About this Title
Diana Davis, Swarthmore College, Swarthmore, PA, Editor
Publication: AMS Non-Series Monographs
Publication Year: 2020; Volume 135
ISBNs: 978-1-4704-6122-5 (print); 978-1-4704-6322-9 (online)
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations.
Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify.
Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Graduate and undergraduate students and researchers interested in seeing beautiful and thought-provoking illustrations of mathematical ideas and getting ideas for creating one's own.
Table of Contents
- Paper & fiber arts
- Laser cutting
- Video & virtual reality
- 3D printing
- Mechanical constructions and other materials
- Multiple ways to illustrate the same thing