geometry KW - Topology UR - https://www.unicat.be/uniCat?func=search&query=sysid:77945217 AB - Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algori ER -