This is my compilation so far. Is there to much redundancy or better options?
I want to be good at the “doing” but I want a solid foundation in the “why” and theory of calculus too.
I will also use the online MIT videos, Khan Academy, and Paul’s Notes as supplemental resources.
The Project Gutenberg EBook of Calculus Made Easy, by Silvanus Thompson
Calculus by Gilbert Strang 1e - ISBN-10: 0961408820
Elementary Calculus: An Infinitesimal Approach (Dover Books on Mathematics) by H. Jerome Keisler - ISBN-10: 0486484521
Calculus by Ron Larson 8e - ISBN-10: 061850298X
Calculus by Michael Spivak 4e - ISBN-10: 0914098918
Calculus by James Stewart 7e - ISBN-10: 0538497815
Multivariable Calculus by James Stewart 7e - ISBN-10: 0538497874
What is usually referred to as “multivariable calc” is often taught in Calc 3. Are you asking only about the first calculus course in the sequence?
I am new to calculus. I would wait to start multivariable calculus until I have experience.
https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/ is a free online edition of Strang’s single variable and multivariable calculus book.
For a more theoretical version, there is also the book by Apostol or the lecture notes for Caltech Ma 1a at http://www.math.caltech.edu/~nets/cranks.pdf .
I’ve actually been self-studying for Calculus 1 (What you should start on) for about 8 months. I will be taking the AP Calc AB test in a couple months as they do allow non-high school students to take AP tests.
I can give you a good idea of how I’ve been studying if you would like, it might be helpful
Also, what’s your situation for studying calc? Are you homeschooled, is this on the side besides high school classes, etc?
For Ron Larson book, calcchat.com has helpful tutoring options.