quasi
Posts:
12,052
Registered:
7/15/05


Re: books or courses with mathematical proofs
Posted:
Jun 22, 2012 2:18 PM


On Fri, 22 Jun 2012 05:21:37 0700 (PDT), ahum <pierre.franckx@gmail.com> wrote:
>On Friday, June 22, 2012 12:24:54 PM UTC+2, quasi wrote: >> ahum wrote: >> >> >At this moment I'm studying IT(programming)in eveningschool. >> >I will obtain a limited degree (one could compare it to a >> >bachelor, but it isn't). This could lead to a full bachelor >> >degree at a university. >> > >> >I would like to refresh my mathematical skills trough >> >selfstudy, I would like to study my highschool maths but have >> >trouble finding books or courses which contain the full proofs >> >of the subjects. I have found many excellent books on algebra, >> >calculus, geometry and others, but it is al applied, and no >> >mathematical proofs whatsoever. And I really want these proofs, >> >because I want to fully grasp and understand what I'm doing >> >(which sounds obvious). >> > >> >Can you help me find the courses or books I need? I'm of >> >course prepared to pay the price for books needed to increase >> >my knowledge and skills. >> >> I think some of the books published by >> >> "Art of Problem Solving" (AoPS) >> >> would match your objectives. >> >> I especially recommend these: >> >> Precalculus >> by Richard Rusczyk >> >> Intermediate Counting and Probability >> by David Patrick >> >> Here's a link to their online bookstore: >> >> <http://www.artofproblemsolving.com/Store/alltitles.php?#AoPStexts> >> > >These books look indeed very interesting. And they include all >necessary proofs  I'm sorry for asking, but the excerpts show >only exercises. Thanks for answering anyway. Best regards.
I don't have the books at hand, but my memory is that they are more rigorous than is typical at that level.
For both of the books I recommended, while the styles are informal (not definition, theorem style), results are proved, not just stated.
The exercises are very well chosen and span a wide range, from routine to very challenging.
quasi

