[PDF.50ds] Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs)

Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs)

[PDF.rz86] Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs)

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 | #3498791 in Books |  The Mathematical Association of America |  1994-01 | Original language:English | PDF # 1 |  8.50 x.91 x5.43l,.85 | File type: PDF | 219 pages

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||0 of 5 people found the following review helpful.| Interesting chapter 1, then a bit stuck in a rut|By Viktor Blasjo|In chapter 1 we briefly look at Minkowski's geometric theory of numbers, namely a theory of quadratic forms based on the geometry of lattices. In the course of these investigations Minkowski conjectured that in a lattice tiling of n-space by cubes some two cubes must share a complete face. Minkowski proved this f| |'Algebra and Tiling is perfect for bringing alive an abstract algebra course. Intuitive but difficult problems of geometry are translated into algebraic problems more amenable to solution. Full of nice surprises, the book is a pleasure to read.' Choice|

Often questions about tiling space or a polygon lead to questions concerning algebra. For instance, tiling by cubes raises questions about finite abelian groups. Tiling by triangles of equal areas soon involves Sperner's lemma from topology and valuations from algebra. The first six chapters of Algebra and Tiling form a self-contained treatment of these topics, beginning with Minkowski's conjecture about lattice tiling of Euclidean space by unit cubes, and concluding wit...

You easily download any file type for your gadget.Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs)   |  Sherman Stein, Sandor Szabó. Which are the reasons I like to read books. Great story by a great author.

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