Science/Engineering Algebra and Tiling: Homomorphisms in the Service of Geometry (0883850281)

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Sherman Stein, Sandor Szabs, "Algebra and Tiling: Homomorphisms in the Service of Geometry"

Often questions about tiling space or a polygon lead to other questions. 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 with Laczkowicz's recent work on tiling by similar triangles. The concluding chapter presents a simplified version of Rédei's theorem on finite abelian groups: if such a group is factored as a direct product of subsets, each containing the identity element, and each of prime order, than at least one of them is a subgroup. Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper division algebra courses, but teachers, researchers and professional mathematicians will find the book equally appealing.

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	Science/Engineering Glimpses of Algebra and Geometry ISBN: 0387953450Title: Glimpses of Algebra and GeometryAuthor: Gabor TothPublisher: SpringerPublication Date: 2002-05-02Number Of Pages: 484Average Amazon Rating: 4.04.1 Mb pdfThe purpose of Glimpses of Algebra and Geometry is to fill a gap ...
	Science/Engineering Algebra and Geometry Alan F. Beardon , "Algebra and Geometry"Cambridge University Press \| 2005 \| English \| ISBN: 052181362X \| 340 pages \| PDF \| 1.4MB
	Science/Engineering The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative AlgebraPublisher: Springer \| Pages: 243 \| 2004-12-01 \| ISBN 0387222154 \| PDF \| 3 MBAlgebraic Geometry often seems very abstract, but in fact it is full ...
	Science/Engineering Linear Algebra and Geometry: A Second Course Irving Kaplansky, "Linear Algebra and Geometry: A Second Course" Dover Publications \| 2003 \| ISBN: 0486432335, 0828402795 \| 160 pages \| Djvu \| 4,2 MB The author of this text seeks to remedy a common failing in teaching algebra: the negl ...
	Science/Engineering Linear Algebra and Geometry Jean Dieudonne, "Linear Algebra and Geometry" Hermann \| 1969 \| ISBN-10: N/A \| ASIN: B000NOVO0S \| 207 pages \| Djvu \| 2,2 MB This book gives a complete and detailed account of the basic ideas and theorems of elementary linear algebra whic ...
	Mathematics Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs) Algebra and Tiling: Homomorphisms in the Service of GeometryEasy-ShareThat's enough mirrors. Restrain from adding more plz.

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