000			03242nam a22003615i 4500
001			280698
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007			cr nn 008mamaa
008			150903s2006 xxu| o |||| 0|eng d
020			_a9780817644512 _99780817644512
024	7		_a10.1007/0817644512 _2doi
035			_avtls000333499
039		9	_a201509030721 _bVLOAD _c201404120635 _dVLOAD _c201404090415 _dVLOAD _y201402041112 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA639.5-640.7
100	1		_aMoszy?ska, Maria. _eautor _9305814
245	1	0	_aSelected Topics in Convex Geometry / _cby Maria Moszy?ska.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2006.
300			_axvI, 226 páginas 30 ilustraciones Also available online. _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aI -- Metric Spaces -- Subsets of Euclidean Space -- Basic Properties of Convex Sets -- Transformations of the Space Kn of Compact Convex Sets -- Rounding Theorems -- Convex Polytopes -- Functionals on the Space Kn. The Steiner Theorem -- The Hadwiger Theorems -- Applications of the Hadwiger Theorems -- II -- Curvature and Surface Area Measures -- Sets with positive reach. Convexity ring -- Selectors for Convex Bodies -- Polarity -- III -- Star Sets. Star Bodies -- Intersection Bodies -- Selectors for Star Bodies.
520			_aThe field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good bibliography and index. The theory of intrinsic volumes for convex bodies, along with the Hadwiger characterization theorems, whose proofs are based on beautiful geometric ideas such as the rounding theorems and the Steiner formula, are treated in Part 1. In Part 2 the reader is given a survey on curvature and surface area measures and extensions of the class of convex bodies. Part 3 is devoted to the important class of star bodies and selectors for convex and star bodies, including a presentation of two famous problems of geometric tomography: the Shephard problem and the Busemann–Petty problem. Selected Topics in Convex Geometry requires of the reader only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefit from the book.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817643966
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/0-8176-4451-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280698 _d280698