How did the advancment of math formulas influence studies of architecture and science?

The advancement of mathematical formulas significantly transformed architecture and science by providing precise tools for modeling and analysis. In architecture, concepts such as geometry and calculus enabled the design of complex structures, allowing for innovations like arches and domes, while ensuring stability and aesthetic appeal. In science, mathematical principles facilitated the formulation of theories and laws, leading to advancements in fields such as physics and engineering. Overall, these developments fostered a deeper understanding of the natural world and improved the functionality and creativity of architectural designs.