Karl Weierstrass

Karl Weierstrass was a German mathematician known for his significant contributions to calculus and analysis. He is often called the "father of modern analysis" for introducing rigorous definitions of limits, continuity, and differentiability, which laid the groundwork for modern mathematical analysis. Weierstrass formalized the concept of functions, and his work on infinite series and the Weierstrass approximation theorem showed how continuous functions could be approximated by polynomials. His approaches emphasized the importance of precision in mathematics, influencing subsequent generations of mathematicians in their quest for a solid foundation in calculus and analysis.