000 02235nam a22003498a 4500
001 CR9781139003858
003 UkCbUP
005 20180107143414.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110124s2013||||enk s ||1 0|eng|d
020 _a9781139003858 (ebook)
020 _z9781107601017 (hardback)
040 _aUkCbUP
_cUkCbUP
_erda
050 0 0 _aQA649
_b.S353 2014
082 0 0 _a516.3/74
_223
100 1 _aSchneider, Rolf,
_eauthor.
245 1 0 _aConvex Bodies: The Brunn–Minkowski Theory / [electronic resource]
_cRolf Schneider.
250 _a2nd ed.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (760 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aEncyclopedia of Mathematics and its Applications ;
_vno. 151
500 _aTitle from publisher's bibliographic system (viewed on 09 Oct 2015).
520 _aAt the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.
650 0 _aConvex bodies
776 0 8 _iPrint version:
_z9781107601017
830 0 _aEncyclopedia of Mathematics and its Applications ;
_vno. 151.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781139003858
_zCambridge Books Online
999 _c236644
_d236644