Advanced mathematics is an ancient natural subject, with calculus as the main research object. The Renaissance17th century was the period when calculus came into being and developed. No matter from the establishment of Cartesian coordinate system, to the mathematical principle of Newton's natural philosophy, or from Fermat's minimum time principle to Leibniz's calculus rules, scientists' unremitting efforts and persistent pursuit, coupled with the applied mathematical problems studied by Bernoulli, Euler, Fourier and other scientists in the18th century, make this subject almost perfect; Advanced mathematics with calculus as its main research content has been formed.

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There is a detailed introduction to the development process, but it is ppt.