A Mathematical Space Odyssey: Solid Geometry in the 21st Century (Dolciani Mathematical Expositions, 50)

by: Claudi Alsina (Author),Roger Nelsen(Author)

Publisher: The Mathematical Association of America
Edition: UK ed.

Publication Date: 31 May 2015

Language: English

Print Length: 286 pages

ISBN-10: 0883853582

ISBN-13: 9780883853580

Book Description

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.