Calculus
James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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What Hacker News says
- What you are describing seems exactly like the text for first year math in school. Check out Spivak. I remember loling that it starts out explaining what is a number and why addition works the way it does. Heh .. I still lol a bit at that but if that is your cup of tea ..
My personal philosophy is to develop my mathematical intuition. I like applied problems. I really liked my high school math text: https://www.amazon.ca/Calculus-First-Course-James-Stewart/dp...
You can get old versions of these btw ... basic math has been the same since Newton :-p I also highly recommend the MIT course of Gilbert Strang on linear algebra.
- Calculus, by James Stewart. I recommend you buy a dead tree copy of an old edition (I paid $5 for mine, shipped. I don't know how they made money off that sale.) Might not be the best book, but it covers everything you need to know, has good exercises, everyone uses it, you can find the solutions manual online, and the harder problems have an answer on stack overflow.
And some linear algebra book by Strang (as others have said.) I don't remember which one I learned from, but I do remember it was excellent.
I can't recommend a good stats/probability book. People recommend Statistical Inference by Casella and Berger, although I wasn't super impressed with it.
You'll also want a good understanding of set theory and proof writing. I don't remember what book I learned from, but try to find some introduction to math thought.
This is all assuming you have a good understanding of algebra. The above mentioned books require geometry/trig, but you don't actually need that for machine learning.
- > book publishers to milk students with single-access codes and never-ending "new" editions to their books,
The best example of this is James Stewart's Calculus textbooks. It is priced so high and made him so much money that he built a $24 million "Integral House"!
Where the money from your Stewart calculus book goes - https://www.mprnews.org/story/2011/04/18/where-the-money-fro...
The House That Calculus Built - https://www.fastcompany.com/3052267/the-house-that-calculus-...
PS: Just to be clear, the above has got nothing to do with mathematicians and their work. It just goes to show how bad the textbook publishing industry is in shafting students that you can make money off of them by selling centuries old well-known mathematics.
- Calculus by James Stewart, Daniel Clegg, and Saleem Watson
- Thank you!
We actually made the course ourselves, following James Stewart's Calculus and our own approach to teaching these topics (we're two PhD students). We wrote everything in English first, then translated it into other languages.
AI accelerated our workflow, we prompted the visuals and explanations we wanted, then polished the results ourselves. So we're confident in the teaching quality and correctness of these videos, they're not pure AI artifacts :)
- I have tutored people taking Calc 1, 2 and 3 at several universities in the US.
There's no exact standard that I'm aware of, but they tend to closely align at different universities. Dividing James Stewart's Calculus into three parts is a reasonable guide: you can see the contents on Amazon preview.
I'd expect solving first order linear differential equations would be solidly in Calc 2.
* https://www.amazon.co.uk/Calculus-Transcendentals-Internatio...
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