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

Alsina, Claudi; Nelsen, Roger

 
9780883853580: A Mathematical Space Odyssey: Solid Geometry in the 21st Century

Synopsis

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.

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À propos de l'auteur

Roger B. Nelsen, Professor Emeritus of Mathematics, Lewis & Clark College, USA.

Claudi Alsina, Professor of Mathematics, Polytechnic University of Catalonia, Spain.

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