{"product_id":"non-euclidean-geometry-book-roberto-bonola-9780486600277","title":"Non-Euclidean Geometry","description":"\u003cp\u003eThis is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important.\u003cbr\u003e\u003ci\u003eNon-Euclidean Geometry\u0026gt;\u003c\/i\u003efirst examines the various attempts to prove Euclid's parallel postulate-by the Greeks, Arabs, and mathematicians of the Renaissance. Then, ranging through the 17th, 18th and 19th centuries, it considers the forerunners and founders of non-Euclidean geometry, such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachevski. In a discussion of later developments, the author treats the work of Riemann, Helmholtz and Lie; the impossibility of proving Euclid's postulate, and similar topics. The complete text of two of the founding monographs is appended to Bonola's study: The Science of Absolute Space by John Bolyai and Geometrical Researches on the Theory of Parallels by Nicholas Lobachevski. Firmly recommended to any scientific reader with some mathematical inclination -- \u003ci\u003eJournal of the Royal Naval Scientific Service.\u003c\/i\u003e Classic on the subject. -- \u003ci\u003eScientific American.\u003c\/i\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49566137614609,"sku":"CIN0486600270G","price":6.44,"currency_code":"USD","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49932485460241,"sku":"GOR002471400","price":30.99,"currency_code":"USD","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50405517230353,"sku":"CIN0486600270VG","price":4.39,"currency_code":"USD","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":51898778026257,"sku":"CIN0486600270A","price":6.56,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486600270.jpg?v=1750975798","url":"https:\/\/www.worldofbooks.com\/products\/non-euclidean-geometry-book-roberto-bonola-9780486600277","provider":"World of Books ","version":"1.0","type":"link"}