{"product_id":"the-heart-of-calculus-explorations-and-applications-hardback-9780883857878","title":"The Heart of Calculus; Explorations and Applications (Hardback) 9780883857878","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Heart of Calculus\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eExplorations and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAccessible enrichment material for talented undergraduate students taking courses in calculus, differential equations, modelling, and real analysis.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePhilip M. Anselone (Author), John Lee (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780883857878, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 13 August 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e245 pages\u003cbr\u003e26.1 x 18.2 x 1.8 cm, 0.6 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\"\u003eTargeting talented students who seek a deeper understanding of calculus and its applications, this book contains enrichment material for courses in first- and second-year calculus, differential equations, modelling, and introductory real analysis. Maintaining a high level of rigour whilst avoiding epsilons and deltas, the explorations, problems, and projects in the book impart a deeper understanding of the mathematical reasoning that lies at the heart of calculus and conveys its beauty and depth. The presentation is friendly and accessible to students at various levels of mathematical maturity, requiring only basic logical reasoning skills as a prerequisite. The sixteen largely independent chapters, divided equally between pure and applied mathematics, present material that includes fundamentals of differential calculus and celestial motion and gravitation, along with other significant topics chosen for their intrinsic interest, historical influence, and continuing importance.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e The foundation on which calculus stands\u003cbr\u003e 1. Critical points and graphing\u003cbr\u003e 2. Inverse functions\u003cbr\u003e 3. Exponential and logarithmic functions\u003cbr\u003e 4. Linear approximation and Newton's method\u003cbr\u003e 5. Taylor polynomial approximation\u003cbr\u003e 6. Global extreme values\u003cbr\u003e 7. Angular velocity and curvature\u003cbr\u003e 8. π and e are irrational\u003cbr\u003e 9. Hanging cables\u003cbr\u003e 10. The Buffon needle problem\u003cbr\u003e 11. Optimal location\u003cbr\u003e 12. Energy\u003cbr\u003e 13. Springs and pendulums\u003cbr\u003e 14. Kepler's laws of planetary motion\u003cbr\u003e 15. Newton's law of universal gravitation\u003cbr\u003e 16. From Newton to Kepler and beyond\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Integral calculus \u0026amp; equations [\u003ca title=\"See our other books on Integral calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Integral%20calculus%20\u0026amp;%20equations%20%5BPBKL%5D%22\"\u003ePBKL\u003c\/a\u003e], Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\u003c\/a\u003e], Complex analysis, complex variables [\u003ca title=\"See our other books on Complex analysis, complex variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Complex%20analysis,%20complex%20variables%20%5BPBKD%5D%22\"\u003ePBKD\u003c\/a\u003e], Real analysis, real variables [\u003ca title=\"See our other books on Real analysis, real variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Real%20analysis,%20real%20variables%20%5BPBKB%5D%22\"\u003ePBKB\u003c\/a\u003e], Calculus \u0026amp; mathematical analysis [\u003ca title=\"See our other books on Calculus \u0026amp; mathematical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Calculus%20\u0026amp;%20mathematical%20analysis%20%5BPBK%5D%22\"\u003ePBK\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\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":52410739163416,"sku":"9780883857878","price":39.77,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780883857878i.jpg?v=1784250978","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-heart-of-calculus-explorations-and-applications-hardback-9780883857878","provider":"Freshly Printed Books","version":"1.0","type":"link"}