By Sherman Stein, Sandor Szabó

Usually questions about tiling area or a polygon result in questions relating algebra. for example, tiling by way of cubes increases questions on finite abelian teams. Tiling by means of triangles of equivalent parts quickly contains Sperner's lemma from topology and valuations from algebra. the 1st six chapters of Algebra and Tiling shape a self-contained therapy of those subject matters, starting with Minkowski's conjecture approximately lattice tiling of Euclidean area through unit cubes, and concluding with Laczkowicz's contemporary paintings on tiling via comparable triangles. The concluding bankruptcy provides a simplified model of Rédei's theorem on finite abelian teams. Algebra and Tiling is out there to undergraduate arithmetic majors, as lots of the instruments essential to learn the ebook are present in average top point algebra classes, yet lecturers, researchers mathematicians will locate the ebook both beautiful.

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