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...Flavors of geometry msri publications volume an elementary introduction to modern convex keith ball contents preface lecture basic notions spherical sections the cube fritz john s theorem ratios and octahedron brunn minkowski inequality its extensions convolutions reverse isoperimetric problem central limit large deviation inequalities concentration measure in dvoretzky acknowledgements references index these notes are based somewhat loosely on three series lectures given by myself j lindenstrauss g schechtman during introductory workshop held at mathematical sciences research institute berkeley early a fourth was b bollobas rapid mixing random algorithms they found elsewhere this book material discussed is not for most part very new but presentation has been strongly inuenced recent developments among other things it possible simplify many arguments light later discoveries instead giving comprehensive description state art i have tried describe two or more important ideas that havesha...