Topological Crystallography: With a View Towards Discrete Geometric Analysis (Surveys and Tutorials in the Applied Mathematical Sciences)
From the reviews:“The book’s main interest lies in the unexpected, pure mathematical thrust. The author’s ‘topological crystals’ emerge as prototypes--as cases simpler than the usual simplest cases­--of objects studied in deep theories such as algebraic number theory and algebraic geometry. The book is highly suitable for undergraduate capstone courses; all necessary algebraic topology is developed from scratch. Summing Up: Recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 51 (3), November, 2013)