A mathematical space odyssey : solid geometry in the 21st century
著者
書誌事項
A mathematical space odyssey : solid geometry in the 21st century
（The Dolciani mathematical expositions, no. 50）
Mathematical Association of America, c2015
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注記
Include bibliographical references (p. 259-264) and index
内容説明・目次
内容説明
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.
目次
- Contents
- Preface
- 1. Introduction
- 2. Enumeration
- 3. Representation
- 4. Dissection
- 5. Plane sections
- 6. Intersection
- 7. Iteration
- 8. Motion
- 9. Projection
- 10. Folding and unfolding
- Solutions to the challenges
- References
- Index
- About the authors.
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