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Handbook of Discrete and Computational Geometry, Second Edition (Discrete Mathematics and Its Applications) [Hardcover]

Jacob E. Goodman (Editor), Joseph O'Rourke (Editor)

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Book Description

April 15, 2004 1584883014 978-1584883012 2
While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date.

Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications.

Highlights of the Second Edition:

  • Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory
  • Thorough revisions of all remaining chapters
  • Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software
  • Two indices: An Index of Defined Terms and an Index of Cited Authors
  • Greatly expanded bibliographies

  • Frequently Bought Together

    Customers buy this book with Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science) $40.27

    Handbook of Discrete and Computational Geometry, Second Edition (Discrete Mathematics and Its Applications) + Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science)
    Price For Both: $164.88

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    More About the Author

    I am a professor of Computer Science and of Mathematics at Smith College in Massachusetts in the USA. More information at my web page: http://cs.smith.edu/~orourke/ .

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    Inside This Book (learn more)
    First Sentence:
    The study of combinatorial properties of finite point configurations is a vast area of research in geometry, whose origins go back at least to the ancient Greeks. Read the first page
    Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
    computational geometry libraries, oriented ntatroids, geometric discrepancy theory, shatter function, lial axis, center transversal theorem, cyclic polvtope, geometric graph theory, polygonal linkages, computational real algebraic geometry, polyhedral maps, pseudoline arrangements, finite point configurations, trivial subdivision, ill general position, convex polvtopes, triangulated simple polygons, isotopy property, computational topology, regular skew polyhedra, computational convexity, geometric transversals, simplex range searching, neighborly polytopes, oriented inatroid
    Key Phrases - Capitalized Phrases (CAPs): (learn more)
    New York, Discrete Math, Discrete Comput, Euclidean Ramsey, Cambridge University Press, London Math, Theory Appl, Piotr Indyk, Theory Ser, Academic Press, Theory Scr, Discrete Cornput, Ill Pro, Special Year, World Scientific, Discrete Appl, Discrete Algorithms, Encyclopedia Math, Ili Proc, San Francisco, Discrctc Comput, Elsevier North-Holland, Las Vegas, Las Vergnas, San Mateo
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