轻松学微积分
Calculus Made Easy
Silvanus Phillips Thompson · 初版 1910 年
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为什么值得读
- 用无穷小量还原牛顿莱布尼茨直觉
- 直击本质而无多余的形式化废话
- 比现代教材更引人入胜且不枯燥
Thompson 所著关于微积分的经典书籍，最初于 1910 年出版；后由 Martin Gardner 在 1998 年补充新材料进行了修订。
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Calculus Made Easy
Silvanus Phillips Thompson · 初版 1910 年
Thompson 所著关于微积分的经典书籍，最初于 1910 年出版；后由 Martin Gardner 在 1998 年补充新材料进行了修订。
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要是有人想学微积分，我怎么推荐西尔瓦努斯·P·汤普森的《Calculus Made Easy》都不为过。这是那种老派的（没记错的话是1920年代）直奔主题的书，不会用那些为了把学数学搞得“好玩”而设计的没用废话来塞满你的脑子。这种……
If one wants to learn calculus, I can't recommend Silvanus P. Thompson's Calculus Made Easy enough. It's one of those old (1920's, IIRC) books that gets right down to brass tax, and doesn't clutter your understanding with useless fluff designed to make learning maths "fun". These kinds of…
……微积分平时的教法简直是一团糟。没有充分动机的 epsilon-delta 形式主义、微分，以及对计算的过度聚焦，全混在一起。对年轻学生来说，一本绝佳的入门教材是《Calculus Made Easy》。它大概有一百年的历史了，全程用无穷小量来展开内容。这本质上就是现代的非标准分析，只是少了点严密性。这也是牛顿和莱布尼茨当年思考微积分的方式，……
…calculus is usually taught is a mess. A mix of epsilon-delta formalism, without adequate motivation, differentials and excessive focus on computations. For young students, a great introductory textbook is Calculus Made Easy. It is around 100 years old, and develops all the material using infinitesimals. Which is essentially modern non-standard analysis, minus rigor. It is also the way Newton and Leibniz thought about calculus,…
……上学时，我跟一位比我大几岁的同事提过我明年要修微积分。他说他有本全世界最好的微积分书，于是把他的西尔瓦努斯·P·汤普森的《Calculus Made Easy》借给了我。我非常喜欢那本书，从它直观透彻的解释中受益匪浅，并永远感激他的推荐。如果我也能同样影响到这里的某个人，不管是为你自己还是为你认识的人，……
…school, I mentioned I'd be taking Calculus next year to a co-worker a couple years older than I. He said he had the best book in the world on Calculus, and he loaned me his copy of Silvanus P Thompson's Calculus made easy. I thoroughly enjoyed that book, benefited from its intuitive explanations, and forever appreciated his recommendation. If I may similarly influence anyone here, for themselves or someone they know,…
我在别人的 Twitter 信息流里偶然看到了西尔瓦努斯·汤普森的《Calculus Made Easy》。1910年出版的，读起来远没有许多数学教材那么吓人，而且有趣得多。https://www.gutenberg.org/files/33283/33283-pdf.pdf
I came across-Calculus Made Easy by Silvanus Thompson,on someones twitter feed. Published in 1910 and far less scary and far more interesting to read than a lot of math text books. https://www.gutenberg.org/files/33283/33283-pdf.pdf
学完向量微积分之后，我想回归基础，去理解本质而不是死记硬背。我偶然发现了西尔瓦努斯·汤普森 1910 年那本再版的教材《Calculus Made Easy》[1]，它绝对是我钻研过的所有领域里最棒的入门读物，没有之一。1. http://www.amazon.co.uk/Calculus-Made-Easy-Very-Simplest-Int...
After Vector Calc, I wanted to go back to the fundamentals, to understand instead of remembering. I came across Silvanus Thompson's 1910 reprinted textbook Calculus Made Easy [1], and it was hands down the best primer on any topic I've delved into. 1. http://www.amazon.co.uk/Calculus-Made-Easy-Very-Simplest-Int...
你读过《Calculus Made Easy》吗？如果你只是想学点微积分搞明白为什么扔出的球会走抛物线轨迹，其实真没那么难。典型的大学课程目标要高得多——它试图灌输一种……
Did you ever read Calculus Made Easy? If you just want to understand enough calculus to know why a thrown ball follows a parabola, that really isn't hard. The typical university course aims higher than that - it's trying to instill a way…