Which philosopher is known for discovering analytical geometry and linking algebra with geometry?

René Descartes is renowned for his contributions to analytical geometry, which involves the use of algebraic methods to solve geometric problems. His work laid the groundwork for the Cartesian coordinate system, enabling the representation of geometric shapes in algebraic equations. This innovative approach effectively bridged the gap between algebra and geometry, allowing for the transformation of geometrical problems into algebraic forms and vice versa. Descartes' influence on mathematics and science cannot be overstated, as it provided a foundation for further developments in calculus and other advanced mathematical fields. His methodology not only advanced geometry but also paved the way for future mathematicians to explore the connections between different mathematical disciplines.