
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 UTC4, Ken Pledger wrote: > In article <6dc55c4a0f724533b3eb39daadc61306@googlegroups.com>, > > lite.on.beta@gmail.com wrote: > > > > > On Sunday, September 1, 2013 5:05:55 PM UTC4, 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 outofprint books which concentrate on it: > > A. M. Macbeath, "Elementary Vector Algebra", and Seymour Schuster, > > "Elementary Vector Geometry". A very through and wellwritten 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 wellknown 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

