 Karl Weierstrass

Karl Weierstrass developed rigorous methods in analysis and the theory of functions. Precise limit arguments and power-series methods helped distinguish intuition about a curve from the hypotheses needed for a theorem. The Weierstrass approximation theorem shows that polynomials can approximate arbitrary continuous functions uniformly on a compact real interval.^[ref]

Karl Weierstrass (1815–1897) was a prominent German mathematician, often referred to as the "father of modern analysis." He made significant contributions to various areas of mathematics, particularly real analysis and complex analysis.