By Károly Bezdek

ISBN-10: 1441905995

ISBN-13: 9781441905994

ISBN-10: 1461426200

ISBN-13: 9781461426202

Geometry is a classical middle a part of arithmetic which, with its delivery, marked the start of the mathematical sciences. hence, no longer strangely, geometry has performed a key position in lots of vital advancements of arithmetic long ago, in addition to in current instances. whereas targeting smooth arithmetic, one has to stress the expanding function of discrete arithmetic, or equivalently, the large circulation to set up discrete analogues of significant parts of arithmetic. during this manner, the works of a couple of awesome mathema- cians together with H. S. M. Coxeter (Canada), C. A. Rogers (United Kingdom), and L. Fejes-T oth (Hungary) ended in the recent and speedy constructing eld referred to as discrete geometry. possible brie y describe this department of geometry because the examine of discrete preparations of geometric items in Euclidean, in addition to in non-Euclidean areas. This, as a classical center half, additionally contains the speculation of polytopes and tilings as well as the speculation of packing and masking. D- crete geometry is pushed by way of difficulties usually that includes a really transparent visible and utilized personality. The suggestions use numerous tools of contemporary mat- matics, together with convex and combinatorial geometry, coding idea, calculus of diversifications, di erential geometry, staff concept, and topology, in addition to geometric research and quantity theory.

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Classical Topics in Discrete Geometry (CMS Books in Mathematics) by Károly Bezdek

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