ahum
Posts:
15
Registered:
6/22/12
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Re: books or courses with mathematical proofs
Posted:
Jun 22, 2012 2:42 PM
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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
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