Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: What does one call vector geometry without a coordinate system?
Replies: 32   Last Post: Sep 9, 2013 4:45 PM

 Messages: [ Previous | Next ]
 lite.on.beta@gmail.com Posts: 134 Registered: 2/21/06
Re: What does one call vector geometry without a coordinate system?
Posted: Sep 3, 2013 9:16 PM

On Monday, September 2, 2013 10:51:43 PM UTC-4, Ken Pledger wrote:
>
> lite.on.beta@gmail.com wrote:
>
>
>

> > On Sunday, September 1, 2013 5:05:55 PM UTC-4, Ken Pledger wrote:
>
> > > .... I just call it "vector geometry". Some linear algebra textbooks
>
> > > have a chapter on it.
>
> >
>
> > Can you name one? Thanks
>
>
>
>
>
> There are two excellent out-of-print books which concentrate on it:
>
> A. M. Macbeath, "Elementary Vector Algebra", and Seymour Schuster,
>
> "Elementary Vector Geometry". A very through and well-written treatment
>
> that may still be in print is Walter Prenowitz, "Geometric Vector
>
> Analysis and the Concept of Vector Space", which is Chapter VI in the
>
> 23rd Yearbook of the National Council of Teachers of Mathematics. Any
>
> of those three would be well worth a bit of effort to find.
>
>
>
> A modern linear algebra book which starts with the geometry is David
>
> Easdown, "A First Course in Linear Algebra". He introduces geometrical
>
> vectors in Chapter 1, then develops the theory and geometrical
>
> applications in the next few chapters. (My students use this text.)
>
> The well-known book by Howard Anton, "Elementary Linear Algebra" has a
>
> briefer treatment in Chapter 3.
>
>
>

Thank you.
The one by Seymour Schuster looks available from amazon.com