000 | 02235nam a22003498a 4500 | ||
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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. |
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300 |
_a1 online resource (760 pages) : _bdigital, PDF file(s). |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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490 | 0 |
_aEncyclopedia of Mathematics and its Applications ; _vno. 151 |
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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 |