Re: are you interested in number theory AND programming

From	David Brown <david.brown@hesbynett.no>
Newsgroups	comp.programming
Subject	Re: are you interested in number theory AND programming
Date	2020-06-24 16:00 +0200
Organization	A noiseless patient Spider
Message-ID	<rcvmap$q8n$1@dont-email.me> (permalink)
References	(13 earlier) <599aa968-958c-4f03-868a-9ffd066aba4co@googlegroups.com> <rcqdri$m2u$1@dont-email.me> <5480a2e3-4494-402c-95ff-38ae6239cadfo@googlegroups.com> <rct1bc$599$1@dont-email.me> <877dvwy6ak.fsf@bsb.me.uk>

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On 24/06/2020 14:52, Ben Bacarisse wrote:
> David Brown <david.brown@hesbynett.no> writes:
> 
>> On 23/06/2020 13:50, syed owais wrote:
>>> well, I am learning fortran,which I believe is suitable for engineers
>>> and scientists.
>>
>> Fortran would be a good choice here - if it were still 1970.
> 
> Fortran was a good choice when you wanted to leverage the vast (and
> expensive) libraries that were once Fortran-only.  It's still a
> reasonable choice is you want to do fancy things with arrays because it
> fairly sophisticated array handling, but I would not choose it for
> number theory work then or now.

Python with numpy will do array work at close to the speed of Fortran -
in fact, probably faster than most people's Fortran since the folks
behind it have made use of SIMD, vector extensions, compiler extensions,
and anything else available to get the fastest code.  Of course getting
top speed from any array processing takes time and effort to learn,
regardless of the language.

> 
>>> I will work in mathematica software once I develop some proficiency
>>> with fortran.  This is how I have planned it.
> 
> I would want to avoid an expensive, proprietary language but you (the
> OP) may have reasons not to worry about that, or maybe the symbolic
> processing it offers make it a big win for you in other ways.
> 
>> There is lots of mathematical software available.  Some make it easy to
>> write code, others do not.  Some is geared towards numerical
>> calculations (handling big matrices, efficient floating point
>> calculations, etc.), some for symbolic work, some for number theory, and
>> so on.  Some is expensive, some is open source.
>>
>> <https://en.wikipedia.org/wiki/Mathematical_software>
>>
>> There are only two languages I would recommend for starting programming
>> with a view to doing mathematics (other than those built into
>> specialised mathematical software).  One is Haskell, the language Ben
>> used.  It is a functional programming language - a kind of programming
>> that has a very mathematical style to it.  The other is Python, which is
>> a high-level general purpose programming language.  That's the language
>> I used in an early response to your post.  That is the language that
>> will get you results fastest.
> 
> Both have built-in "big num" support, and both have built-in rationals
> (well, I know Haskell does and I think Python does too) which are things
> I'd want to have for number theory.
> 
> Prolog comes with big numbers and some sophisticated mechanisms for
> satisfying constraints, but it seems to be odd enough that many people
> find it hard to learn.
> 

Any ideas how popular Prolog is today?  I only tried it briefly some 30
years ago - and I found it too odd to bother learning.  (I could say
much the same about APL.)

Thread

are you interested in number theory AND programming syedanwarowais5@gmail.com - 2020-06-12 02:25 -0700
  Re: are you interested in number theory AND programming root <NoEMail@home.org> - 2020-06-12 14:26 +0000
    Re: are you interested in number theory AND programming syedanwarowais5@gmail.com - 2020-06-12 19:34 -0700
      Re: are you interested in number theory AND programming Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-06-13 11:16 +0100
        Re: are you interested in number theory AND programming syedanwarowais5@gmail.com - 2020-06-13 04:07 -0700
          Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-13 07:20 -0700
            Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-13 07:47 -0700
            Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-13 08:29 -0700
          Re: are you interested in number theory AND programming Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-06-13 17:02 +0100
            Re: are you interested in number theory AND programming syedanwarowais5@gmail.com - 2020-06-13 23:11 -0700
              Re: are you interested in number theory AND programming syedanwarowais5@gmail.com - 2020-06-13 23:23 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-17 00:55 -0700
                Re: are you interested in number theory AND programming Richard Heathfield <rjh@cpax.org.uk> - 2020-06-17 09:30 +0100
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-17 02:32 -0700
                Re: are you interested in number theory AND programming Richard Heathfield <rjh@cpax.org.uk> - 2020-06-20 08:26 +0100
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-20 03:58 -0700
                Re: are you interested in number theory AND programming Richard Heathfield <rjh@cpax.org.uk> - 2020-06-20 14:55 +0100
                Re: are you interested in number theory AND programming Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-06-17 23:11 +0100
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-20 04:44 -0700
                Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-20 06:27 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-21 17:31 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-22 02:00 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-22 05:34 -0700
                Re: are you interested in number theory AND programming root <NoEMail@home.org> - 2020-06-22 14:05 +0000
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-23 04:50 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-23 15:50 +0200
                Re: are you interested in number theory AND programming Chad <cdalten@gmail.com> - 2020-06-23 14:34 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-24 01:39 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-24 15:48 +0200
                Re: are you interested in number theory AND programming Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-06-24 13:52 +0100
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-24 16:00 +0200
                Re: are you interested in number theory AND programming Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-06-24 17:03 +0100
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-24 20:32 +0200
                Re: are you interested in number theory AND programming Chad <cdalten@gmail.com> - 2020-06-24 14:19 -0700
                Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-26 06:24 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-26 16:28 +0200
                Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-26 06:11 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-22 09:39 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-23 00:50 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-23 05:14 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-24 02:39 -0700
                Re: are you interested in number theory AND programming Richard Heathfield <rjh@cpax.org.uk> - 2020-06-25 20:48 +0100
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-26 08:48 +0200
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-06-26 01:25 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-26 11:10 +0200
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-26 03:56 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-26 13:34 +0200
                Re: are you interested in number theory AND programming Boris Dorestand <bdorestand@example.com> - 2020-06-27 11:22 -0300
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-27 17:50 +0200
                Re: are you interested in number theory AND programming Boris Dorestand <bdorestand@example.com> - 2020-06-27 13:42 -0300
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-07-04 18:44 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-07-09 19:51 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-07-10 05:32 -0700
                Re: are you interested in number theory AND programming syed owais <syedanwarowais5@gmail.com> - 2020-07-10 09:03 -0700
                Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-26 06:02 -0700
                Re: are you interested in number theory AND programming James Dow Allen <jdallen2000@yahoo.com> - 2020-06-26 01:58 -0700
                Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-26 11:14 +0200
                Re: are you interested in number theory AND programming Richard Damon <Richard@Damon-Family.org> - 2020-06-26 13:10 -0400
                Re: are you interested in number theory AND programming Julio Di Egidio <julio@diegidio.name> - 2020-06-26 06:12 -0700
          Re: are you interested in number theory AND programming David Brown <david.brown@hesbynett.no> - 2020-06-13 23:28 +0200

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