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Titlebook: Calculus Made Easy; Silvanus P. Thompson,Martin Gardner Textbook Nov 1999Latest edition Macmillan Publishers Limited 1998

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11#
發(fā)表于 2025-3-23 09:46:50 | 只看該作者
irst major revision of the text since 1946, Martin Gardner - the ‘Mathematical Games‘ columnist forScientific Americanand author of over 50 books and innumerable articles - has thoroughly updated the text to reflect recent developments in method and terminology, written an extensive preface and thre
12#
發(fā)表于 2025-3-23 16:52:37 | 只看該作者
13#
發(fā)表于 2025-3-23 21:49:31 | 只看該作者
14#
發(fā)表于 2025-3-23 22:16:50 | 只看該作者
Lecture Notes in Computer Science, as applied to curves, . means the . of the curve. But what can . mean in this case? Clearly it means the rate (per unit of length .) at which the slope is changing—in brief, it is ., that is, whether the slope of the curve increases or decreases when . increases, or, in other words, whether the curve curves up or down towards the right.
15#
發(fā)表于 2025-3-24 05:00:24 | 只看該作者
Next Stage. What to Do with Constantsrd the value of . as depending on that of .. Both . and . are variables, but . is the one that we operate upon, and . is the “dependent variable”. In all the preceding chapters we have been trying to find out rules for the proportion which the dependent variation in . bears to the variation independently made in ..
16#
發(fā)表于 2025-3-24 07:27:42 | 只看該作者
When Time Variestravelled from its starting place goes on ever increasing as time goes on. Trees grow taller as the years go by. Which is growing at the greater rate: a plant 12 inches high which in one month becomes 14 inches high, or a tree 12 feet high which in a year becomes 14 feet high?
17#
發(fā)表于 2025-3-24 12:12:59 | 只看該作者
18#
發(fā)表于 2025-3-24 15:33:12 | 只看該作者
19#
發(fā)表于 2025-3-24 20:43:33 | 只看該作者
Xin Wang,Peng Yu,Mingzhi Mao,Ning Tanquantity that we can vary; and, regarding the variation of . as a sort of ., we consider the resulting variation of . as an .. In other words, we regard the value of . as depending on that of .. Both . and . are variables, but . is the one that we operate upon, and . is the “dependent variable”. In
20#
發(fā)表于 2025-3-25 02:53:12 | 只看該作者
https://doi.org/10.1007/978-3-319-46687-3her quantity that varies when the time varies. Some things grow larger as time goes on; some other things grow smaller. The distance that a train has travelled from its starting place goes on ever increasing as time goes on. Trees grow taller as the years go by. Which is growing at the greater rate:
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