{"product_id":"9789814412537","title":"Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker","description":"\u003cp\u003eBased 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.\u003c\/p\u003e\u003cp\u003eStarting 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 algorithm.\u003c\/p\u003e \u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eFourier–Motzkin Elimination \u003c\/li\u003e\n\u003cli\u003eAffine Subspaces\u003c\/li\u003e\n\u003cli\u003eConvex Subsets\u003c\/li\u003e\n\u003cli\u003ePolyhedra\u003c\/li\u003e\n\u003cli\u003eComputations with Polyhedra\u003c\/li\u003e\n\u003cli\u003eClosed Convex Subsets and Separating Hyperplanes\u003c\/li\u003e\n\u003cli\u003eConvex Functions\u003c\/li\u003e\n\u003cli\u003eDifferentiable Functions of Several Variables\u003c\/li\u003e\n\u003cli\u003eConvex Functions of Several Variables\u003c\/li\u003e\n\u003cli\u003eConvex Optimization\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendices:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eAnalysis\u003c\/li\u003e\n\u003cli\u003eLinear (In)dependence and the Rank of a Matrix\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Undergraduates focusing on convexity and optimization.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185517478128,"sku":"9789814412537","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814412537_p0.jpg?v=1763692087","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814412537","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}