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Titlebook: Calculator Calculus; George McCarty Book 1982 EduCALC Publications 1982 Taylor series.calculus.derivative.differential equation.logarithm.

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發(fā)表于 2025-3-21 17:20:21 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Calculator Calculus
編輯George McCarty
視頻videohttp://file.papertrans.cn/221/220843/220843.mp4
圖書(shū)封面Titlebook: Calculator Calculus;  George McCarty Book 1982 EduCALC Publications 1982 Taylor series.calculus.derivative.differential equation.logarithm.
描述How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student‘s own personal involvement and easy accomplishment give hi~ reassurance and en- couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , ???? Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation.
出版日期Book 1982
關(guān)鍵詞Taylor series; calculus; derivative; differential equation; logarithm; maximum; mean value theorem; minimum
版次1
doihttps://doi.org/10.1007/978-1-4684-6484-9
isbn_softcover978-0-4191-2910-3
isbn_ebook978-1-4684-6484-9
copyrightEduCALC Publications 1982
The information of publication is updating

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Squares, Square Roots, and the Quadratic Formula, a square root is needed. For instance, knowing the square root is useful if you want to find the length of the side of a square field of a given area or the length of its diagonal when the side is known. The ancient Babylonian mathematicians were even solving quadratic equations in the time of Hamm
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More Functions and Graphs,nal solution, developed at the University of Bologna and published by Gerolamo Cardano in 1545, involves some complicated algebra and the extraction of both square roots and cube roots. The solution of the quartic equation is similar. As you will see in this chapter, it is now possible to solve such
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Differentiation, Derivatives, and Differentials,nd Baron Gottfried Wilhelm von Leibniz (1646–1716) first taught this idea, it has given us immeasurably valuable insight into change and the way our universe unfolds in time. It has been used to predict the future configurations of stars and planets, moving rocks and rockets, the stock market and ho
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Definite Integrals,s) as being made up of tiny pieces, each of which was a triangle or square or other regular figure. This is just the way you would think about the area of a tiled patio with a curved boundary. Since you know the area of each square tile, you need only count the tiles in order to obtain an approximat
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Logarithms and Exponentials, = .. Similarly, Chuquet found that division among terms corresponds to subtraction of exponents: .÷.= .. More than 100 years later John Napier made this idea useful by calculating “l(fā)ogarithms” for all 8-digit decimal fractions. It is difficult to overestimate the value of Napier’s log tables. They
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