Multivariable Calculus Text: Adams vs Stewart?

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The discussion revolves around the comparison between two calculus textbooks: "Calculus: Several Variables" by Robert A. Adams and "Multivariable Calculus" by James Stewart. The original poster has experience with Stewart's book, noting that while it handles double and triple integrals well, it falls short in areas like vector calculus and Green's theorem. They suggest using Stewart for introductory multivariable calculus but recommend supplementing it with Schey's book for better treatment of vector calculus topics. There is also a query about Stewart's tendency to release similar books under different titles, with observations about the overlap in content between his various calculus texts. Additionally, some participants express a preference for Howard Anton's "Multivariable Calculus" and share their experiences with Adams' work, indicating that it is well-regarded for its explanations of vector fields. Overall, the conversation highlights the strengths and weaknesses of each textbook and suggests alternative resources for better understanding specific calculus concepts.
mattbonner
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hi, my calc class' designated textbook is calculus:several variables by robert a. adams.
however, stewarts' multivariable calculus is also recommended.

which one would you recommend out of the two?
 
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I have only read Stewart. As I recall, double and triple integrals are done quite well, but I think the rest is poorly written. Partial derivatives is ok, but he treat vector calculus, Green's theorem, div, grad etc. very poorly in my opinion. But then I have yet to come across a calculus book that does treat it well. I would suggest reading Stewart only as far as double and triple integrals, and then reading Schey's book "Div, Grad, Curl and all That", if you know some basic electrostatics.
 
Stewart is not bad for an intro to multivariable calculus. My next question is off-topic. Does Stewart produce identical books with different titles? Specfically, his concepts and context single var book is basically his book titled Calculus. Also, his early transcendentals book appears to be his plain Calculus book and his Multivariable Calculus book put into one volume.
 
I prefer Howard Anton's Multivariable Calclus. I'd recommend that if it is allowed.

I DO own Stewart's book. It is not very clear on some subjects. I use it for its problem sets.

I own one of Adam's calculus books, Calculus a Complete Course. The book is fine and I like its explanation of Vector Fields.

If his Several Variables book is like his Calclus, a Complete Course, than I think it is good to stay with him.
 
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