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23 Feb

A First Look at "The Population Explosion" Book

Tweet The book in fact has a longer title: The Population Explosion and Other Mathematical Puzzles. The title warrants an observation. I once wrote of the difference in attitude of mathematicians and puzzlists to solving problems. While, for a puzzlist, solving a problem is a goal in itself, for a mathematician it may serve as […]

15 Feb

A Problem in Complex Numbers Sets 3 Aside

Let $a,b$ be complex numbers that satisfy $\displaystyle\frac{a}{b}+\frac{b}{a}+1=0.$
Find the value of the expression $\displaystyle\frac{a^{2016}}{b^{2016}}+\frac{b^{2016}}{a^{2016}}+1.$