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Carte Algebra and Tiling Sherman Stein

Algebra and Tiling

Homomorphisms in the Service of Geometry

Autor: Sherman Stein, Sandor Szabó
Limbă: engleză
Legare: Copertă tare
Editura: Mathematical Association of America
Disponibilitate: șansă 50%
Şanse de a obține acest titlu
239.65 lei
Often questions about tiling space or a polygon lead to questions concerning algebra. For instance,...

Informații despre carte

Autor
Sherman Stein, Sandor Szabó
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
1994
Pagini
218
EAN
9780883850282
ISBN
0883850281
Enbook ID
02186290
Editura
Mathematical Association of America
Greutate
4
Dimensiuni
148 x 215 x 20

Descriere completă

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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