Multivariable Functions & their Integrals

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Discussion Overview

The discussion centers around resources for learning about multivariable functions, their geometric visualization, and related topics such as derivatives and integrals in two and three dimensions. Participants share recommendations for books and online materials that could aid in understanding these concepts.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant seeks recommendations for online resources and books to learn about multivariable functions and their applications.
  • Another participant suggests exploring "Vector Calculus" and mentions a specific book by Marsden & Tromba as a helpful resource.
  • A different participant recommends the Edwards/Penney book, highlighting its visual aids and interactive online resources that allow for manipulation of surfaces.
  • The original poster expresses enthusiasm for their Calculus III course and reflects on the transition to multi-dimensional calculus, describing it as a deeper exploration of mathematical concepts.

Areas of Agreement / Disagreement

Participants generally agree on the value of specific resources for learning multivariable functions, but there is no consensus on a single best resource or approach, as different participants recommend different books and materials.

Contextual Notes

Some recommendations depend on the availability of online resources and plugins, which may not be universally accessible. The discussion does not resolve which resource is superior or most effective for all learners.

Who May Find This Useful

Students studying multivariable calculus or those interested in enhancing their understanding of geometric visualization in mathematics.

iSamer
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Hi to all,
Anyone knows sites or got online books that would help a student like me learn all about multivariable functions & their geometric visualization, 2 and 3 diminsional graphs, derivatives, integrals, and more explanation?
 
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Check up on the topic of "Vector Calculus".
There are tons of books on these issues, Marsden&Tromba's "Vector Calculus" is the one I used first; I liked that one.
 
i had the edwards/penney book, which has lots of pictures & computer graphics, etc in it. they've got a website here:
http://cwx.prenhall.com/bookbind/pubbooks/esm_edwards_calc-cd-iv_6/

the site has a bunch of interactive stuff on it with graphics & whatnot where you can move surfaces around, etc. you've got to download a plugin for that stuff, i don't know if that would be a problem or what
 
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Oh well, thanks for your help. I'll be checking the resourses...
I hope I'll get along with my Math course... it's Calculus III, but I enjoy this course.
It's nice and weird how you go into multi-dimensional calculus, applied all your simple one diminsion calculation... it's feels your going deeper...
Personally I think Mathematics is the mother of all languages... :wink:
 

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