Weierstrass theorem

Several theorems are named after Karl Weierstrass. These include:
 * The Weierstrass approximation theorem, of which one well known generalization is the Stone–Weierstrass theorem
 * The Bolzano–Weierstrass theorem, which ensures compactness of closed and bounded sets in Rn
 * The Weierstrass extreme value theorem, which states that a continuous function on a closed and bounded set obtains its extreme values
 * The Weierstrass–Casorati theorem describes the behavior of holomorphic functions near essential singularities
 * The Weierstrass preparation theorem describes the behavior of analytic functions near a specified point
 * The Lindemann–Weierstrass theorem concerning the transcendental numbers
 * The Weierstrass factorization theorem asserts that entire functions can be represented by a product involving their zeroes
 * The Sokhatsky–Weierstrass theorem which helps evaluate certain Cauchy-type integrals