In China, students majoring in science and engineering (except mathematics, who study mathematical analysis) have difficulty in learning mathematics, which is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn a little shallower mathematics, and their textbooks are often called "calculus". Different majors in science and engineering, literature and history have different degrees of depth. Advanced mathematics with extended data includes:
Mathematical analysis: mainly including calculus and series theory. Calculus is the foundation of advanced mathematics, and it has a wide range of applications. Basically, all fields involving functions need knowledge of calculus. Among them, Fourier series and Fourier transform are mainly used in the field of signal analysis, including filtering, data compression and power system monitoring. The manufacture of electronic products is inseparable from it.
Real variable function (real analysis): one of the enhanced versions of mathematical analysis. Mainly used in fields such as economics that focus on data analysis.