{"product_id":"old-and-new-topics-in-geometry-volume-ii-advanced-euclidean-and-hyperbolic-geometry-9798887032504","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\", many notes for exercises, and endless extra reading are the bases for this bulky work.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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, and 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 contains 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. Too, 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","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46446726021271,"sku":"9798887032504","price":4661.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798887032504.webp?v=1769138288","url":"https:\/\/atlanticbooks.com\/products\/old-and-new-topics-in-geometry-volume-ii-advanced-euclidean-and-hyperbolic-geometry-9798887032504","provider":"Atlantic Books","version":"1.0","type":"link"}