Multivariable Calculus book with Taylor expansion for several variables

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SUMMARY

The forum discussion centers around the selection of multivariable calculus textbooks, specifically focusing on the inclusion of Taylor expansions for two variables. The preferred choice is "Multivariable Calculus" by Ron Larson, praised for its graphics and clarity, despite lacking a section on Taylor expansions. Other mentioned texts include Thomas' Calculus, which covers Taylor expansions but lacks clarity, and Adams' Calculus, which addresses the topic but is criticized for its monochrome presentation. The book "Hubbard and Hubbard - Vector Calculus, Linear Algebra, and Differential Forms" is also recommended for its comprehensive coverage of multivariable calculus.

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  • Understanding of multivariable calculus concepts
  • Familiarity with Taylor series and expansions
  • Basic knowledge of calculus textbooks and their content
  • Ability to evaluate educational resources based on reviews and ratings
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  • Research "Hubbard and Hubbard - Vector Calculus, Linear Algebra, and Differential Forms" for its multivariable calculus content
  • Explore additional resources on Taylor expansions for two variables
  • Compare reviews of "Thomas' Calculus" and "Adams' Calculus" for clarity and comprehensiveness
  • Investigate other multivariable calculus textbooks that include Taylor expansions
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Students and educators in mathematics, particularly those seeking effective multivariable calculus resources that include Taylor expansions for two variables.

Hernaner28
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Hi. I borrowed many multivariable Calculus book so that I can choose one for the next semester. The one I liked most is Multivariable Calculus by Ron Larson. It is full of graphics and colours, somthing that is essential to understand functions of two variables. The only thing is that it does not have any section for Taylor expansions for two variables...

I also have Thomas' Calculus which has something about Taylor but it's not pretty clear.. but the rest is cool.

I've also got Stewart but didn't like it.

Adams' Calculus also treats Taylor for two variables but the whole book is black and white... pretty hard to understand graphs.

All books cover almost same things...

So what do you think? Am I missing some book which may have Taylor for 2 variables? Which one of the ones I mentioned would you recommend?

Thanks!
 
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I have not read more than a few sample pages of the following book myself and do not know its entire contents, but I've seen high recommendations and reviews for it. I will be buying it for my classes over the next couple of semesters, but I thought I'd throw it out there to give you some more options:

Hubbard and Hubbard - Vector Calculus, Linear Algebra, and Differential Forms.
 
That's not adequate for my semester. Linear Algebra is a separate curse... I won't get a book with material I already have. Ron Larson Multi Calculus has 4.5/5 score with 10 costumers review and I can tell you it IS damn good, but I would choose 4/5 of what I've seen because it's only missing Taylor for 2 variables. Can't believe that many books have skipped that... it's an important topic.

Thanks!
 
Hernaner28 said:
That's not adequate for my semester. Linear Algebra is a separate curse... I won't get a book with material I already have. Ron Larson Multi Calculus has 4.5/5 score with 10 costumers review and I can tell you it IS damn good, but I would choose 4/5 of what I've seen because it's only missing Taylor for 2 variables. Can't believe that many books have skipped that... it's an important topic.

Thanks!

Hubbard does not only cover linear algebra. It also covers multivariable calculus. It's an extremely good book! Perhaps one of my favorite on multivariable calculus.
 
Hm alright I will take it into account but I don't know if I'm able to get that book. Anyway, do you have any other to recommend? And from the ones I've mentiones which one would you choose?

Thanks!
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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