Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > comp.lang.postscript > #2703

Re: hypercube rotations

Show all headers | View raw

Peter Billam <peter@www.pjb.com.au> wrote:
> On 2016-07-08, luser droog <luser.droog@gmail.com> wrote:
>> A year or two ago I tried to beef-up my vector analysis skills
>> by reading the very interesting History of Vector Analysis.
>> I can now spell Ausdehnungslehre, but I never figured out how
>> to do a Grassman product. Quaterions freak me out. For that 
>> matter, the complex plane still freaks me out. I think I need
>> to take a math class.
> 
> The most helpful intro to Grassman products I know is
> Roger Penrose "The Road To Reality" pp.211-215, 227-229.
> He's a great explainer, but it's a heavy book, 1094 pages...
> Not that I've ever actually _used_ a Grassman product :-)  
>    The complex plane is not scary, in fact Roger Penrose mostly
> exists in the complex plane. He introduces it in pp.81-83,87-88...

That's a terrific book, uniquely filling an otherwise empty niche,
introducing a lot of significant "mathematics for physicists"
for readers without all the usual prerequisites. You do need
enough background so as not to get scared just looking at math,
but then you come away really knowing some stuff. (Sometimes
I find him a bit too wordy with tangential prose, unnecessarily
interrupting the main stream of concepts to the point you can
lose track of what you were doing.)

> Wikipedia is really authoritative in this kind of thing,
> but it's often overwhelming, and
>  https://en.wikipedia.org/wiki/Exterior_algebra
> is a example of that :-( Regards,  Peter
> P.S. I've never used a quaternion either, and mainly know them from
>  http://math.ucr.edu/home/baez/octonions/
> by John C. Baez

He's done some really good work, too, and put up a lot of good
stuff on the web. Two nice references, pjb.
-- 
John Forkosh  ( mailto:  j@f.com  where j=john and f=forkosh )

Back to comp.lang.postscript | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread

Thread

hypercube rotations luser- -droog <mijoryx@yahoo.com> - 2016-06-20 12:34 -0700
  Re: hypercube rotations luser droog <luser.droog@gmail.com> - 2016-06-22 22:11 -0700
    Re: hypercube rotations Lawrence D’Oliveiro <lawrencedo99@gmail.com> - 2016-06-22 23:48 -0700
    Re: hypercube rotations JohnF <john@please.see.sig.for.email.com> - 2016-06-24 04:28 +0000
      Re: hypercube rotations luser droog <luser.droog@gmail.com> - 2016-07-08 01:43 -0700
        Re: hypercube rotations Peter Billam <peter@www.pjb.com.au> - 2016-07-14 09:41 +0000
        Re: hypercube rotations Peter Billam <peter@www.pjb.com.au> - 2016-07-15 06:19 +0000
          Re: hypercube rotations Bogus@Embarq.com (Steve) - 2016-07-15 12:15 +0000
          Re: hypercube rotations JohnF <john@please.see.sig.for.email.com> - 2016-07-16 00:14 +0000
            Re: hypercube rotations luser droog <luser.droog@gmail.com> - 2016-07-15 21:42 -0700
              Re: hypercube rotations JohnF <john@please.see.sig.for.email.com> - 2016-07-16 05:01 +0000
          Re: hypercube rotations luser droog <luser.droog@gmail.com> - 2016-09-13 18:14 -0700
        Re: hypercube rotations Lawrence D’Oliveiro <lawrencedo99@gmail.com> - 2016-08-05 00:10 -0700
    Re: hypercube rotations luser droog <luser.droog@gmail.com> - 2016-09-13 18:30 -0700

csiph-web