{"product_id":"thinking-geometrically-a-survey-of-geometries-hardback-9781939512086","title":"Thinking Geometrically; A Survey of Geometries (Hardback) 9781939512086","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThinking Geometrically\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Survey of Geometries\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eThomas Q. Sibley (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781939512086, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 10 December 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e509 pages\u003cbr\u003e26.2 x 18.2 x 3.5 cm, 1.13 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\"\u003eThis is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices include material from Euclid's first book, as well as Hilbert's axioms, and provide brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Euclidean geometry\u003cbr\u003e 2. Axiomatic systems\u003cbr\u003e 3. Analytic geometry\u003cbr\u003e 4. Non-Euclidean geometries\u003cbr\u003e 5. Transformational geometry\u003cbr\u003e 6. Symmetry\u003cbr\u003e 7. Projective geometry\u003cbr\u003e 8. Finite geometries\u003cbr\u003e 9. Differential geometry\u003cbr\u003e 10. Discrete geometry\u003cbr\u003e 11. Epilogue\u003cbr\u003e Appendix A. Definitions, postulates, common notions, and propositions from Book I of Euclid's Elements\u003cbr\u003e Appendix B. SMSG axioms for Euclidean geometry\u003cbr\u003e Appendix C. Hilbert's axioms for Euclidean plane geometry\u003cbr\u003e Appendix D. Linear algebra summary\u003cbr\u003e Appendix E. Multivariable calculus summary\u003cbr\u003e Appendix F. Elements of proofs\u003cbr\u003e Answers to selected exercises\u003cbr\u003e Acknowledgements\u003cbr\u003e Index.\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":52449446035736,"sku":"9781939512086","price":47.78,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781939512086i.jpg?v=1785199623","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/thinking-geometrically-a-survey-of-geometries-hardback-9781939512086","provider":"Freshly Printed Books","version":"1.0","type":"link"}