I need Calculus book that suits my level. (Or at least primary book which I will follow more closely)
I don't have much formal education but have recently read Lang's Basic Mathematics (cover to cover, doing
all almost all of the exercises).
In my search for books I found:
Spivak - Calculus
Apostol - Calculus 1 and 2
Courant - Introduction to Calculus and Analysis vol 1 and 2
Lang - First Course in Calculus
I found info about the other books, and it seems that Apostol's Calculus will be best suited for self learner and covers more than Spivak (also gives some applications), while Courant covers even more than Apostol but has less and harder problems.
I have read a little bit (about derivatives, limits) of Lang's book and it's quite easy to follow.
So, where Lang's book stays? Are the other books too advanced for me?
Which book I should use as primary text if time is a concern and I want to cover more things? (Sorry if that's too many questions)
There is a thing in the college I want to go called "Mathematics and Informatics" (that's in Eastern Europe).
I'm kind of in hurry because I want to get in college and I have the chance to skip the first year if I know enough. (first year is mostly C++, Calculus and little bit of Linear Algebra and I already know enough C++)
So if I'm to skip the first year I should be ready for the Mathematical Optimization, Discrete Math, Differential Equations, Information theory (IDK if I translate correctly). All of these are intro level.
I have around 6-7 months before I try to get the exams. And little bit more before I eventually start college.
BTW, Basic Mathematics was quite challenging and there have been some exercises that got me to look at the back of the book for solutions or search on the internet. Don't wanna make it sound like I've done 100% of them (someone in my situation my get discouraged after reading this), but I tried.