To square a complex number, square the length, and double the angle. A vector is a directed line segment, an arrow if you will. Think of a complex number, z = a + bi, as a vector from the origin (0,0) to the point (a,b). In polar form, z can be written in terms of r, the distance from the … Continue reading Square of a Complex Number
You may have met the complex numbers. Gauss named them in 1831, but our knowledge of complex numbers was born in the first half of the 16th century in northern Italy with attempts to solve cubic equations. Leveraging knowledge from Tartaglia, Girolama Cardano published his findings in his book Ars Magna in 1545. Complex numbers have a real part and an … Continue reading Polar Form of Complex Numbers
Austin TX I was thinking about prime numbers this past summer. In Prime Parking, I mentioned the prime number theorem. It deserves a little more than the brief nod I gave it. Many great mathematicians worked on creating and proving a conjecture about how many primes can be found smaller than any given number. For … Continue reading Prime Number Theorem
Footpath Math: Chalk it up to a math geek 