Fundamentals of calculus

[Vay]

I need a book for the fundamentals of calculus that explains shapes, relativity, and movement etc (e.g. elliptic movements). I don't know where to look because I can find mostly text books that cost a lot, which I don't want to buy. I was hoping to find some old theory books that are re-translated if they existed.

[Cap'n Refsmmat]

Could you clarify? I'm not sure how shapes, relativity and movement relate to calculus; do you want a mathematics textbook, a physics textbook, or a geometry textbook?

[Vay]

Could you clarify? I'm not sure how shapes, relativity and movement relate to calculus; do you want a mathematics textbook, a physics textbook, or a geometry textbook?

 

I read that you need calculus to derive the equation for solving for the circumference of an ellipse. I am trying to use shapes as representation of force or orbital paths. I guess it would be much related to physics, but what I need most are the mathematical implications explained from a fundamental level. I don't have a lot of knowledge about categorization in mathematics, so it might not be calculus.

 

I have been just visualizing most of the time and don't have the necessary mathematics to compliment with.

Edited March 13, 2011 by Vay

[mississippichem]

Some calculus books come with emphasis on things like geometric proofs. They usually titles like "Calculus with analytic geometry".

Edited March 13, 2011 by mississippichem

[Vay]

Some calculus books come with emphasis on things like geometric proofs. They usually titles like "Calculus with analytic geometry".

 

There are tons of them on amazon and I don't know which book is best. So if someone can recommend a good one, it will be greatly appreciated.

 

I heard great things about this book: I am wondering if it has analytic geometry.

 

http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098918/ref=sr_1_1?s=books&ie=UTF8&qid=1300050221&sr=1-1

Edited March 13, 2011 by Vay