Calculus book between Stewart & Spivak levels

[AfterSunShine]

Hi,
Are there calculus books that lie between Stewart (or Thomas) level and Spivak (Courant/Apostol) level?
Thanks.

 

[jedishrfu]

Not sure if it lies between them, but there's Keisler's book which uses hyperreal numbers to simplify/minimize the use of limits in explaining things:

https://people.math.wisc.edu/~hkeisler/calc.html

and the Math Sorcerer on Youtube mentions Buck's book:



https://www.amazon.com/dp/1577663020/?tag=pfamazon01-20

which is more on the Advanced Calculus side.

 

[mathwonk]

One has to guess at your definition of "between", but some candidates I would mention include Edwards and Penney 1st edition (1982), Lipman Bers Calculus, and in fact Courant, and maybe Lang, also Cruse and Granberg. early editions in all cases. (when you say "Thomas" or "Stewart", you know you are including many very different editions, hence very different books). Basic advice: go to a university library, sit in stacks and browse calculus books.

https://www.abebooks.com/servlet/SearchResults?an=edwards and penney&bi=0&bx=off&cm_sp=SearchF-_-Advs-_-Result&ds=30&recentlyadded=all&rollup=on&sortby=17&sts=t&tn=calculus&xdesc=off&xpod=off

https://www.abebooks.com/servlet/SearchResults?sts=t&cm_sp=SearchF-_-home-_-Results&an=cruse, granberg

https://www.abebooks.com/servlet/SearchResults?kn=lipman bers calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results

https://www.abebooks.com/servlet/SearchResults?kn=serge lang calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results

https://www.abebooks.com/servlet/SearchResults?kn=richard courant calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results

 

[Muu9]

While rigorous, Apostol can actually be used to learn calculus by itself, unlike Spivak, which makes it much more approachable.

 

[MidgetDwarf]

Hi,
Are there calculus books that lie between Stewart (or Thomas) level and Spivak (Courant/Apostol) level?
Thanks.

Edwin E. Moise: Calculus. It is closer to Courant imo.