Introduction to Calculus and Analysis

[WORLD-HEN]

Has anyone used this set of books by Richard Courant and Fritz John? If so, I would like some advice about them.

 

[arildno]

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.

 

[courtrigrad]

Iuse Differential and Integral Calculus y Couranr. It' really good

 

[WORLD-HEN]

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.

 

[mathwonk]

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.

 

[WORLD-HEN]

Youre making me have second thoughts again! So, what exactly is the difference? can you be more specific, or maybe point out some examples?

 

[courtrigrad]

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.

 

[WORLD-HEN]

Huh? I thought mathematical analysis and calculus are the same thing..