JonathanOct 13, 2021Fun MathematicsThe Arithmetic Derivative (Part 3)Let us count The nice thing about the arithmetic derivative is that it takes a natural number to another natural number. This leads to...

JonathanOct 12, 2021Fun MathematicsThe Arithmetic Derivative (Part 2)Our first pattern So we've taken the usual rules for differentiation and applied them to natural numbers: D(ab) = aD(b) + D(a)b with...

JonathanOct 9, 2021Fun MathematicsThe Arithmetic Derivative (Part 1)An introduction If you've done calculus, then you've talked about differentiation. We usually talk about this in terms of "linear...