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.
I have Thomas' Calculus from the 1960s, the same book that Knuth promotes in interviews as being responsible for him choosing a math degree. Very high signal to noise ratio without being as terse as Apostol https://www.amazon.com/Calculus-Analytic-Geometry-Supplement...…
Daniel Kleppner写的《Quick Calculus》。另外，如果你能淘到老版的两卷本《Thomas Calculus》，一定要买第一卷。把所有奇数题都刷一遍，答案都在书后。我当年就是这么学会的！后来版本的Thomas合订成了一本又大又厚的泛黄大部头……
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! A later edition of Thomas was a single volume big thick yellowish book.…
……20世纪中后期的书架上（包括我自己的）。至今还在印，都快出到第100版了。另外，我大学用过的几本心头好教材也没被提到，比如Thomas的《Calculus and Analytical Geometry》。我还留着那本红布封面的Addison-Wesley第3版，虽然早就绝版了，但更晚的版本可能还在印。
…bookshelf (including mine) during the mid-to-late 20th century. Still in print, nearing the 100th edition. Also, some of my old favorite textbooks that I used at University were not mentioned, including Thomas' _Calculus and Analytical Geometry_. I still have my red cloth covered Addison-Wesley 3rd edition, no longer in print, but a much later edition might still be in print.
……依然是很棒的微积分预备（precalculus）入门书（凭记忆记得三角函数那部分讲得尤其好），Simmons的《Precalculus in a Nutshell》对这块的介绍就很棒。然后你可以去读像《Thomas Calculus》这样的书，它在第一章复习里对三角函数做了很好的讲解。我甚至觉得，把上面这些书啃下来，比你在高中上相关课程还要强；这……
…still great introduction to precalculus (with a great section on trigonometry in particular from memory), Simmons' Precalculus in a Nutshell has a great introduction to this. Then you can read a book like Thomas Calculus, which has a great introduction to trigonometry in the first review chapter. I would even say that you would be better off working through the books above than if you had the high school classes; the…
…the off-chance that trigonometry is not taught in high school (which I predict is rare), a first-year student taking calculus in university must learn it on their own time. Good calculus textbooks (e.g. Thomas Calculus) even account for this, having fairly comprehensive textbook sections on what you need to know about trigonometry to succeed in the calculus course. Most students who therefore took math to pre-calculus…
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.
我手头有一本1960年代的《Thomas' Calculus》，就是Knuth在访谈里经常安利、说是促使他决定读数学学位的那本。信噪比极高，又不像Apostol写得那么晦涩简练 https://www.amazon.com/Calculus-Analytic-Geometry-Supplement...…
I have Thomas' Calculus from the 1960s, the same book that Knuth promotes in interviews as being responsible for him choosing a math degree. Very high signal to noise ratio without being as terse as Apostol https://www.amazon.com/Calculus-Analytic-Geometry-Supplement...…
Daniel Kleppner写的《Quick Calculus》。另外，如果你能淘到老版的两卷本《Thomas Calculus》，一定要买第一卷。把所有奇数题都刷一遍，答案都在书后。我当年就是这么学会的！后来版本的Thomas合订成了一本又大又厚的泛黄大部头……
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! A later edition of Thomas was a single volume big thick yellowish book.…
……20世纪中后期的书架上（包括我自己的）。至今还在印，都快出到第100版了。另外，我大学用过的几本心头好教材也没被提到，比如Thomas的《Calculus and Analytical Geometry》。我还留着那本红布封面的Addison-Wesley第3版，虽然早就绝版了，但更晚的版本可能还在印。
…bookshelf (including mine) during the mid-to-late 20th century. Still in print, nearing the 100th edition. Also, some of my old favorite textbooks that I used at University were not mentioned, including Thomas' _Calculus and Analytical Geometry_. I still have my red cloth covered Addison-Wesley 3rd edition, no longer in print, but a much later edition might still be in print.
……依然是很棒的微积分预备（precalculus）入门书（凭记忆记得三角函数那部分讲得尤其好），Simmons的《Precalculus in a Nutshell》对这块的介绍就很棒。然后你可以去读像《Thomas Calculus》这样的书，它在第一章复习里对三角函数做了很好的讲解。我甚至觉得，把上面这些书啃下来，比你在高中上相关课程还要强；这……
…still great introduction to precalculus (with a great section on trigonometry in particular from memory), Simmons' Precalculus in a Nutshell has a great introduction to this. Then you can read a book like Thomas Calculus, which has a great introduction to trigonometry in the first review chapter. I would even say that you would be better off working through the books above than if you had the high school classes; the…
……万一高中没教三角函数（我猜这种情况很少见），大学第一年学微积分的学生就必须自己抽时间自学。好的微积分教材（比如《Thomas Calculus》）甚至把这层也考虑进去了，会用相当全面的章节来讲解搞定微积分课程所需的三角函数知识。所以大多数数学学到微积分预备（pre-calculus）的学生……
…the off-chance that trigonometry is not taught in high school (which I predict is rare), a first-year student taking calculus in university must learn it on their own time. Good calculus textbooks (e.g. Thomas Calculus) even account for this, having fairly comprehensive textbook sections on what you need to know about trigonometry to succeed in the calculus course. Most students who therefore took math to pre-calculus…