{"product_id":"calculus-and-its-origins-hardback-9780883855751","title":"Calculus and Its Origins (Hardback) 9780883855751","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCalculus and Its Origins\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid Perkins (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780883855751, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 April 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e180 pages\u003cbr\u003e26 x 18.2 x 1.4 cm, 0.46 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eCalculus answers questions that had been explored for centuries before calculus was born. Calculus and Its Origins begins with these ancient questions and details the remarkable story of how subsequent scholars wove these inquiries into a unified theory. This book does not presuppose knowledge of calculus, it requires only a basic knowledge of geometry and algebra (similar triangles, polynomials, factoring). Inside you will find the accounts of how Archimedes discovered the area of a parabolic segment, ibn Al-Haytham calculated the volume of a revolved area, Jyesthadeva explained the infinite series for sine and cosine, Wallis deduced the link between hyperbolas and logarithms, Newton generalized the binomial theorem, Leibniz discovered integration by parts, and much more. Each chapter ends with further results, in the form of exercises, by such luminaries as Pascal, Maclaurin, Barrow, Cauchy and Euler.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. The Ancients\u003cbr\u003e 2. East of Greece\u003cbr\u003e 3. Motion\u003cbr\u003e 4. Indivisibles\u003cbr\u003e 5. Quadrature\u003cbr\u003e 6. The Fundamental Theorem of Calculus\u003cbr\u003e 7. Notation\u003cbr\u003e 8. Chords\u003cbr\u003e 9. Zero over zero\u003cbr\u003e 10. Rigor.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: History of mathematics [\u003ca title=\"See our other books on History of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20mathematics%20%5BPBX%5D%22\"\u003ePBX\u003c\/a\u003e], Calculus [\u003ca title=\"See our other books on Calculus\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Calculus%20%5BPBKA%5D%22\"\u003ePBKA\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"The Mathematical Association of America","offers":[{"title":"Brand New","offer_id":52509170434328,"sku":"9780883855751","price":39.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780883855751i.jpg?v=1786495678","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/calculus-and-its-origins-hardback-9780883855751","provider":"Freshly Printed Books","version":"1.0","type":"link"}