{"product_id":"old-and-new-topics-in-franz-rothe-9798887031354","title":"Old and New Topics in Geometry: Volume II: Advanced Euclidean and Hyperbolic Geometry","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Franz Rothe\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 8887031355\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798887031354\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Litprime Solutions\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/28\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 504\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 4.09lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 1.50d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eKirkus Reviews\u003c\/i\u003e 01\/01\/0001","brand":"Franz Rothe","offers":[{"title":"Hardcover","offer_id":44131481616639,"sku":"9798887031354","price":49.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_726811ef-15c5-4076-819e-fa4c5d9eb771.jpg?v=1687474704","url":"https:\/\/www.whiterainbookhouse.com\/products\/old-and-new-topics-in-franz-rothe-9798887031354","provider":"WR Book House","version":"1.0","type":"link"}