A Mathematical Space Odyssey: Solid Geometry in the 21st Century

A-Mathematical-Space-Odyssey-Solid-Geometry-in-the-21st-CenturySolid 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.

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