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Where the Numbers Live: Arithmetic Algorithms from Euclid to Kahan, and the Algorithms Series Finale

A fictional ledger engineer finds that her company's books are out by a few cents after a billion transactions, and that adding the same numbers in a different order changes the total. A fictional firmware engineer must make a smart lock compute a two-thousand-bit power in under a second on a chip that cost forty cents, without leaking its key through its timing. From a Greek geometry textbook written around 300 BC to a professor counting twin primes in Virginia who found that a brand-new processor could not divide, this is where the numbers actually live, and the finale of our 21-part…

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