LEADER 01968nam a2200349 i 4500
001 991000330819707536
008 090714s2008    sz a     b    001 0 eng d
020   $a9783037190524
020   $a3037190523
035   $ab13842109-39ule_inst
040   $aDip.to Matematica$beng
082 04$a511.33
084   $aAMS 52C07
084   $aAMS 52B20
084   $aAMS 05A15
084   $aLC QA171.5.B38
100 1 $aBarvinok, Alexander$0322075
245 10$aInteger points in polyhedra /$cAlexander Barvinok
260   $aZurich :$bEuropean Mathematical Society,$c2008
300   $aviii, 189 p. :$bill. ;$c24 cm
440  0$aZurich lectures in advanced mathematics
504   $aIncludes bibliographical references (p. [187]-189) and index
505 0 $aThe algebra of polyhedra ; Linear transformations and polyhedra ; The structure of polyhedra ; Polarity ; Tangent cones : decompositions modulo polyhedra with lines ; Open polyhedra ; The exponential valuation ; Computing volumes ; Lattices, bases, and parallelepipeds ; The Minkowski convex body theorem ; Reduced basis ; Exponential sums and generating functions ; Totally unimodular polytopes ; Decomposing a 2-dimensional cone into unimodular cones via continued fractions ; Decomposing a rational cone of an arbitrary dimension into unimodular cones ; Efficient counting of integer points in rational polytopes ; The polynomial behavior of the number of integer points in polytopes ; A valuation on rational cones ; A "local" formula for the number of integer points in a polytope
650  0$aPolyhedral functions
650  0$aLattice theory
650  0$aPolynomials
907   $a.b13842109$b28-01-14$c14-07-09
912   $a991000330819707536
945   $aLE013 52C BAR11 (2008)$g1$i2013000292120$lle013$op$pE35.58$q-$rl$s-  $t0$u6$v0$w6$x0$y.i14995141$z30-07-09
996   $aInteger points in polyhedra$9229594
997   $aUNISALENTO
998   $ale013$b14-07-09$cm$da  $e-$feng$gsz $h0$i0