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A Mathematical space odyssey solid geometry in the 21st century / Claudi Alsina, Universitat Politècnica de Catalunya, Roger B. Nelsen, Lewis & Clark College.
| Author/creator | Alsina, Claudi |
| Other author | Nelsen, Roger B. |
| Format | Electronic |
| Publication Info | Washington, DC: The Mathematical Association of America, [2015]. |
| Description | xiv, 272 pages : illustrations, maps ; 24 cm. |
| Supplemental Content | Full text available from Ebook Central - Public Library Complete |
| Subjects |
| Series | Dolciani Mathematical Expositions ; no. 50 Dolciani mathematical expositions no. 50. ^A65853 |
| Abstract | 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. |
| Bibliography note | Includes bibliographical references (pages 259-264) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2015936095 |
| ISBN | 9780883853580 (hbk) |
| ISBN | 0883853582 (hbk) |
| ISBN | 9780883855867 |
| ISBN | 0883855860 |