Archimedes contributed to physics by discovering Archimedes' Principle, the law that an object submerged in a fluid is acted upwards upon by a force equal to the displaced weight. In mathematics, he provided the proof that an area of a portion of a parabola is 4/3 the area of a corresponding triangle.
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Einstein did not make any notable contribution to mathematics.
Physics is entirely dependant of mathematics because mostly, physics actions require mathematic calculus to have it understood
Archimedes obstacles were simply that the things in life he had were not good enough and he had the will to improve and make new ideas to make people's lives easier.
Miss Beulah Shoesmith was a teacher. She excelled in math and demanded a high level of excellence from her students, many who went on to make great contributions in the fields of physics and engineering.
Make sure you follow all of the rules of the field of mathematics for which you are making the model.