The Fundamental Theorem

The Fundamental Theorem of Arithmetic

The Fundamental Theorem of Arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes.

The Fundamental Theorem of Algebra

Every polynomial equation having complex coefficients and degree greater than or equal to 1 has at least one complex root.

This theorem was first proven by Gauss.

The Fundamental Theorem of Calculus

The first fundamental theorem of calculus states that, if is continuous on the closed interval and is the antiderivative (indefinite integral) of on , then