Book recommendation for differential and integral calculus of one and of several variables

Question

I want to re-study differential and integral calculus of one and of several variables and be able to solve all kinds of low to high level problems related to them. Iit has been 3-4 years I solved integral problems in high school and now I want to prepare for GRE math subject test whose 50% syllabus is

"Material learned in the usual sequence of elementary calculus courses — differential and integral calculus of one and of several variables — including calculus-based applications and connections with coordinate geometry, trigonometry, differential equations and other branches of mathematics."

After googling for a while, I thought about going with these two classical books

Differential Calculus-Byerly and

Integral calculus-Byerly

I could not find any reviews of this book. Is this a right choice, as I believe if I can make my concepts clear then any problem is easy. Or should I buy another modern texts, if so, please recommend.

Thanks!

Answer 1

I would recommend Theodore Shifrin's Multivariable Mathematics. It covers some important aspects of integration on Euclidean space and Linear algebra. Some basics about differential equations are also covered.

Answer 2

Your question suggests that you want to learn calculus which stresses computations and problem-solving skills. For that, in my opinion, the textbooks by James Stewart would be excellent choices. The single-variable and multi-variable texts are both available on Amazon.

Answer 3

I like Kenneth Kuttler - Calculus: Theory and Applications, since it starts from beginning and goes to advanced and cool stuff. Also there are all the proofs with much details! That is the book for serious students in mathematics and physics.

Don't waste your time with titles like "Calculus for morons".