Algebra and Tiling by Sherman Stein
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 Redei'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.
'Algebra and Tiling is perfect for bringing alive an abstract algebra courseIntuitive 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
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 Szabo received his PhD from Eoetvoes University. He currently teaches in the Institute of Mathematics and Informatics at the University of Pecs, in Hungary.
| SKU | Unavailable |
| ISBN 13 | 9780883850282 |
| ISBN 10 | 0883850281 |
| Title | Algebra and Tiling |
| Author | Sherman Stein |
| Series | Carus Mathematical Monographs |
| Condition | Unavailable |
| Publisher | Mathematical Association of America |
| Year published | 1996-09-05 |
| Number of pages | 218 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |