试试迈克尔·斯皮瓦克（Michael Spivak）的《微积分漫游指南》（The Hitchhiker's Guide to Calculus）。读完之后，所有东西一下子全通了，同时也让我很气愤：高中老师当年怎么就不这么教我们呢。
Try "The Hitchhiker's Guide to Calculus" by Michael Spivak. After reading that, it all just made sense and at the same time made me angry that they didn't teach it like that to us in high school.
……很有用：Precalculus, Coursera, https://www.coursera.org/course/precalculus 《极简微积分前置数学》（Precalculus Mathematics In A Nutshell），George F. Simmons，http://www.amazon.com/Precalculus-Mathematics-Nutshell-Geome... 《微积分漫游指南》（The Hitchhiker's Guide to Calculus），Michael Spivak，http://www.amazon.com/Hitchhikers-Guide-Calculus-Michael-Spi... http://www.khanacademy.com http://www.reddit.com/r/learnmath/ http://www.math.stackexchange.com
…useful: Precalculus, Coursera, https://www.coursera.org/course/precalculus "Precalculus Mathematics In A Nutshell", George F. Simmons, http://www.amazon.com/Precalculus-Mathematics-Nutshell-Geome... "The Hitchhiker's Guide to Calculus", Michael Spivak, http://www.amazon.com/Hitchhikers-Guide-Calculus-Michael-Spi... http://www.khanacademy.com http://www.reddit.com/r/learnmath/ http://www.math.stackexchange.com
楼主数学“很差”，想从第一性原理（first principles）搞起。我觉得直接啃斯皮瓦克的教材来入坑微积分不是个好选择。如果楼主想要更温和一点的切入方式，在火力全开死磕斯皮瓦克大部头之前，他的《微积分漫游指南》（Hitchhiker's Guide to Calculus）可能是个更好的起步选择。
OP wants it from first principles as their maths is "poor" . I don't think Spivak is a good choice to jump right into calculus. If OP wanted a more softer approach, Spivak's Hitchhiker's Guide to Calculus is probably a better option first before going full Spivak.
试试迈克尔·斯皮瓦克（Michael Spivak）的《微积分漫游指南》（The Hitchhiker's Guide to Calculus）。读完之后，所有东西一下子全通了，同时也让我很气愤：高中老师当年怎么就不这么教我们呢。
Try "The Hitchhiker's Guide to Calculus" by Michael Spivak. After reading that, it all just made sense and at the same time made me angry that they didn't teach it like that to us in high school.
……很有用：Precalculus, Coursera, https://www.coursera.org/course/precalculus 《极简微积分前置数学》（Precalculus Mathematics In A Nutshell），George F. Simmons，http://www.amazon.com/Precalculus-Mathematics-Nutshell-Geome... 《微积分漫游指南》（The Hitchhiker's Guide to Calculus），Michael Spivak，http://www.amazon.com/Hitchhikers-Guide-Calculus-Michael-Spi... http://www.khanacademy.com http://www.reddit.com/r/learnmath/ http://www.math.stackexchange.com
…useful: Precalculus, Coursera, https://www.coursera.org/course/precalculus "Precalculus Mathematics In A Nutshell", George F. Simmons, http://www.amazon.com/Precalculus-Mathematics-Nutshell-Geome... "The Hitchhiker's Guide to Calculus", Michael Spivak, http://www.amazon.com/Hitchhikers-Guide-Calculus-Michael-Spi... http://www.khanacademy.com http://www.reddit.com/r/learnmath/ http://www.math.stackexchange.com
有本斯皮瓦克写的《微积分漫游指南》（The Hitchhiker's Guide to Calculus），读起来其实非常轻松，同时又能帮你建立极棒的微积分心智模型（mental model）。
There's "The Hitchhiker's Guide to Calculus" by Spivak, and it's actually a really easy read while giving you an excellent mental model of Calculus.
楼主数学“很差”，想从第一性原理（first principles）搞起。我觉得直接啃斯皮瓦克的教材来入坑微积分不是个好选择。如果楼主想要更温和一点的切入方式，在火力全开死磕斯皮瓦克大部头之前，他的《微积分漫游指南》（Hitchhiker's Guide to Calculus）可能是个更好的起步选择。
OP wants it from first principles as their maths is "poor" . I don't think Spivak is a good choice to jump right into calculus. If OP wanted a more softer approach, Spivak's Hitchhiker's Guide to Calculus is probably a better option first before going full Spivak.