Which one is the real deal for multivariable calculus?

In summary, the conversation is about recommendations for books on multivariable calculus. The three books discussed are Advanced Calculus: A Differential Forms Approach by Harold Edwards, Advanced Calculus of Several Variables by C. H. Edwards Jr., and Functions of Several Variables by Fleming. The person is looking for a book with a geometric flavor, rigor, and depth. They are also concerned about the age and relevance of the books. One person has read Advanced Calculus: A Differential Forms Approach and found it to be tedious, and is asking for other recommendations.
  • #1
theoristo
153
3
I'm trying to learn multivariable calculus,and I've heard that one of these is fabulous(the authors have the same name):Advanced Calculus: A Differential Forms Approach by Harold Edwards https://www.amazon.com/dp/0817637079/?tag=pfamazon01-20 or Advanced Calculus of Several Variables by C. H. Edwards Jr.?There 's also Functions of Several Variables By Fleming https://www.amazon.com/dp/0387902066/?tag=pfamazon01-20, is it any better?I like books with a geometric flavor but still rigourous and with a lot of depth,any suggestion would be helpful,thanks.
P.S are any of these book too old,or have bad or outdated notion?
 
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  • #2
I've read a bit of Advanced Calculus: A Differential Forms Approach ,it seems to introduce linear algebra with some tedious stuff especially the notation,does that make Fleming's book better?please,is there someone who used these books ,or knows something better(intuitive,rigourous and with ''geometric intuition'')?
 
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Related to Which one is the real deal for multivariable calculus?

1. What is the difference between single variable and multivariable calculus?

Single variable calculus deals with functions of a single independent variable, while multivariable calculus deals with functions of multiple independent variables. In multivariable calculus, the concepts of partial derivatives, gradients, and multiple integrals are introduced to handle functions with more than one independent variable.

2. How is multivariable calculus used in real life?

Multivariable calculus has many applications in real life, including in engineering, physics, economics, and computer graphics. It is used to model and analyze complex systems with multiple interacting variables, such as fluid flow, electrical circuits, and economic markets.

3. What are some common topics covered in a multivariable calculus course?

Some common topics covered in a multivariable calculus course include partial derivatives, multiple integrals, vector calculus, optimization, and applications of multivariable calculus in physics, engineering, and economics.

4. What are some common challenges students face when learning multivariable calculus?

Some common challenges students face when learning multivariable calculus include visualizing and understanding functions with multiple variables, grasping the concept of partial derivatives, and learning to work with vector calculus and multiple integrals.

5. How can I prepare for a multivariable calculus course?

To prepare for a multivariable calculus course, it is important to have a strong foundation in single variable calculus, including derivatives, integrals, and basic functions. It may also be helpful to review linear algebra, as concepts such as vectors and matrices are used extensively in multivariable calculus.

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