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Re: What does one call vector geometry without a coordinate system?
Posted:
Sep 3, 2013 9:16 PM
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On Monday, September 2, 2013 10:51:43 PM UTC-4, Ken Pledger wrote:
> In article <6dc55c4a-0f72-4533-b3eb-39daadc61306@googlegroups.com>,
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> lite.on.beta@gmail.com wrote:
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> > On Sunday, September 1, 2013 5:05:55 PM UTC-4, Ken Pledger wrote:
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> > > .... I just call it "vector geometry". Some linear algebra textbooks
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> > > have a chapter on it.
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> >
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> > Can you name one? Thanks
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> There are two excellent out-of-print books which concentrate on it:
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> A. M. Macbeath, "Elementary Vector Algebra", and Seymour Schuster,
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> "Elementary Vector Geometry". A very through and well-written treatment
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> that may still be in print is Walter Prenowitz, "Geometric Vector
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> Analysis and the Concept of Vector Space", which is Chapter VI in the
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> 23rd Yearbook of the National Council of Teachers of Mathematics. Any
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> of those three would be well worth a bit of effort to find.
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> A modern linear algebra book which starts with the geometry is David
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> Easdown, "A First Course in Linear Algebra". He introduces geometrical
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> vectors in Chapter 1, then develops the theory and geometrical
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> applications in the next few chapters. (My students use this text.)
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> The well-known book by Howard Anton, "Elementary Linear Algebra" has a
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> briefer treatment in Chapter 3.
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Thank you.
The one by Seymour Schuster looks available from amazon.com
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