Multivariable analysis textbooks

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SUMMARY

The discussion centers on recommended textbooks for multivariable calculus, highlighting several key titles. "Vector Calculus, Linear Algebra, and Differential Forms" by Hubbard and Hubbard is suggested as a strong option, while Stewart's "Calculus" is noted as a standard applied text for multivariable courses. "The Elements of Real Analysis" by Bartle is mentioned as more challenging than Abbott's "Understanding Analysis," which is favored for its accessibility. Participants agree that Stewart's book is useful for computational exercises.

PREREQUISITES
  • Understanding of single-variable calculus concepts
  • Familiarity with mathematical analysis terminology
  • Basic knowledge of linear algebra
  • Ability to solve calculus problems
NEXT STEPS
  • Explore "Vector Calculus, Linear Algebra, and Differential Forms" by Hubbard and Hubbard
  • Study "Calculus" by Stewart for applied multivariable calculus techniques
  • Review "The Elements of Real Analysis" by Bartle for deeper analysis concepts
  • Practice problems from "Understanding Analysis" by Stephen Abbott to strengthen foundational skills
USEFUL FOR

Students preparing for multivariable calculus courses, educators seeking textbook recommendations, and anyone looking to enhance their understanding of multivariable analysis concepts.

Santiago24
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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.
 
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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.
 
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MidgetDwarf said:
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!
 

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