微积分
Calculus
Michael Spivak · 初版 1967 年
88人推荐
130位读者提及
175次提及
为什么值得读
- 采取以证明为核心的纯数学推导进路
- 难度高于普通大学教材促成思维蜕变
- 适合搭配公开课视频进行每日刷题自学
Spivak 的这本著名教材被广泛推崇为最优秀的 mathematical analysis 入门书籍之一。他的目标是将微积分展现为读者与真正数学的初次邂逅：在这里，人们将领悟到如何把逻辑推理与基本概念融为一体，构建成严密的数学理论，而非仅仅死记硬背一堆工具与技巧。鉴于 analysis 是学生传统上公认难以掌握的学科，Spivak 采用了一种从容不迫的讲解方式、辅以极其丰富的示例、广泛的练习题和海量图解，以循序渐进的轻松步调带领读者……
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你想找的到底是什么，难道不就是一本数学教材吗？讲真，数学家们学“真正”的数学也是这么学的。比如，如果你对微积分这门课已经没啥问题，而且想用“纯数学”的方式来学，我推荐 Michael Spivak 的《Calculus》。如果你从来没从头到尾死磕过一本纯数学教材，这书是个很好的开端……
What are you looking for that isn't simply a math textbook? Honestly, that's how mathematicians learn "actual" mathematical subjects, too. If you're comfortable with calculus as a subject, for example, and want a "pure mathematics" approach, I recommend Michael Spivak's Calculus. If you've never worked through a pure math textbook from start to finish, that's a good start.…
Michael Spivak 的《Calculus》。就像 SICP 能在编程上把你从高中生变成明智的成年人一样，这本书在数学上也能起到同样的效果。如果你觉得这本书……
The book 'Calculus' by Michael Spivak. In the same way that SICP transforms you from a high-schooler into a wise adult when it comes to programming, so too does Calculus when it comes to maths. If you find the book to…
有人知道怎么把这些干货落到实处、搞成一套像模像样的自学课程吗？买一本 Micheal Spivak 的《Calculus》。每天至少做一道题。把它当成一种仪式和日常硬性要求。看对应章节的 MIT 公开课。要学会这个，别纠结路线，而且……
Anybody have insight into how to actualize these nuggets into some semblance of a self-learning course? Buy Calculus by Micheal Spivak. Solve at least one problem every day. Make it ritual and a daily requirement. Watch MIT lectures for corresponding chapter you are on. To learn this, don't trouble over the path and…
你或许可以尝试刷一遍 Spivak 的《Calculus》[1] 教材。它比现在大学里用的大多数微积分教材都要硬核深入得多，所以你应该不会觉得只是在简单重复之前学过的东西。我会……
You may want to try working through Spivak's _Calculus_ [1] textbook. It is a bit more involved than most calculus textbooks used in universities today, so it will likely not feel like you are simply repeating something that you have already done. I would…
我同意。就微积分而言，我更迷恋像 Spivak 的书（http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098...）这种以证明为核心、从第一性原理出发来教微积分的流派。顺便提一下，……
I agree. As far as calculus goes, I am more enamored with books like Spivak's (http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098...) that take a proof-centric approach to teach calculus from first principles. Incidentally,…
我大学时就是学这本学的：https://www.amazon.com/Calculus-4th-Michael-Spivak/dp/091409... 我有史以来最喜欢的教材之一。（虽然当时还碰上了我最喜欢的老师之一，这肯定帮助很大就是了。）
i learned from this back in college: https://www.amazon.com/Calculus-4th-Michael-Spivak/dp/091409... one of my favorite text books ever. (tho it was paired w/ one of my favorite teachers ever, which i'm sure helped a lot.)