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Re: hypercube rotations

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luser droog <luser.droog@gmail.com> wrote:
> On Friday, July 15, 2016 at 7:14:09 PM UTC-5, JohnF wrote:
>> 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.
> 
> Thanks, fellows! Wikipedia also led me to this free textbook:
> "Linear Algebra via Exterior Products" (2010) by Sergei Winitzki.
> https://sites.google.com/site/winitzki/linalg
> which I will be reading while amazon does its thing.

Penrose is also free online,
http://chaosbook.org/library/Penr04.pdf
(which I hesitated to mention earlier since it's
pretty obviously pirated)
-- 
John Forkosh  ( mailto:  j@f.com  where j=john and f=forkosh )

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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

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