Multivariable analysis textbooks

[Santiago24]

Hi! the next semester i'll take a course on multivariable calculus but i'd like to study it now. I've "Principles of mathematical analysis" by W.Rudin but i heard that the sections about this are hard to read. If there is a textbook like "Understading analysis" by Stephen Abbott but in multivariable version i really i'd like to read it.

 

[MidgetDwarf]

Are you able to do problems from Abbot?

There is a nice book by Hubbard and Hubbard called Vector Calculus, Linear Algebra, and Differential Forms.

My class on Multivariable Calculus was based on Stewart Calculus. It is an applied book, but served its purpose. That is usually the standard for a multivariable calculus course in the calculus sequence.

there's also The Elements of Real Analysis by Bartle. I read it due to not really understanding anything past a certain point in Spivak: Calculus on Manifolds.

Bartle is more of an Analysis book. It is bit more harder to read then Abbot. Ie., it has examples you actually have to read /re-reread / and work out. I am hesitant to recommend this for a calculus course.

I think Hubbard Hubbard would be the better option... Maybe look at Stewart for more computational exercises or the book assigned by your University.

 

[Santiago24]

Are you able to do problems from Abbot?

There is a nice book by Hubbard and Hubbard called Vector Calculus, Linear Algebra, and Differential Forms.

My class on Multivariable Calculus was based on Stewart Calculus. It is an applied book, but served its purpose. That is usually the standard for a multivariable calculus course in the calculus sequence.

there's also The Elements of Real Analysis by Bartle. I read it due to not really understanding anything past a certain point in Spivak: Calculus on Manifolds.

Bartle is more of an Analysis book. It is bit more harder to read then Abbot. Ie., it has examples you actually have to read /re-reread / and work out. I am hesitant to recommend this for a calculus course.

I think Hubbard Hubbard would be the better option... Maybe look at Stewart for more computational exercises or the book assigned by your University.

Yes i can do the problems from Abbot book. I'll check this books, thanks!