000 01921nam 2200289 a 4500
008 020803s2002 riu b 001 0 eng d
010 $a2002028208
015 $aGBA3-12100
019 1 $a23825413
020 $a0821829688 (alk. paper) :$cą42.00
035 $b2090745x
040 $aDLC$beng$cDLC$dOrLoB-B$dDLC
042 $apcc
050 00 $aQA639.5$b.B37 2002
082 00 $a516/.08$221
100 1 $aBarvinok, Alexander,$d1963-
245 12 $aA course in convexity /$cAlexander Barvinok.
260 $aProvidence, RI :$bAmerican Mathematical
Society,$c2002.
300 $ax, 366 p. ;$c26 cm.
440 0 $aGraduate studies in mathematics,$x1065-7339 ;$vv.
54.
504 $aIncludes bibliographical references and index.
505 0 $aCh. I. Convex Sets at Large -- Ch. II. Faces and
Extreme Points -- Ch. III. Convex Sets in Topological Vector
Spaces -- Ch. IV. Polarity, Duality and Linear Programming
-- Ch. V. Convex Bodies and Ellipsoids -- Ch. VI. Faces of
Polytopes -- Ch. VII. Lattices and Convex Bodies -- Ch.
VIII. Lattice Points and Polyhedra.
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 $aFunctinal analysis.
650 0 $aProgramming (Mathematics)
710 2 $aAmerican Mathematical Society.
