2015/07/09 by Diana Davis, Davis, Diana
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematics and Applications #math.DS
paper · pdf · doi:10.48550/arxiv.1507.02571
51 pages, 44 figures
arxiv created 2015/07/09 · openalex publication_date 2015/07/09 · arxiv updated 2015/07/10 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
This text is aimed at undergraduates, or anyone else who enjoys thinking about shapes and numbers. The goal is to encourage the student to think deeply about seemingly simple things. The main objects of study are lines, squares, and the effects of simple geometric motions on them. Much of the beauty of this subject is explained through the text and the figures, and some of it is left for the student to discover in the exercises. We want readers to "get their hands dirty" by thinking about examples and working exercises, and to discover the elegance and richness of this area of mathematics.