ahum
Posts:
15
Registered:
6/22/12


Re: books or courses with mathematical proofs
Posted:
Jun 22, 2012 2:42 PM


On Friday, June 22, 2012 9:18:16 PM UTC+2, quasi wrote: > On Fri, 22 Jun 2012 05:21:37 0700 (PDT), ahum > > 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 Ok,this looks very good! Thank you very much! Pierre

