*Q.E.D.*presents an array of simple mathematical proofs, most of them geometrical and with the intuition driven by illustrations. Each of the double-page topics is largely self-contained, making for an accessible and entertaining collection.

A lot is packed into sixty pages. Polster uses methods including approximation, dissection, rearrangement and folding to explore conic sections, cycloids, prime numbers, irrationality, Fibonacci numbers and the Golden Ratio, and much more. Appendices add material on dissection illusions, infinite sequences, and higher-dimensional polytopes.

The cover and format of *Q.E.D.* suggest an easier book. While it doesn't
assume that much, anyone who has no previous acquaintance with basic
geometry and algebra — or who has and didn't enjoy it — is likely to
find *Q.E.D.* difficult going. Concepts such as congruence and induction,
for example, are probably explained too rapidly for people to whom they
are completely new.

*Q.E.D. Beauty in Mathematical Proof* could be enjoyed by exceptional
primary school students, but is probably most suited to high school
students or adults with an affinity for geometrical mathematics.

October 2009

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