Multivariable Calculus Text: Adams vs Stewart?

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SUMMARY

The discussion centers on the comparison between "Calculus: Several Variables" by Robert A. Adams and "Multivariable Calculus" by James Stewart. Users express a preference for Adams' text, citing its clarity in explaining vector fields and recommending it over Stewart's for certain topics. Stewart's book is acknowledged for its effective treatment of double and triple integrals but criticized for its handling of vector calculus concepts such as Green's theorem. Additionally, the conversation touches on the potential redundancy in Stewart's textbook titles.

PREREQUISITES
  • Understanding of multivariable calculus concepts
  • Familiarity with vector calculus terminology
  • Knowledge of double and triple integrals
  • Basic principles of electrostatics (for Schey's book recommendation)
NEXT STEPS
  • Research "Div, Grad, Curl and all That" by H. Schey for vector calculus insights
  • Explore Howard Anton's "Multivariable Calculus" for alternative explanations
  • Investigate the structure and content of Stewart's calculus books for potential overlaps
  • Review additional resources on vector fields and their applications in calculus
USEFUL FOR

Students and educators in calculus, particularly those seeking clarity in multivariable calculus and vector calculus concepts. This discussion is beneficial for anyone evaluating textbook options for advanced calculus courses.

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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