Vector/multivariable calculus textbook

[lizzie96']

Hello,

I’m looking for a good book on multivariable and vector calculus for a first/second year undergrad course. I’ve been using Stewart’s Early Transcendentals so far, but probably because I haven’t attended any of the lectures I don’t feel like I have a very deep understanding of the ideas. I’m looking for a (slightly) more rigorous, detailed textbook (or lecture notes) with lots of challenging problems for effective revision.

Thanks for any recommendations!

 

[ELB27]

Hello,

I’m looking for a good book on multivariable and vector calculus for a first/second year undergrad course. I’ve been using Stewart’s Early Transcendentals so far, but probably because I haven’t attended any of the lectures I don’t feel like I have a very deep understanding of the ideas. I’m looking for a (slightly) more rigorous, detailed textbook (or lecture notes) with lots of challenging problems for effective revision.

Thanks for any recommendations!

I personally went through MIT OCW's multivariable course from beginning to end and found it extremely useful. It includes lecture notes, videos, recitations and full problem sets with solutions. The problems on part B of their problem sets can be quite challenging and rewarding. I'm not sure how to classify its rigour but I can vouch for its effectiveness - I went on to study electrodynamics from Griffiths' textbook immediately after finishing this course and am having no problem with its level of vector calculus.
Good luck!

 

[BA Bissell]

Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, 4th edition, MatrixEditions.com