Karl Weierstrass

Karl Weierstrass was a renowned mathematician whose work greatly influenced the development of analysis in the 19th century. He was known for his rigorous approach to mathematical analysis and his contributions to the theory of functions.

One of Weierstrass's most famous contributions is the definition of a continuous function. He showed that a function can be continuous at a point without necessarily being defined there. This concept is essential in calculus and helps to understand the behaviour of functions.

Weierstrass also made significant advances in the study of power series and their convergence properties. This work is crucial in understanding functions as infinite sums of polynomials, a fundamental idea in calculus.

Overall, Karl Weierstrass's work laid the foundation for modern analysis and greatly influenced the development of mathematics. His contributions are still studied and appreciated by mathematicians around the world."