A Mathematical Space Odyssey

Solid Geometry in the 21st Century

Claudi Alsina, Roger B. Nelsen (Autoren)

Buch | Hardcover

271 Seiten

2015
Mathematical Association of America (Verlag)
9780883853580 (ISBN)

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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.

Roger B. Nelsen, Professor Emeritus of Mathematics, Lewis & Clark College, USA. Claudi Alsina, Professor of Mathematics, Polytechnic University of Catalonia, Spain.

Preface
1. Introduction
2. Enumeration
3. Representation
4. Dissection
5. Plane sections
6. Intersection
7. Iteration
8. Motion
9. Projection
10. Folding and Unfolding
Solutions to the Challenges
References
Index
About the Authors

Erscheint lt. Verlag	30.12.2015
Reihe/Serie	Dolciani Mathematical Expositions
Sprache	englisch
Maße	141 x 210 mm
Gewicht	508 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-13	9780883853580 / 9780883853580
Zustand	Neuware