Comparing the "best" mathematician among Euclid, Pythagoras, Newton, and Einstein is a challenging task because these individuals made significant contributions to mathematics in different eras and contexts. It's worth noting that their contributions span beyond mathematics into other scientific and philosophical fields as well. However, here's a brief overview of their mathematical accomplishments:
Euclid: Euclid, a Greek mathematician, is known as the father of geometry. He compiled and organized the foundational principles of geometry in his work "Elements." Euclid's deductive approach and rigorous axiomatic system had a profound influence on mathematics for centuries, and his work is still studied today.
Pythagoras: Pythagoras, a Greek mathematician and philosopher, is famous for the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem has countless applications in geometry and is one of the fundamental theorems in mathematics.
Isaac Newton: Newton, an English mathematician, physicist, and astronomer, made groundbreaking contributions to various fields. In mathematics, he developed calculus independently and made significant advancements in its theory and applications. His laws of motion and universal law of gravitation also revolutionized physics and had profound mathematical implications.
Albert Einstein: Einstein, a theoretical physicist, is best known for his theory of relativity, which fundamentally transformed our understanding of space, time, and gravity. While Einstein's work had deep mathematical underpinnings, his primary contributions were in theoretical physics rather than pure mathematics. Nevertheless, his equations and mathematical formulations had a tremendous impact on the mathematical and scientific community.
It is important to recognize that these individuals made significant contributions to different areas of mathematics and science, and comparing them directly to determine the "best" mathematician is subjective. Each mathematician made groundbreaking discoveries in their respective eras, and their contributions have had a lasting impact on the development of mathematics and our understanding of the physical world.