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" A Mathematical space odyssey : "
Claudi Alsina, Universitat Politècnica de Catalunya, Roger B. Nelsen, Lewis & Clark College.
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BL
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| Record Number
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639024
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dltt
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| Main Entry
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Alsina, Claudi.
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| Title & Author
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A Mathematical space odyssey : : solid geometry in the 21st century /\ Claudi Alsina, Universitat Politècnica de Catalunya, Roger B. Nelsen, Lewis Clark College.
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| Series Statement
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Dolciani Mathematical Expositions ;; no. 50
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| Page. NO
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xiv, 272 pages :: illustrations, maps ;; 24 cm.
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| ISBN
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9780883853580
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: 0883853582
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: 9780883855867
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: 0883855860
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9781614442165
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1614442169
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| Bibliographies/Indexes
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Includes bibliographical references (pages 259-264) and index.
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| Contents
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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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| Abstract
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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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| Subject
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Geometry, Solid-- History-- 21st century.
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Geometry.
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| LC Classification
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QA491.A47 2015
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| Added Entry
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Nelsen, Roger B.
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