Numbers and Geometry Review

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Numbers and Geometry ReviewThis 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.Numbers and Geometry Overview

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