{"product_id":"a-mathematical-space-odyssey-solid-geometry-in-the-21st-century-hardback-9780883853580","title":"A Mathematical Space Odyssey; Solid Geometry in the 21st Century (Hardback) 9780883853580","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Mathematical Space Odyssey\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSolid Geometry in the 21st Century\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA book for secondary school and university teachers that presents various techniques for proving mathematical results in three-dimensional Euclidean space.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eClaudi Alsina (Author), Roger Nelsen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780883853580, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 31 May 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e286 pages\u003cbr\u003e23.5 x 15.6 x 2 cm, 0.5 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSolid 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eContents\u003cbr\u003e Preface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Enumeration\u003cbr\u003e 3. Representation\u003cbr\u003e 4. Dissection\u003cbr\u003e 5. Plane sections\u003cbr\u003e 6. Intersection\u003cbr\u003e 7. Iteration\u003cbr\u003e 8. Motion\u003cbr\u003e 9. Projection\u003cbr\u003e 10. Folding and unfolding\u003cbr\u003e Solutions to the challenges\u003cbr\u003e References\u003cbr\u003e Index\u003cbr\u003e About the authors.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"The Mathematical Association of America","offers":[{"title":"Brand New","offer_id":52410739032344,"sku":"9780883853580","price":47.87,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780883853580i.jpg?v=1784250976","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-mathematical-space-odyssey-solid-geometry-in-the-21st-century-hardback-9780883853580","provider":"Freshly Printed Books","version":"1.0","type":"link"}