| Description |
xiv, 272 pages : illustrations, maps ; 24 cm. |
| Series |
Dolciani Mathematical Expositions ; no. 50
|
| Bibliography |
Includes bibliographical references (pages 259-264) and index. |
| Summary |
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 |
| Subject |
Geometry, Solid -- History -- 21st century
|
|
Geometry
|
| Added Author |
Nelsen, Roger B
|
| ISBN |
9780883853580 (hbk) |
|
