Non-Euclidean geometry references
Name: jennifer m butler
Date: Around 1995
I was wondering if someone could suggest a good book, reference, or lesson
plan on non-Euclidean geometry for honors tenth graders?
Good question. I remember that I once set about looking for such a book. I
think that I had graduated from college at the time. It was not until much
later, after I got by graduate degree, that I began to understand the
Much work has been done since, and there are many new insights. A book that
was recommended to me, which I have but have not yet read, is "Geometry,
Relativity, and the Fourth Dimension" by Rucker, It is a Dover book, so
relatively (pun) cheap.
You might try Journey into Geometries by Marta Sved which is published by
the Mathematical Association of America. It costs $21.00 (Paper bound). It
can be read at several levels because it contains carefully selected
problems, many which would be challenging to college students. On the other
end of the spectrum, it is based on standard beginning geometry and is VERY
lively to read.
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Update: June 2012