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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra - Softcover

Beck, Matthias; Robins, Sinai

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9781493929702: Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Softcover
ISBN 10: 1493929704 ISBN 13: 9781493929702
Publisher: Springer, 2015

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Synopsis

Preface.- The Coin-Exchange Problem of Frobenius.- A Gallery of Discrete Volumes.- Counting Lattice Points in Polytopes: The Ehrhart Theory.- Reciprocity.- Face Numbers and the Dehn-Sommerville Relations in Ehrhartian Terms.- Magic Squares.- Finite Fourier Analysis.- Dedekind Sums.- The Decomposition of a Polytope into Its Cones.- Euler-MacLaurin Summation in Rd.- Solid Angles.- A Discrete Version of Green's Theorem Using Elliptic Functions.- Appendix A: Triangulations of Polytopes.- Appendix B: Hints for Selected Exercises.- References.- Index.- List of Symbols.-

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  • PublisherSpringer
  • Publication date2015
  • ISBN 10 1493929704
  • ISBN 13 9781493929702
  • BindingPaperback
  • LanguageEnglish
  • Number of pages308
  • Rating
    • 4.20 out of 5 stars
      5 ratings by Goodreads

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Other Popular Editions of the Same Title

9781493938582: Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra (Undergraduate Texts in Mathematics)

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ISBN 10:  1493938584 ISBN 13:  9781493938582
Publisher: Springer, 2016
Softcover