Introduction to Calculus and Analysis

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The discussion centers on the books "Introduction to Calculus and Analysis" by Richard Courant and Fritz John, with participants sharing their experiences and preferences. Many agree that Courant's original work is highly regarded for its quality and intuitive approach, while the Courant and John rewrite is seen as more rigorous but potentially less engaging. Readers note that the original book may require multiple readings for full comprehension, but the effort is deemed worthwhile. The rewrite aims to blend calculus with more modern analysis techniques, which some feel detracts from the original's charm. Overall, both versions are valuable, but they serve slightly different educational purposes.
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Has anyone used this set of books by Richard Courant and Fritz John? If so, I would like some advice about them.
 
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From what I know, Courant's book is close to the very top; in quality and rigour.
This might make it a tough going, but if you persevere, you will be amply rewarded.
 
Iuse Differential and Integral Calculus y Couranr. It' really good
 
Yes, I've noticed, I had to read a few sections 2-3 times before I understood everything. But since you say its one of the best, I am going to continue with it, thanks.
 
courant and john is a rewrite of courant, attempting to incorporate some more rigorous and precise methods of the mid 20th century. it is a wonderful book, but i prefer the original courant as more intuitive and less stuffy.

i have learned and taught from both and they are not all that different, but to me the rewrite loses the charm of the original.
 
Youre making me have second thoughts again! So, what exactly is the difference? can you be more specific, or maybe point out some examples?
 
courant and john focuses more on analysis. Like mathwonk said, it is slightly pressured by its time to combine two subjects. Whereas the original is a full exposition on the calculus.
 
Huh? I thought mathematical analysis and calculus are the same thing..
 

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