Claudi Alsina, Universitat Politècnica de Catalunya, Roger B. Nelsen, Lewis & Clark College.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 272 pages :
Other Physical Details
illustrations, maps ;
Dimensions
24 cm.
SERIES
Series Title
Dolciani Mathematical Expositions ;
Volume Designation
no. 50
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 259-264) and index.
CONTENTS NOTE
Text of Note
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.
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SUMMARY OR ABSTRACT
Text of Note
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.--