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Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25) - Hardcover
Synopsis
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 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. Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper level algebra courses, but teachers, researchers and professional mathematicians will find the book equally appealing.
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About the Authors
Sherman Stein received his PhD from Columbia University. His research interests are primarily algebra and combinatorics. He has received the Lester R. Ford prize for exposition. He is now retired from teaching at the University of California, Davis.
Sandor Szabó received his PhD from Eötvös University. He currently teaches in the Institute of Mathematics and Informatics at the University of Pécs, in Hungary.
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Algebra and Tiling : Homorphisms in the Service of Geometry
Published by
American Mathematical Society, 1994
ISBN 10: 0883850281
ISBN 13: 9780883850282
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Algebra and Tiling : Homorphisms in the Service of Geometry
Published by
American Mathematical Society, 1994
ISBN 10: 0883850281
ISBN 13: 9780883850282
Used
Hardcover
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Algebra and Tiling : Homorphisms in the Service of Geometry
Published by
American Mathematical Society, 1994
ISBN 10: 0883850281
ISBN 13: 9780883850282
Used
Hardcover
Seller: Better World Books: West, Reno, NV, U.S.A.
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Condition: Good. Presentable Ex-Library. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Seller Inventory # GRP77895770
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Algebra and Tiling: Homomorphisms in the Service of Geometry
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Mathematical Association of America (MAA), 1996
ISBN 10: 0883850281
ISBN 13: 9780883850282
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Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs 25)
Published by
The Mathematical Association of America, 1996
ISBN 10: 0883850281
ISBN 13: 9780883850282
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Algebra and Tiling: Homomorphisms in the Service of Geometry
Published by
The Mathematical Association of America, 1996
ISBN 10: 0883850281
ISBN 13: 9780883850282
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Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25)
Published by
The Mathematical Association of America, 1996
ISBN 10: 0883850281
ISBN 13: 9780883850282
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Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs, Series Number 25)
Published by
Mathematical Association of America (MAA), 1996
ISBN 10: 0883850281
ISBN 13: 9780883850282
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