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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Mathematical Space Odyssey
• Podnázev: Solid Geometry in the 21st Century
• Autor: Claudi Alsina, Roger Nelsen
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 286
• EAN: 9780883853580
• ISBN: 0883853582
• ID: 09236701
• Nakladatelství: Mathematical Association of America
• Hmotnost: 5 g
• Rozměry: 160 × 236 × 21 mm
• Datum vydání: 31. May 2015

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