An Elementary Treatise on the Differential and Integral Calculus PDF Download

Author: Silvestre François Lacroix
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 762

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Author: Silvestre François Lacroix
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 750

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As part of their campaign to introduce the continental notation into Great Britain, Babbage and his friends Herschel and Peacock translated and published S. F. Lacroix's Sur le calcul differentiel et integral (1802). Babbage had begun the task of translation while still at Cambridge, but for one reason or another set it aside uncompleted. "A few years later Peacock called on me in Devonshire Street, and stated that both Herschel and himself were convinced that the change from the dots to the d's would not be accomplished until some foreign work of eminence should be translated into English. Peacock then proposed that I should either finish the translation which I had commenced, or that Herschel and himself should complete the remainder of my translation. I suggested that we should toss up which alternative to take. It was determined by lot that we should make a joint translation." Some months after, the translation of the small work of Lacroix was published (Babbage 1864, 39). Part I of Lacroix's work, on differential calculus, was translated by Babbage; Part II, on integral calculus, was translated jointly by Peacock and Herschel. The "Appendix" was written by Herschel, and he and Peacock collaborated on the notes. Acceptance of the new notation was slow at first, but by 1820 the d-notation had triumphed at Cambridge, largely due to the support and influence of William Whewell, the future dean of Trinity College.

Author: Caren L. Diefenderfer
Publisher: American Mathematical Soc.
ISBN: 0883857618
Category : Mathematics
Languages : en
Pages : 529

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The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.

Author: Peter Michael Harman
Publisher: Manchester University Press
ISBN: 9780719017568
Category : Science
Languages : en
Pages : 280

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Author: William Sheehan
Publisher: Springer Nature
ISBN: 3030542181
Category : Science
Languages : en
Pages : 403

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The 1846 discovery of Neptune is one of the most remarkable stories in the history of science and astronomy. John Couch Adams and U.J. Le Verrier both investigated anomalies in the motion of Uranus and independently predicted the existence and location of this new planet. However, interpretations of the events surrounding this discovery have long been mired in controversy. Who first predicted the new planet? Was the discovery just a lucky fluke? The ensuing storm engaged astronomers across Europe and the United States. Written by an international group of authors, this pathbreaking volume explores in unprecedented depth the contentious history of Neptune’s discovery, drawing on newly discovered documents and re-examining the historical record. In so doing, we gain new understanding of the actions of key individuals and sharper insights into the pressures acting on them. The discovery of Neptune was a captivating mathematical moment and was widely regarded at the time as the greatest triumph of Newton’s theory of universal gravitation. The book therefore begins with Newton’s development of his ideas of gravity. It examines too the mathematical calculations related to the discovery of Neptune, using new theories and tools provided by advances in celestial mechanics over the past twenty years. Through this process, the book analyzes why the mathematical approach that proved so potent in the discovery of Neptune, grand as it was, could not help produce similar discoveries despite several valiant attempts. In the final chapters, we see how the discovery of Neptune marked the end of one quest—to explain the wayward motions of Uranus—and the beginning of another quest to fill in the map and understand the nature of the outer Solar System, whose icy precincts Neptune, as the outermost of the giant planets, bounds.

Author: Florian Cajori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 342

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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 498

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Author: D. Appleton and Company
Publisher:
ISBN:
Category : Best books
Languages : en
Pages : 468

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Author: Signet Library (Great Britain)
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 330

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Author: Signet Library (Great Britain)
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 176

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