Algebra and Tiling: Homomorphisms in the Service of Geometry: 25 (Carus Mathematical Monographs, Series Number 25) - Tapa dura

Stein, Sherman; Szabó, Sandor

 
9780883850282: Algebra and Tiling: Homomorphisms in the Service of Geometry: 25 (Carus Mathematical Monographs, Series Number 25)
Tapa dura
ISBN 10: 0883850281 ISBN 13: 9780883850282
Editorial: The Mathematical Association of America, 1996

Sinopsis

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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Acerca de los autores

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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Editorial
The Mathematical Association of America
Año de publicación
1996
Idioma
Inglés
ISBN 10 
0883850281
ISBN 13 
9780883850282
Encuadernación
Tapa dura
Número de páginas
218
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780883850411: Algebra and Tiling: Homomorphisms in the Service of Geometry: 25 (Carus Mathematical Monographs, Series Number 25)

Edición Destacada

ISBN 10:  0883850419 ISBN 13:  9780883850411
Editorial: The Mathematical Association of ..., 2010
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