Penney: MV Calculus w/matrices VS MV Calculus

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In summary, the conversation discusses the recommended book for the online MIT course on multivariable calculus and the differences between two versions of the 6th edition of the book on Amazon. The cheaper version includes a chapter on matrices, while the more expensive version is recommended by MIT. The conversation also mentions the possibility of differences in problem numbers and content between different editions of the book.
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calculusnerd
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Hello, I just started watching the online MIT videos on multivariable calculus: http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/ The recommended book is Edwards and Penney's multivarialbe calculus (6th edition). While browsing for this book on amazon I noticed there are two "6th edition" editions of the book:
1. https://www.amazon.com/gp/product/0130648183/?tag=pfamazon01-20
2. https://www.amazon.com/gp/product/0130339679/?tag=pfamazon01-20

Are these the same or is there a significant difference? It seems that the one "with matrices" has more pages, so I'm assuming it's identical to the other one except that it has some extra chapter on matrices or something like that. But again, the prices are very different (the one "with matrices" is much cheaper) so I assume there is some bigger difference between them. (Note: The one recommended by MIT is the more expensive version of the 6th edition, but I'm hoping they don't only recommend it over the matrices one simply because it is more expensive!)

Thanks
 
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  • #2
The price differences are likely due to supply and demand. There is less demand for the cheaper one. Be prepared to do work figuring out which page and problem numbers are intended if you do not get the exact book that is recommended.
 
  • #3
https://www.amazon.com/dp/0130084069/?tag=pfamazon01-20heres one with both parts, single and multivariable, for $6. there is essentially no huge diffrence in any of their books, except the problems got easier as the edition num,bers got higher and they took out more and more deep content such as Keplers laws and proofs of theorems.
 

1. What is the difference between MV Calculus with matrices and MV Calculus without matrices?

The main difference between MV Calculus with matrices and MV Calculus without matrices is the inclusion of matrices in the former. MV Calculus with matrices involves using matrix operations and concepts to solve problems and understand multivariable calculus, while MV Calculus without matrices focuses solely on the mathematical concepts and techniques of multivariable calculus without the use of matrices.

2. How are matrices used in MV Calculus?

Matrices are used in MV Calculus to represent and manipulate data in multivariable calculus problems. They can be used to represent vectors, transformations, and systems of equations, making it easier to solve problems and visualize concepts in multivariable calculus.

3. Is knowledge of matrices necessary for understanding MV Calculus?

While knowledge of matrices is not necessary for understanding the fundamental concepts of MV Calculus, it can greatly enhance one's understanding and problem-solving abilities. Some problems in multivariable calculus are more easily solved using matrices, so having a solid understanding of them can be beneficial.

4. Can MV Calculus with matrices be applied in real-world situations?

Yes, MV Calculus with matrices can be applied in real-world situations, particularly in fields such as engineering, physics, and economics. Many real-world problems involve multiple variables and can be solved using MV Calculus with matrices.

5. Are there any drawbacks to using matrices in MV Calculus?

One potential drawback to using matrices in MV Calculus is that it may add an extra layer of complexity to some problems. It is important to have a solid understanding of both matrices and multivariable calculus concepts in order to effectively use MV Calculus with matrices. Additionally, not all problems in multivariable calculus can be solved using matrices, so it is important to also understand other techniques and methods.

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