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A Mathematical Space Odyssey - Solid Geometry in the 21st Century (Hardcover)
Loot Price: R1,683
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A Mathematical Space Odyssey - Solid Geometry in the 21st Century (Hardcover)
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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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