Newton influenced mathematical thinking by his theory of Gravity, in using his mathematical analysis to derive Keplers Laws, mathematically.
In addition his book "Principia" also influenced mathematical thinking, especially the invention of Calculus .
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Sir Isaac Newton's mathematical principles of natural philosophy?
Sir Isaac Newton
Sir Isaac Newton.. ...
Calculus, both differential and integral.
The logical - mathematical thinking think a critical thinking and a capacity to solve creatively different problems, areas of activity so ideal for owner at that type of thinking are applied physic, IT, mathematics, engineering and right. Among the great personalities of the world have shown that such thinking, we can list on Albert Einstein, Isaac Newton and Archimedes.