I want to learn multivariable calculus and I need a book suitable for self-study.
I looked around on Amazon and found two books that seem to contain the right material:
Unfortunately, the first book is described as targeted at engineering majors (by the author himself on his website). And the second book seems to be too colorful and fancy so that I suspect it's also for engineering majors.
I major in pure maths.
Can I (a maths major) use either of these books (for engineering) to learn multivariable calculus?
And if not, which multivariable calculus book is suitable for a maths major?
I am looking for an undergraduate low-level text with lots of exercises and solutions. I want to practice the material as well as study proofs.
Why I am worried that these books might be no good to me:
One thing is that since they seem to be written for engineers I am worried that there are no or only few proofs. The other thing that I'm worried about is that they don't cover the same scope of material like a book targeted at maths majors.
After some more searching I found
It looks good topic-wise but its title suggests that it's advanced and I only know first year real analysis in one variable. This book contains a chapter about differential forms (isn't that rather advanced?) Also, it does have exercises but no solutions.
I am worried that this book is too advanced for me.
Does anyone have any experience with this book?