Recommendations for a Comprehensive Problem Book(s) in Calculus $3$.

Question

I am on the lookout for a comprehensive problem book specifically tailored to Multivariable Calculus and Vector Calculus (Calculus $3$), covering topics such as multiple integrals, partial differentiation, and other advanced concepts of Calculus $3$. While I have found numerous resources for Calculus $1$ and $2$, there seems to be a scarcity when it comes to Multivariable Calculus and Vector Calculus (Calculus $3$) Calculus $3$.

Could anyone recommend a problem book that provides a wide array of problems with varying difficulty levels in Multivariable Calculus and Vector Calculus (Calculus $3$)?

For context I have read: Stewart's calculus, Thomas' calculus, Larson's Calculus, Baby Rudin and linear algebra by Hoffman and Kunze.

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EDIT:

There are some good recommendations in the comments, but I am specifically looking for problem books that come with personal endorsements from individuals who have read and worked through them.

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Thank you in advance for your suggestions!

Answer 1

I suggest Theodore Shifrin's Multivariable Mathematics, it has a chapter dedicated to the needed linear algebra for multivariable calculus + some good figures and illustrations.

Answer 2

Long time ago, when I was a student, we used “Problems in mathematical analysis” by Demidovich. I think the original book is in Russian, but English translation is available. The book contains a huge number (about four and half thousands) of problems and was so popular that there was written a book of its solutions, called Antidemidovich. The problems are of different hardness. On the one hand, I guess it was a common student problem book, so it should contain a lot of easy problems. But, on the other hand, I was one of the strongest students at our flow and I wanted to pass the exams without attending classes, so the dean of our faculty who taught us analysis, created for me lists of problems from this book to look. The book consists of two chapters, devoted to functions of one and several variables, respectively. So you may look out the second chapter for problems suitable for you.