I have got confused now. Math history seems to allow knowing all the data on how math formed, for any of a particular utility (?), and seems to allow having experiences as they were had in the history. This seems to allow having experiences on the principles of the creation of math too. And it seems to allow knowing the subject, as it really is.

And textbooks seem to give no historical data, often. They seem to give experiences in a particular order, as needed, and might eliminate problems which may have been faced before, in the history, from not having them, in the needed time. I am now knowing calculus, for knowing particle physics, quantum mechanics, etc. properly; so I seem to know the utility of math I am studying.

Reading history, seems to confirm knowing the subject and even allow knowing the recurring conformations or principles, which allow creation of math, but seems to take time.

I don't have time now; in college, they are running. I am far behind. I have stopped, since knowing zero dimensional points, irrational numbers location on the number line, zeno's paradoxes, and non-clarity in me on knowing integration/differentiation process.

I don't know the consequences of leaving historical development; if they are any, we may be able to know conformations for eliminating any of them, which would not allow attaining any of the particular intended utilities.

And I searched text books which would be self contained in all the data, and which would give all the experiences, to solve any of the problems as zeno, irrationality, etc. I have till now seen:

Courant, Richard, Differential and integral calculus.

Apostol, Tom M., Calculus. Vol. I: One variable calculus, with an introduction to linear algebra.

Spivak, Calculus.

Lang, Serge, A first course in calculus.

being mentioned often. Which textbook would you recommend for me? Or would you recommend reading any other set of books in a particular order?


closed as unclear what you're asking by Andrés E. Caicedo, user99914, Claude Leibovici, Taroccoesbrocco, M. Winter Jul 9 '18 at 12:28

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • 1
    $\begingroup$ I'm still looking for a book that gives all details about every computer language, and all known coding techniques for these languages, from the past 50 years, and that also tells exactly which devices (both historical and presently available) each of these languages can be used on. $\endgroup$ – Dave L. Renfro Jul 8 '18 at 10:07
  • $\begingroup$ @DaveL.Renfro: Sorry, I didn't understand you. It seems that you wanted to post your comment in any of the other post? $\endgroup$ – Immortal Player Jul 8 '18 at 10:53
  • $\begingroup$ I was giving an example of what "text books which would be self contained in all the data, and which would give all the experiences, to solve any of the problems as zeno, irrationality, etc." sounds like to me. You probably do not what this, but instead you want something more limited in scope. It would help to be a little more specific with what you want, because it would take hundreds of thousands of pages to contain what you appear to be asking for. $\endgroup$ – Dave L. Renfro Jul 8 '18 at 11:00
  • $\begingroup$ Thank you for the reply. Are you saying that text books now (not history books), as to be not containing experiences/data, which would be able to solve zeno (specifically, how would Achilles overtake tortoise, in Achilles and Tortoise paradox), irrationality (locating the wrong thing, if there are any, in the proposition that the irrationals as to be not having a fixed value, from they having non terminating value and they as to be not non locatable for this reason; proofs of pythogoras seem to be isolated, as the said proposition is; neither of them are touching.... $\endgroup$ – Immortal Player Jul 8 '18 at 11:34
  • $\begingroup$ ...either of them; both are saying something as true) problems in few pages? (@DaveL.Renfro) $\endgroup$ – Immortal Player Jul 8 '18 at 11:34

Maybe have a look at Priestly's book, Calculus: A Historical Approach.


Not the answer you're looking for? Browse other questions tagged or ask your own question.