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Newton's Mathematical Achievements
Newton/Kloc-entered Cambridge University at the age of 0/9 and became a fee-reducing student at Trinity College. He pays his tuition by doing housework for the university. Here, Newton began to contact a large number of natural science works, and often attended various lectures held by the college, including geography, physics, astronomy and mathematics. Isaac Barrow, Newton's first professor, was a learned scholar. The scholar had a unique vision and saw that Newton had profound observation and keen understanding. So he taught Newton all his mathematical knowledge, including the method of calculating the area of curve graphics, and led Newton to the research field of modern natural science.

Newton later recalled: "Dr. Barrow taught courses in kinematics at that time, and perhaps it was these courses that prompted me to study this problem."

Newton relied heavily on teaching himself mathematics at that time. He studied Euclid's Elements of Geometry, Descartes' Geometry, Wallis' arithmetica infinitorum, Barrow's lectures on mathematics and the works of many mathematicians. Among them, Descartes' Geometry and Wallis' arithmetica infinitorum had a decisive influence on Newton and led him to the forefront of mathematics at that time-analytic geometry and calculus. 1664, Newton was elected as Barrow's assistant, and the next year, the Council of Cambridge University passed the decision to grant Newton a bachelor's degree.

Just as Newton was preparing to stay in school for further study, a serious plague swept through Britain, so Cambridge University closed and Newton left school for home. The quiet environment in his hometown made his thoughts spread their wings and fly, with the whole universe as a barrier. This short time became the golden age of Newton's scientific career, and his three great achievements: calculus, gravitation and optical analysis were conceived and formed at this time. It can be said that Newton at this time has begun to describe the blueprint of most scientific creations in his life.