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035   $a(OCoLC)1029870899
035   $a(PPN)225553503
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100   $a20180321d2018      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometry Through History$b[electronic resource] $eEuclidean, Hyperbolic, and Projective Geometries /$fby Meighan I. Dillon
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XII, 350 p. 233 illus. in color.) 
311   $a3-319-74134-9 
327   $aPreface -- 1. The Elements of Euclid -- 2. Neutral Geometry -- 3. The Hyperbolic Plane -- 4. Hilbert's Grundlagen -- 5. More Euclidean Geometry -- 6. Models for the Hyperbolic Plane -- 7. Affine Geometry -- 8. An Introduction to Projective Geometry -- 9. Algebraic Curves -- 10. Rotations and Quaternions -- Index.
330   $aPresented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid?s system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises. For its sophisticated account of ancient to modern geometries, this text assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid?s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field.
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aMathematics
606   $aHistory
606   $aHyperbolic geometry
606   $aProjective geometry
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009
606   $aHyperbolic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21030
606   $aProjective Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21050
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615  0$aMathematics.
615  0$aHistory.
615  0$aHyperbolic geometry.
615  0$aProjective geometry.
615 14$aConvex and Discrete Geometry.
615 24$aHistory of Mathematical Sciences.
615 24$aHyperbolic Geometry.
615 24$aProjective Geometry.
676   $a519.009
700   $aDillon$b Meighan I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0888238
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910300127303321
996   $aGeometry Through History$91984168
997   $aUNINA