The theory of convex sets is a vibrant and classical field of modern mathe matics with rich applications in economics and optimization the material in these notes is introductory starting with a small chapter. Lectures on convex sets kindle edition by valeriu soltan download it once and read it on your kindle device pc phones or tablets use features like bookmarks note taking and highlighting while reading lectures on convex sets. Lectures on convex sets is self contained and unified in presentation the book grew up out of various courses on geometry and convexity taught by the author for more than a decade it can be used as a textbook for graduate students and even ambitious undergraduates in mathematics optimization and operations research . Images and inverse images of convex sets under linear fractional functions are convex convex sets 2 14 example of a linear fractional function fx 1 x1 x2 1 x x1 x 2 c 1 0 1 1 0 1 x1 x 2 fc 1 0 1 1 0 1 convex sets 2 15 generalized inequalities a convex cone k rn is a proper cone if
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