Multivariable Calculus Texts - Spivak Reviewed

In summary, "Multivariable Calculus Texts - Spivak Reviewed" is a review of the textbook "Calculus on Manifolds" by Michael Spivak, written by a scientist with expertise in mathematics. The review highlights the textbook's rigorous and clear approach to teaching multivariable calculus, its comprehensive coverage of topics, and its organized presentation. However, some may find the level of difficulty too high and the textbook may not be as suitable for self-study. Overall, the review recommends "Calculus on Manifolds" as a valuable resource for learning multivariable calculus, but suggests considering one's own learning style and level of understanding before choosing this textbook.
  • #1
Spearmintz
7
0
what is a good multi variable calculus text
i have just finished reading spivak's calculus
thanks
 
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  • #2
I like Wilfred Kaplan Advanced Calculus to start, also Piskunov Volume 2 is pretty decent. For more advanced, you can see Volume 2 Part 1 and Part 2 of Richard Courant and John Fritz.
 
  • #3
You could move on to calculus on manifolds by spivak, but you would need some linear algebra first (which you should probably learn before multivariable calculus anyways) . Specifically linear combinations, matrix operations and inverse matrices, linear dependence/independence, determinants, linear transformations, spaces and basis for spaces would all be helpful to know.
 

FAQ: Multivariable Calculus Texts - Spivak Reviewed

What is "Multivariable Calculus Texts - Spivak Reviewed"?

"Multivariable Calculus Texts - Spivak Reviewed" is a review of the textbook "Calculus on Manifolds" by Michael Spivak. This review focuses on the content, style, and overall effectiveness of the textbook for learning multivariable calculus.

Who is the author of "Multivariable Calculus Texts - Spivak Reviewed"?

The author of "Multivariable Calculus Texts - Spivak Reviewed" is a scientist who has expertise in the field of mathematics and has used the textbook "Calculus on Manifolds" by Michael Spivak in their studies.

What makes "Calculus on Manifolds" by Michael Spivak a good textbook for learning multivariable calculus?

"Calculus on Manifolds" by Michael Spivak is highly regarded for its rigorous and clear approach to teaching multivariable calculus. It covers a wide range of topics, provides challenging exercises, and presents the material in a logical and organized manner.

Are there any downsides to using "Calculus on Manifolds" by Michael Spivak for learning multivariable calculus?

Some readers may find the level of difficulty in "Calculus on Manifolds" to be too high for their current level of understanding. Additionally, the textbook may not be as accessible for self-study as it is designed for use in a classroom setting.

Would "Multivariable Calculus Texts - Spivak Reviewed" recommend "Calculus on Manifolds" by Michael Spivak for learning multivariable calculus?

Overall, "Multivariable Calculus Texts - Spivak Reviewed" gives a favorable review of "Calculus on Manifolds" by Michael Spivak and recommends it as a valuable resource for learning multivariable calculus. However, it is important for readers to consider their own learning style and level of understanding before choosing this textbook.

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