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.‎