Well I have not started calculus yet but I am really keen to.
I would love if you suggest some books.
Points to be noted:
- I really don’t like the way textbooks are written so please no “textbooks”
- I am COMPLETELY beginner in calculus. I know a little bit of trigonometry and what functions are but not really in depth.The book should start from the base, I mean really from the base. I may require a precalculus book too if the books don’t cover that.
- I would really love if the book shows how calculus was developed, why it was developed and things like that.
Well,thanks in advance!
If you want to learn calculus, you should ensure you have mastered material typically covered in a Precalculus course. And if you want to learn calculus, you’re going to have to have some sort of “textbook.” And some are better than others.
That said, a very nice supplement to a textbook is Michael Spivak’s
A Hitchhiker’s Guide to Calculus. It won’t replace a calculus textbook, but it really is great reading to understand calculus a bit more intuitively. And it outlines the development of Calculus, and the motivation for its development to some degree. You might enjoy this site that gives timeline of the history of calculus.
I’ll also provide a link to the Khan Academy, where you can review pre-requisite material, and supplement your journey through Calculus with video lectures, practice problems, etc.
Finally, here is a link to Paul’s Online Math Notes. The link will take you to the Calculus I notes, but there’s a menu at the top of the page where you can select notes for algebra/precalculus. Paul’s Notes are really an instructive tutorial that allows you to proceed at your own pace, provides exercises, organizes the material into “modules” so you can work through and digest sub-sections/topics progressively.