{"product_id":"foundations-of-geometry-euclidean-bolyai-lobachevskian-and-projective-geometry-paperback","title":"Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry - Paperback","description":"\u003cp\u003eby \u003cb\u003eKarol Borsuk\u003c\/b\u003e (Author), \u003cb\u003eWanda Szmielew\u003c\/b\u003e (Author), \u003cb\u003eErwin Marquit\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eIn Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text.\u003cbr\u003eTopics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eKarol Borsuk (1905-82) was a prominent Polish mathematician and expert on topology and shape theory. He taught at Warsaw University and was a member of the Polish Academy of Sciences. \u003cbr\u003e Wanda Szmielew (1918-76) was a Polish mathematical logician who received her PhD at Berkeley in 1950, studying with Alfred Tarski. She is also the author of \u003ci\u003eFrom Affine to Euclidean Geometry: An Axiomatic Approach.\u003c\/i\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 464\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9 x 6 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 14, 2018\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756300960032,"sku":"9780486828091","price":34.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/f6623540c60c0bf7c12bcd8d1ea0bfca.webp?v=1780078339","url":"https:\/\/ebocreations.com\/products\/foundations-of-geometry-euclidean-bolyai-lobachevskian-and-projective-geometry-paperback","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}