HEA|  |01668cam a2200289 a 4500
001|  |022012000754
003|  |CAL
005|  |20091218135757.3
008|  |081004s2008    sz a     b    001 0 eng c
020|  |▼a9783037190524
020|  |▼a3037190523
040|  |▼aCOO▼cCOO▼dBTCTA▼dYDXCP▼dBWX▼dUtOrBLW
042|  |▼apcc
050| 4|▼aQA171.5▼b.B38 2008
093|  |▼aO187▼24
099|  |▼aCAL 022009186793
100|1 |▼aBarvinok, Alexander,▼d1963-
245|10|▼aInteger points in polyhedra -
   |  |/▼cAlexander Barvinok.
260|  |▼aZurich :▼bEuropean Mathemati-
   |  |cal Society,▼c2008.
300|  |▼aviii, 189 p. :▼bill. ;▼c24 cm.
440| 0|▼aZurich lectures in advanced -
   |  |mathematics.
504|  |▼aIncludes bibliographical ref-
   |  |erences (p. [187]-189) and index.
505|0 |▼aThe algebra of polyhedra －－ -
   |  |Linear transformations and pol-
   |  |yhedra －－ The structure of pol-
   |  |yhedra －－ Polarity －－ Tangent -
   |  |cones : decompositions modulo -
   |  |polyhedra with lines －－ Open p-
   |  |olyhedra －－ The exponential va-
   |  |luation －－ Computing volumes －－
   |  |- Lattices, bases, and paralle-
   |  |lepipeds －－ The Minkowski conv-
   |  |ex body theorem －－ Reduced bas-
   |  |is －－ Exponential sums and gen-
   |  |erating functions －－ Totally u-
   |  |nimodular polytopes －－ Decompo-
   |  |sing a 2-dimensional cone into-
   |  | unimodular cones via continue-
   |  |d fractions －－ Decomposing a r-
   |  |ational cone of an arbitrary d-
   |  |imension into unimodular cones-
   |  | －－ Efficient counting of inte-
   |  |ger points in rational polytop-
   |  |es －－ The polynomial behavior -
   |  |of the number of integer point-
   |  |s in polytopes －－ A valuation -
   |  |on rational cones －－ A "local"-
   |  | formula for the number of int-
   |  |eger points in a polytope.
650| 0|▼aPolyhedral functions.
650| 0|▼aLattice theory.
650| 0|▼aPolynomials.
998|  |▼aFDU

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