| 书目名称 | Calculator Calculus | | 编辑 | George McCarty | | 视频video | http://file.papertrans.cn/221/220843/220843.mp4 | | 图书封面 |  | | 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 | | 关键词 | Taylor series; calculus; derivative; differential equation; logarithm; maximum; mean value theorem; minimum | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-6484-9 | | isbn_softcover | 978-0-4191-2910-3 | | isbn_ebook | 978-1-4684-6484-9 | | copyright | EduCALC Publications 1982 |
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