標(biāo)題: Titlebook: Calculus Made Easy; Silvanus P. Thompson Textbook 1965Latest edition Macmillan Publishers Limited 1965 analysis.calculus.mathematics [打印本頁] 作者: 美麗動(dòng)人 時(shí)間: 2025-3-21 17:26
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書目名稱Calculus Made Easy讀者反饋
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作者: 防御 時(shí)間: 2025-3-21 20:48 作者: 有助于 時(shí)間: 2025-3-22 01:05 作者: 刺激 時(shí)間: 2025-3-22 05:21 作者: 諷刺 時(shí)間: 2025-3-22 12:29
Tien-Vu Nguyen,Dinh Phung,Svetha VenkateshL. us try the effect of repeating several times over the operation of differentiating a function (see p. 11). Begin with a concrete case.作者: gain631 時(shí)間: 2025-3-22 15:36
Xu-Cheng Yin,Kaizhu Huang,Hong-Wei HaoS. one is stumped by finding that the expression to be differentiated is too complicated to tackle directly.作者: gain631 時(shí)間: 2025-3-22 18:46 作者: implore 時(shí)間: 2025-3-22 22:44
Zhichen Lai,Chenwei Tang,Jiancheng LvA quantity which varies continuously is said to pass by (or through) a maximum or minimum value when, in the course of its variation, the immediately preceding and following values are . smaller or greater, respectively, than the value referred to. An infinitely great value is therefore not a maximum value.作者: CESS 時(shí)間: 2025-3-23 01:56
Dong Huang,Chang-Dong Wang,Jian-Huang LaiL. there be a quantity growing in such a way that the increment of its growth, during a given time, shall always be proportional to its own magnitude. This resembles the process of reckoning interest on money at some fixed rate; for the bigger the capital, the bigger the amount of interest on it in a given time.作者: 評論者 時(shí)間: 2025-3-23 09:09
Kai Yao,Kaizhu Huang,Rui Zhang,Amir HussainGreek letters being usual to denote angles, we will take as the usual letter for any variable angle the letter . (“ theta ”).作者: Graduated 時(shí)間: 2025-3-23 13:41 作者: 大門在匯總 時(shí)間: 2025-3-23 16:00 作者: Initiative 時(shí)間: 2025-3-23 19:05 作者: Ovulation 時(shí)間: 2025-3-24 00:37 作者: ostensible 時(shí)間: 2025-3-24 03:05
On Different Degrees of Smallness,W. shall find that in our processes of calculation we have to deal with small quantities of various degrees of smallness.作者: 現(xiàn)代 時(shí)間: 2025-3-24 07:58
Simplest Cases,Now let us see how, on first principles, we can differentiate some simple algebraical expression.作者: 針葉類的樹 時(shí)間: 2025-3-24 14:08
Sums, Differences, Products, and Quotients,We have learned how to differentiate simple algebraical functions such as .. + . or .., and we have now to consider how to tackle the . of two or more functions.作者: GEON 時(shí)間: 2025-3-24 15:54 作者: 方便 時(shí)間: 2025-3-24 19:12
Introducing a Useful Dodge,S. one is stumped by finding that the expression to be differentiated is too complicated to tackle directly.作者: CLEFT 時(shí)間: 2025-3-25 03:09 作者: Occlusion 時(shí)間: 2025-3-25 06:12 作者: Urea508 時(shí)間: 2025-3-25 09:28 作者: 教唆 時(shí)間: 2025-3-25 13:54 作者: 得罪人 時(shí)間: 2025-3-25 19:47 作者: engrossed 時(shí)間: 2025-3-25 23:23 作者: Encapsulate 時(shí)間: 2025-3-26 02:31
On Finding Areas by Integrating,O. use of the integral calculus is to enable us to ascertain the values of areas bounded by curves.作者: 索賠 時(shí)間: 2025-3-26 04:21 作者: 抗體 時(shí)間: 2025-3-26 11:19 作者: 沒有準(zhǔn)備 時(shí)間: 2025-3-26 15:24
Mingyang Zhong,Brijesh Verma,Joseph Affumquantity 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作者: larder 時(shí)間: 2025-3-26 20:26
David Nebel,Barbara Hammer,Thomas Villmann 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: a 作者: drusen 時(shí)間: 2025-3-26 23:02
