Classical Topics in Discrete Geometry at Meripustak

Classical Topics in Discrete Geometry

Books from same Author: Károly Bezdek

Books from same Publisher: Springer Velage

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  • General Information  
    Author(s)Károly Bezdek
    PublisherSpringer Velage
    ISBN9781441905994
    Pages180
    BindingHardcover
    LanguageEnglish
    Publish YearJuly 2010

    Description

    Springer Velage Classical Topics in Discrete Geometry by Károly Bezdek

    Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in present times. While focusing on modern mathematics, one has to emphasize the increasing role of discrete mathematics, or equivalently, the broad movement to establish discrete analogues of major components of mathematics. In this way, the works of a number of outstanding mathema- cians including H. S. M. Coxeter (Canada), C. A. Rogers (United Kingdom), and L. Fejes-T oth (Hungary) led to the new and fast developing eld called discrete geometry. One can brie y describe this branch of geometry as the study of discrete arrangements of geometric objects in Euclidean, as well as in non-Euclidean spaces. This, as a classical core part, also includes the theory of polytopes and tilings in addition to the theory of packing and covering. D- crete geometry is driven by problems often featuring a very clear visual and applied character. The solutions use a variety of methods of modern mat- matics, including convex and combinatorial geometry, coding theory, calculus of variations, di erential geometry, group theory, and topology, as well as geometric analysis and number theory.