Solid Geometry in the 21st Century
Edición de la obra A Mathematical Space Odyssey
| Autor | Claudi Alsina, Roger B. Nelsen |
|---|---|
| Editorial | American Mathematical Society |
| Fecha de publicación | Aug 18, 2015 |
| Idioma | inglés |
| Páginas | 288 |
| Formato | hardcover |
| ISBN-13 | 9780883853580 |
| ISBN-10 | 0883853582 |
| OCLC | 897450414 |
| LCCN | 2015936095 |
| Número de Cutter |
|---|
A461m |
Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.--Publisher description.