{"product_id":"worlds-out-of-nothing-jeremy-gray-9780857290595","title":"Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century","description":"\u003cp\u003eBased on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker's equations) and their role in resolving a paradox in the theory of duality; to Riemann's work on differential geometry; and to Beltrami's role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré's ideas about non-Euclidean geometry and their physical and philosophical significance. \u003c\/p\u003e \u003cp\u003eThree chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jeremy Gray\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0857290592\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780857290595\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/03\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 384\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.27lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.84d","brand":"Jeremy Gray","offers":[{"title":"Paperback","offer_id":43947404689663,"sku":"9780857290595","price":37.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_3195fad3-057e-4563-ac36-c4acefc9825b.jpg?v=1681518529","url":"https:\/\/www.whiterainbookhouse.com\/products\/worlds-out-of-nothing-jeremy-gray-9780857290595","provider":"WR Book House","version":"1.0","type":"link"}