2012/03/01 by Toshikazu Sunada · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Algebraic topology #Topology (electrical circuits) #Algebra over a field #Field (mathematics) #Algebraic number #Algebraic structure #Graph theory #Pure mathematics #Combinatorics #Mathematical analysis
paper · doi:10.1007/s11537-012-1144-4
openalex publication_date 2012/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
This is an expository article on modern crystallography based on discrete geometric analysis , a hybrid field of several traditional disciplines: graph theory, geometry, theory of discrete groups, and probability, which has been developed in the last decade. The mathematical part relying on algebraic topology is fairly elementary, but may be still worthwhile for crystallographers who want to learn how well-established mathematics is effectively used in the practical science. A brief history of crystallography is also explained.