{"title":"Roberto Bonola","description":null,"products":[{"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":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49932485460241,"sku":"GOR002471400","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50405517230353,"sku":"CIN0486600270VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":51898778026257,"sku":"CIN0486600270A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486600270.jpg?v=1750975798"},{"product_id":"geometria-non-euclidea-book-roberto-bonola-9781015662803","title":"La Geometria Non-euclidea","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51013635408145,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51013637570833,"sku":"NIN9781015662803","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1015662803.jpg?v=1751014520"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9781602064652","title":"Non-Euclidean Geometry","description":"Non-Euclidean Geometry is a history of the alternate geometries that have emerged since the rejection of Euclids parallel postulate. Italian mathematician ROBERTO BONOLA (18741911) begins by surveying efforts by Greek, Arab, and Renaissance mathematicians to close the gap in Euclids axiom. Then, starting with the 17th century, as mathematicians began to question whether it was actually possible to prove Euclids postulate, he examines non-Euclidean predecessors Saccheri, Lambert, Legendre, W. Bolyai, Wachter, and Thibaut, and non-Euclidean founders Gauss, Schweikart, Taurinus, Lobachevski, and J. Bolyai. He concludes with a look at later developments in non-Euclidean geometry. Including five appendices and an index of authors, Bonolas Non-Euclidean Geometry is a useful reference guide for students of mathematical history.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51037923279121,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51037925867793,"sku":"NIN9781602064652","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1602064652.jpg?v=1750992107"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9780548957226","title":"Non-Euclidean Geometry","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51134865604881,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51134868095249,"sku":"NIN9780548957226","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0548957223.jpg?v=1751039991"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9780548632437","title":"Non-Euclidean Geometry","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51198480974097,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51198483464465,"sku":"NIN9780548632437","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/054863243X.jpg?v=1751392084"},{"product_id":"geometria-non-euclidea-book-roberto-bonola-9781015666559","title":"La Geometria Non-euclidea","description":"\u003cp\u003eThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.\u003c\/p\u003e\u003cp\u003eThis work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.\u003c\/p\u003e\u003cp\u003eScholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51223114449169,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51223115727121,"sku":"NIN9781015666559","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1015666558.jpg?v=1750917442"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9781169986749","title":"Non-Euclidean Geometry","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52782663729425,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52782663926033,"sku":"NIN9781169986749","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781169986749.jpg?v=1764034136"},{"product_id":"non-euclidean-geometry-a-critical-and-historical-study-of-its-development-book-roberto-bonola-9781017733938","title":"Non-Euclidean Geometry; a Critical and Historical Study of its Development","description":null,"brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":53035796005137,"sku":"NIN9781017733938","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781017733938.jpg?v=1768749237"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9781164315049","title":"Non-Euclidean Geometry","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53088749912337,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53088749977873,"sku":"NIN9781164315049","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781164315049.jpg?v=1770077429"},{"product_id":"non-euclidean-geometry-book-roberto-bonola-9781169983380","title":"Non-Euclidean Geometry","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53088772423953,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53088772686097,"sku":"NIN9781169983380","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781169983380.jpg?v=1770077886"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-roberto-bonola.oembed","provider":"World of Books ","version":"1.0","type":"link"}