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Is advanced mathematics the pinnacle of pure mathematics?
It is the lowest level in pure mathematics. Higher mathematics refers to a more complicated part of mathematical objects and methods compared with elementary mathematics and secondary mathematics. Algebra, geometry and simple set theory in middle schools are called secondary mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.

Curriculum characteristics

Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection after17th century.

Compared with elementary mathematics and secondary mathematics, mathematics is more difficult to learn, so it is often called "advanced mathematics" and "calculus" in textbooks, which is a different major of science and engineering. Students majoring in literature and history learn mathematics shallowly, and different majors in literature and history have different depths. It is advanced mathematics that studies variables, but advanced mathematics does not only study variables.