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.
eBook - PDF
A Mathematical Space Odyssey
Solid Geometry in the 21st Century
- 288 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
Information
Subtopic
Mathematics GeneralIndex
MathematicsTable of contents
- Cover
- Half title
- Copyright
- Title
- Epigraph
- Series
- Dedication
- Preface
- Contents
- 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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Yes, you can access A Mathematical Space Odyssey by Claudi Alsina,Roger B. Nelsen in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.