Bayram Bayramli,Usman Ali,Te Qi,Hongtao Luntities are space and time, by differentiating twice over we get the acceleration of a moving body, and that in the geometrical interpretation, as applied to curves . means the slope of the curve. But dhi what can . mean in this case? Clearly it means the rate (per unit of length x) at which the slo作者: 無彈性 時(shí)間: 2025-3-27 01:47
When Shen,Zhihua Wei,Zhiyuan Zhou the result is bound to be a complicated expression. If we could split the fraction into two or more simpler fractions such that their sum is equivalent to the original fraction, we could then proceed by differentiating each of these simpler expressions. And the result of differentiating would be th作者: alcohol-abuse 時(shí)間: 2025-3-27 06:48
https://doi.org/10.1007/978-3-642-34475-6ll such quantities as”. It therefore resembles that other symbol . (the Greek .), which is also a sign of summation. There is this difference, however, in the practice of mathematical men as to the use of these signs, that while . is generally used to indicate the sum of a number of finite quantitie作者: 闡釋 時(shí)間: 2025-3-27 12:28
https://doi.org/10.1007/978-1-349-00487-4analysis; calculus; mathematics作者: 吃掉 時(shí)間: 2025-3-27 16:41
Macmillan Publishers Limited 1965作者: dissolution 時(shí)間: 2025-3-27 20:59 作者: COLON 時(shí)間: 2025-3-27 23:28 作者: 革新 時(shí)間: 2025-3-28 02:24 作者: instulate 時(shí)間: 2025-3-28 07:24
David Nebel,Barbara Hammer,Thomas Villmannvelled 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?作者: encyclopedia 時(shí)間: 2025-3-28 10:31 作者: 彩色 時(shí)間: 2025-3-28 15:23 作者: 摻假 時(shí)間: 2025-3-28 21:16 作者: 機(jī)械 時(shí)間: 2025-3-29 00:00
Other Useful Dodges Partial Fractions,e sum of two (or more) differentials, each one of which is relatively simple; while the final expression, though of course it will be the same as that which could be obtained without resorting to this dodge, is thus obtained with much less effort and appears in a simplified form.作者: 包租車船 時(shí)間: 2025-3-29 05:26
Integration,s, the integral sign ? is generally used to indicate the summing up of a vast number of small quantities of indefinitely minute magnitude, mere elements in fact, that go to make up the total required. Thus ?.=. and ?.=..作者: 護(hù)身符 時(shí)間: 2025-3-29 07:50
Bayram Bayramli,Usman Ali,Te Qi,Hongtao Lupe is changing-in brief, it is an indication of the manner in which the slope of the portion of curve considered varies, that is, whether the slope of the curve increases or decreases when x increases, or, in other words, whether the curve curves up or down towards the作者: 珍奇 時(shí)間: 2025-3-29 15:26 作者: JIBE 時(shí)間: 2025-3-29 19:27
https://doi.org/10.1007/978-3-642-34475-6s, the integral sign ? is generally used to indicate the summing up of a vast number of small quantities of indefinitely minute magnitude, mere elements in fact, that go to make up the total required. Thus ?.=. and ?.=..作者: debase 時(shí)間: 2025-3-29 21:03 作者: inhibit 時(shí)間: 2025-3-30 02:58 作者: 狂亂 時(shí)間: 2025-3-30 04:13 作者: 退潮 時(shí)間: 2025-3-30 12:10 作者: 水土 時(shí)間: 2025-3-30 16:10
Other Useful Dodges Partial Fractions, the result is bound to be a complicated expression. If we could split the fraction into two or more simpler fractions such that their sum is equivalent to the original fraction, we could then proceed by differentiating each of these simpler expressions. And the result of differentiating would be th作者: orient 時(shí)間: 2025-3-30 17:14
Integration,ll such quantities as”. It therefore resembles that other symbol . (the Greek .), which is also a sign of summation. There is this difference, however, in the practice of mathematical men as to the use of these signs, that while . is generally used to indicate the sum of a number of finite quantitie作者: 衰老 時(shí)間: 2025-3-30 22:44
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