Is Calculus a Mysterious Art or Just Advanced Mathematics?

[neutrino]

Spivak? Don't think so (I could be wrong).You can find the two-volume calc books by Apostol from Wiley, though. (~ Rs. 650) I assume that you're from Calcutta. There must be a British Library (Dep. High. Comm.) there. Check it out.

 

[loom91]

You mean Spivak's book is not distributed in India? Is Apostol good?

 

[neutrino]

You mean Spivak's book is not distributed in India? Is Apostol good?

I'm not sure, at least I couldn't find anything on the 'net. You can contact these guys http://www.mathpop.com/ for further info. https://www.amazon.com/dp/0471000051/?tag=pfamazon01-20's supposed to be one of the good 'pure-maths-type' intro. I have borrowed the book once from a library, but being 'infintely impaired' , I couldn't get beyond a few pages.

 

[mathwonk]

any book you can read is a goodbook for you. then afterwards progress to another book.

 

[z-component]

What makes James Stewart rubbish? I think the fifth edition is very robust.

 

[mathwonk]

one mans rubbish is another mans croissant filling. i like henry helson's book.

 

[matt grime]

I think it was me that described them as rubbish, so I shall defend that statement. They are rubbish because they have no content, or rather, what mathematical content there is is so diluted as to lose any interest. They do not prove anything, and the statements that they make are trivial in the extreme and not at all worth reading. Anyone with one scintilla of one iota of one brain cell can immediately see that they are dross and contain practically no mathematical knowledge worth writing down. Engineers may disagree at will. Actually what irks me is that they charge a ridiculous amount of money to students to temporarily own a book that could be written by the tutor in one 100th of the amount of space at fractional cost of energy to the tutor. Canonical example is the fact that one of them (FInney I tihnk), proves three different chain rules for them. Hello! There's only one chain rule, don't dress it up and make them think it is harder than it is. Once they're doing multivarible calc there is no difference in difficulty between the chain rule for functions from R^m to R^n for any m and n so don't make them learn special cases...

So, to clarify, they are rubbish because they are exteremely bad value, and cannot be condoned as purchases to anyone at all, excepting that many universities require their students to buy them *for no good reason in my opinion*.

 

[marcmtlca]

Teaching students about 1-forms is ridiculous. They should just learn to "do" calculus. When they have gained some mathematical maturity then they can be treated as adults. I remember that I had a rough time in my differential geometry class despite having been a math student for 3 years

 

[charris]

You can get a free book on forms here:

http://pzacad.pitzer.edu/~dbachman/

The author is a forum member.

thanks for the site, i was looking for it.

 

[mathwonk]

well, you asked.

 

[mathwonk]

marcmtlca you are using the oft debated argument: " i had trouble with something, hence no one should ever be taught it before i was", no matter how competent is his teacher.

this is rubbish. with all due respect.