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

Stein, Sherman; Szabó, Sandor

Hardcover

ISBN 10: 0883850281 ISBN 13: 9780883850282

Publisher: The Mathematical Association of America, 1996

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.

About this title

Product Description:

The book is brand new and will be dispatched from UK.

Review:

'Algebra and Tiling is perfect for bringing alive an abstract algebra course. Intuitive 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

About this edition

• Publisher: The Mathematical Association of America
• Publication date: 1996
• ISBN 10: 0883850281
• ISBN 13: 9780883850282
• Binding: Hardcover
• Number of pages: 218