000			02214nam a22003617a 4500
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020			_a9783030501792
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a514.17 _bHUG-L
100			_aHug, Daniel
245			_aLectures on convex geometry
260			_aSwitzerland : _bSpringer Nature, _c2020.
300			_axviii, 287p.
490			_aGraduate texts in mathematics, _v286. _x0072-5285;
504			_aIncludes bibliographical references and index.
520			_aThis book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.
650			_aConvex geometry.
650			_aAlgebraic geometry
650			_aConvex and Discrete Geometry.
650			_aDiscrete geometry.
650			_aFunctional analysis & transforms.
650			_aGeometry
650			_aIntegral calculus & equations.
650			_aBrunn-Minkowski theory
650			_aIntegral geometry
650			_aMeasure theory.
700			_aWeil, Wolfgang
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-50180-8/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/72699761-lectures-on-convex-geometry#CommunityReviews
942			_2udc _cN
999			_c35073 _d35073