《微积分速成》封面

微积分速成

Quick calculus

Daniel Kleppner、Norman Ramsey、Aviv Reʼuven、Universiṭah ha-petuḥah · 初版 1965 年

4人推荐
6位读者提及
6次提及

Hacker News 上怎么说

  • Daniel Kleppner 写的《Quick Calculus》。另外,如果你能找到旧版的双卷本《Thomas Calculus》,把第一卷买下来。把所有单数编号的习题都做一遍,书后有答案。我当年就是这么学会的!…

    Quick Calculus by Daniel Kleppner Also, if you can find an ancient copy of Thomas Calculus when it was two volumes. Buy the first volume. Solve all the odd problems, the solutions are in the back. That's how I learned!…

  • 我也推荐 Kleppner 的《Quick Calculus》。这本书帮了很多人。建议去找早期的二手版本,因为教材在所谓的“改进”过程中,往往会变得越来越臃肿,教学法上反而越改越差。

    I’d also recommend “Quick Calculus,” by Kleppner. It has helped a lot of people. I would search for an early, used addition, as textbooks tend to get more elaborate and worse pedagogically as they are “improved.”

  • …一开始很吃力,但我坚持了下来,连翻了足足半打不同的书,直到找到一本能让我彻底开窍的。凭这一点,我非常有底气推荐:去买 Kleppner 和 Ramsey 写的《Quick Calculus》。在概念刚接触、还觉得陌生的时候,培养数学直觉方面没有任何一本书能比得上它。一旦掌握了直觉,再随便看哪本好书都行。James Stewart 的书就…

    …time at first, and persevered by sampling a good half dozen different books till I found one that would make things click. These are my credentials for making the following recommendation: Get the book Quick Calculus by Kleppner and Ramsey. Nothing else I used came close, for developing intuition about the concepts when they're fresh and new. Once they have mastered that, any good book will do. James Stewart's is…

  • 我是成年后自学的,管用的路子是 Schaum's 辅导书加上在线视频。指望自己能啃完大部头教材根本不现实。另外再备一张代数速查表(cheat sheet),特别是常见代数错误的那种。《Quick Calculus》也是本好书。http://tutorial.math.lamar.edu/cheat_table.aspx

    I've done this as an adult and what worked was Schaum's plus online videos. The idea that you will work through long textbooks is not realistic. Also an algebra cheat sheet esp the common algebra errors. Quick Calculus is also a good book. http://tutorial.math.lamar.edu/cheat_table.aspx

  • …他们压根不提供任何具体服务。相反,他们是靠收取使用“他们”想法的授权费来牟利。这让我有点不寒而栗——我忍不住去想,如果牛顿当年把微积分给“申请了专利”,而他(假设存在的、贪得无厌的)后代和律师们又坚持主张他们有“权”分一杯羹,那我手头这本 Kleppner & Ramsey 的《Quick Calculus》(差不多 20 美元的书)得卖到多少钱啊。

    …do they provide a single service. Instead, they charge others for the right to use "their" ideas. It sends a bit of a chill down my spine -- I'm trying to imagine what my copy of Kleppner & Ramsey's 'Quick Calculus' (about a $20 book) would have cost if Newton had 'patented' Calculus, and if his (hypothetical, avaricious) descendants and their attorneys had insisted on their 'right' to a cut of the profits.

  • …就像戴着拳击手套做外科手术一样。话说回来,还有其他一些微积分教材目的相似,但风格不同。比如这两本:Daniel Kleppner 和 Norman Ramsey 的《Quick Calculus》——我高中上 AP Physics 时,我们用它来补数学底子。当时的物理教材是 Resnick 和 Halliday 的,整本书都在用微积分。它并不算特别靠直觉,但那种“程序化…

    …like you're trying to do surgery while wearing boxing gloves. Anyway, there are other calc books which have similar intents, though different styles. Here are two: Daniel Kleppner and Norman Ramsey, "Quick Calculus" - We used this for math background when I was taking AP Physics in high school. The physics textbook was Resnick and Halliday, which uses calc throughout. It is not particularly intuitive, but the "programmed…

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