000 02208nam 2200457 a 4500
001 32984534
003 DLC
005 20030328100903.0
008 020803s2002 riua b 001 0 eng
010 $a2002028208
020 $a0821829688 (alk. paper)
039 $eDM$zA
039 $aMARS
040 $aDLC$cDLC$beng$dCaOLU$dOrLoB-B
042 $apcc
050 00 $aQA639.5$b.B37 2002
082 00 $a516/.08$221
099 $aQA639.5.B37 2002
099 $aQA639.5.B37 2002
100 1 $aBarvinok, Alexander,$d1963-
245 12 $aA course in convexity /$cAlexander Barvinok.
260 $aProvidence, RI :$bAmerican Mathematical
Society,$cc2002.
263 $a0212.
300 $ax, 366 p. :$bill. ;$c26 cm.
440 0 $aGraduate studies in mathematics,$x1065-7339 ;$vv.
54.
504 $aIncludes bibliographical references and index.
520 1 $a"Barvinok demonstrates that simplicity, intuitive
appeal, and the universality of applications make teaching
(and learning) convexity a gratifying experience. The
prerequisites are minimal amounts of linear algebra,
analysis, and elementary topology, plus basic computational
skills. Portions of the book could be used by advanced
undergraduates. As a whole, it is designed for graduate
students interested in mathematical methods, computer
science, electrical engineering, and operations research.
The book will also be of interest to research
mathematicians, who will find some results that are recent,
some that are new, and many known results that are discussed
from a new perspective."--BOOK JACKET.
650 0 $aConvex geometry.
650 0 $aFunctional analysis.
650 0 $aProgramming (Mathematics)
970 01 $tPreface
970 11 $lCh. I$tConvex Sets at Large$p1
970 11 $lCh. II$tFaces and Extreme Points$p41
970 11 $lCh. III$tConvex Sets in Topological Vector
Spaces$p105
970 11 $lCh. IV$tPolarity, Duality and Linear
Programming$p143
970 11 $lCh. V$tConvex Bodies and Ellipsoids$p203
970 11 $lCh. VI$tFaces of Polytopes$p249
970 11 $lCh. VII$tLattices and Convex Bodies$p279
970 11 $lCh. VIII$tLattice Points and Polyhedra$p325
970 01 $tBibliography$p357
970 01 $tIndex$p363
