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Proofs That Really Count: the Art of Combinatorial Proof is an undergraduate-level mathematics book on combinatorial proofs of mathematical identies.That is, it concerns equations between two integer-valued formulas, shown to be equal either by showing that both sides of the equation count the same type of mathematical objects, or by finding a one-to-one correspondence between the different ...
Portrait of Erasmus of Rotterdam by Hans Holbein the Younger. Authentic portraits are ideal, but none exist for the vast majority of historic personalities. Where they exist, authentic portraits, i.e. artistic depictions of a person that purport to provide an individualized, authentic representation of that person's unique looks, based either directly or indirectly on a witness's first-hand ...
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