微积分（早期超越版）
Calculus, Early Transcendentals
James Stewart · 初版 1995 年
5人推荐
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为什么值得读
- 结构清晰适合配合预备课程打牢数学基础
- 内容富有指导性，是自学微积分的良好补充
本教材适用于传统的两学期或三学期大学微积分课程，系统介绍了微积分的基础知识。涵盖的主题包括但不限于：多项式函数、三角函数、指数函数和对数函数的复习，随后深入讨论极限、导数、微分在现实问题领域的应用、积分概述、基本积分技巧、积分的多样化应用，以及（微分方程组）常微分方程的基础入门。
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那样的话，我建议先从 Zill 的《Precalculus with Calculus Previews》起步，然后再死磕 Stewart 的《Calculus: Early Transcendentals》！
In that case, I recommend starting out with Zill's Precalculus with Calculus Previews and then working through Stewart's Calculus: Early Transcendentals!
在我用过的数学教材里，目前有两本好到让我一直留着：线性代数：http://www.amazon.ca/Linear-Algebra-Applications-CD-ROM-Upda... 微积分：http://www.amazon.ca/Calculus-Early-Transcendentals-Tools-En... 偏计算机科学方面，《算法导论》口碑极好。我自己倒没那么粉它，但链接在这：http://www.amazon.ca/Introduction-Algorithms-Thomas-H-Cormen...
Of the math textbooks I've used, two've been good enough to keep so far: Linear Algebra: http://www.amazon.ca/Linear-Algebra-Applications-CD-ROM-Upda... Calculus: http://www.amazon.ca/Calculus-Early-Transcendentals-Tools-En... on the more computer-sciency side, Introduction to Algorithms has a lot of good word-of-mouth. I'm not such a fan, myself, but here it is: http://www.amazon.ca/Introduction-Algorithms-Thomas-H-Cormen...
我还没看完，但我读了已故的詹姆斯·斯图尔特（James Stewart）写的《微积分：早期超越本》的大部分内容，觉得非常受用。对任何学微积分的人来说，它都是一本极好的补充教材。
I haven't finished it but I read most of the late James Stewart's "Calculus: Early Transcendentals" and found it very instructive. It would make a good supplement for anyone learning Calculus.
…这里有一份详细的学习计划，分为四个阶段：第一阶段：打下坚实基础。数学方面：线性代数：吉尔伯特·斯特朗的《线性代数及其应用》；微积分：詹姆斯·斯图尔特的《微积分：早期超越本》；概率论与数理统计：Ronald E. Walpole 等人合著的《工程师和科学家的概率与统计》；最优化：凸…
…Here's a detailed learning plan, broken down into four stages: Stage 1: Building a Strong Foundation Mathematics: Linear Algebra: "Linear Algebra and Its Applications" by Gilbert Strang Calculus: "Calculus: Early Transcendentals" by James Stewart Probability & Statistics: "Probability and Statistics for Engineers and Scientists" by Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, and Keying E. Ye Optimization: "Convex…
学微积分的话，我觉得《Thomas' Calculus》（https://www.amazon.com/Thomas-Calculus-Early-Transcendentals...）最有帮助。虽说是本教材，但练习题非常多。
For calculus, I found Thomas' Calculus (https://www.amazon.com/Thomas-Calculus-Early-Transcendentals...) the most helpful. It's a textbook but has a lot of exercises.
…实分析”，在那些书里它推荐了斯皮瓦克（Spivak）的《微积分》。我会考虑把斯皮瓦克提为必读，但拿它来学微积分而不是实分析，用来替换他们推荐的斯图尔特的《微积分：早期超越本》。通过像斯皮瓦克这样更严谨、偏向证明的微积分入门书来学微积分，你很可能就不需要单独一本证明入门书了，从而可以去掉推荐的…
…real analysis" from those it recommends Spivak's "Calculus". I'd consider promoting Spivak to essential, but using it for calculus rather than real analysis, replacing their recommendation of Stewart's "Calculus: Early Transcendentals". By doing calculus with a more rigorous, proof-oriented introductory calculus book like Spivak, there is a good chance you won't need a separate introduction to proofs book so can drop the recommended…