Cauchy was the first mathematician who developed definitions and rules for mathematics. He introduced the definitions of the integral and rules for series convergence. There are sixteen concepts and theorems named after him.
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he published his theories about calculus in 1684
Pascal may have used some device or gadget to help do some math but he did not invent any type of calculator you are familiar with. Since tax calculations are mostly simple arithmetic and table lookups, calculators may help you do some of the math but they won't help solve taxes. Nothing can help solve taxes ;)
There was a demand for a huge number of manual calculations to create tables - many of them for navigational purposes - where similar calculations needed to be repeated many times.
You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).