{"product_id":"old-and-new-topics-in-geometry-volume-ii-advanced-euclidean-and-hyperbolic-geometry-9798887031354","title":"Old and New Topics in Geometry: Volume II: Advanced Euclidean and Hyperbolic Geometry","description":"\u003cp\u003e • Author(s): Franz Rothe\u003cbr\u003e • Publisher: Litprime Solutions\u003cbr\u003e • Publisher Imprint: Litprime Solutions\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eA decade long experience of teaching the course \"Fundamental of Geometry\", \u003c\/p\u003e\u003cp\u003emany notes for exercises, and endless extra reading are the bases for this bulky work.\u003c\/p\u003e\u003cp\u003e The online manuscript already includes many topics with many exercises including solutions and hundreds a elaborate computer generated drawings.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe first volume begins with Hilbert's axioms from the Foundations of Geometry, \u003c\/p\u003e\u003cp\u003eand goes on to projective, neutral and basic Euclidean geometry.\u003c\/p\u003e\u003cp\u003eThe present second volume deals with many more advanced topics form Euclidean geometry and\u003c\/p\u003e\u003cp\u003econtains a long treatise about hyperbolic geometry.\u003c\/p\u003e\u003cp\u003eHere the disk models of Poincar\\'e and Klein are used to do a lot of constructions, using straightedge and compass from the background Euclidean geometry.\u003c\/p\u003e\u003cp\u003eToo, Hilbert's axiomatic approach based on the asymptotic rays, is explained from the beginning up to the reconstruction of the Poincar\\'e disk model. The last section gives a short course on Gauss' differential geometry and the pseudo sphere.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Atlantic Books","offers":[{"title":"Hardcover","offer_id":46441245933719,"sku":"9798887031354","price":5212.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798887031354.webp?v=1769118124","url":"https:\/\/atlanticbooks.com\/products\/old-and-new-topics-in-geometry-volume-ii-advanced-euclidean-and-hyperbolic-geometry-9798887031354","provider":"Atlantic Books","version":"1.0","type":"link"}