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## Main Question or Discussion Point

Hi.

I just finished the single variable part of Stewart's calculus book which helped me to master AP calculus. Now I am planning to move on to non-rigorous multivariable calculus. However, I have found reading his book a bit painful since the book mainly focuses on problem-solving techniques rather than the essence of calculus. For example, in the section on u substitution, instead of showing how it is related to the product rule of derivatives, he only teaches readers how to solve the problems so that they can pass their exams. This makes me want to switch to a new book for learning multivariable calculus.

I would like to be recommended a book written for building up intuition for multivariable calculus through a non-rigorous approach. I really like the way how

Thank you.

I just finished the single variable part of Stewart's calculus book which helped me to master AP calculus. Now I am planning to move on to non-rigorous multivariable calculus. However, I have found reading his book a bit painful since the book mainly focuses on problem-solving techniques rather than the essence of calculus. For example, in the section on u substitution, instead of showing how it is related to the product rule of derivatives, he only teaches readers how to solve the problems so that they can pass their exams. This makes me want to switch to a new book for learning multivariable calculus.

I would like to be recommended a book written for building up intuition for multivariable calculus through a non-rigorous approach. I really like the way how

*Calculus with Analytic Geometry*delivers the concepts to its readers; therefore it would be great if anyone can recommend me a book that resembles it. (You might be curious why I didn't get that book for my AP exam -- it is pricey.)Thank you.

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