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41 of 41 people found the following review helpful:
5.0 out of 5 stars
A starting point for independent mathematical explorers,
This review is from: Numbers and Geometry (Hardcover)
This is a book on elementary mathematics that treats its readers as curious human beings rather than intellectually spineless fools that must be drilled. There are excellent explanations of a lot of mathematics--some common, some unusual--and there are exercises that are actually interesting. Even more important, I believe, is that it opens so many doors for further reading, not least in areas that many undergraduates never get to see: classical geometry, classical number theory, foundations, non-Euclidean geometry, elliptic curves, algebraic number theory, projective geometry, etc. Also unique is the way in which every topic comes with truly meaningful and interesting applications: complex numbers lead to Gaussian integers and Fermat's two squares theorem, conic sections lead to projective geometry, trigonometry leads to Dehn's solution of Hilbert's third problem, etc.
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Numbers and Geometry by John Stillwell (Hardcover - October 30, 1997)
$64.95 $36.79
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