Mathematics is a formal science, which studies concepts such as quantity, structure, change, space and information. Pythagoras believes that mathematics is the origin of all things; Roentgen, winner of the Nobel Prize in Physics, regards mathematics as a necessary accomplishment for scientists. With the development of computer technology, mathematics has gradually jumped out of natural science.
The field of engineering technology plays an increasingly prominent role in many social levels and disciplines such as finance, population, environment, transportation and philosophy. As a branch of mathematics that mainly studies complex variable functions, complex analysis is not only integrated with algebraic geometry, combinatorial mathematics, number theory and applied mathematics.
It is widely used in nuclear engineering, aerospace engineering, mechanical and electronic engineering, fluid mechanics, quantum mechanics and other physical fields. This project focuses on complex analysis, which is a frontier subject of applied mathematics. The project description program describes the project contents including Cartesian coordinates and polar coordinates.
Parameters of complex numbers and logarithms, differentiable functions, Cauchy-Riemann equations, power series, Cauchy theorem, application of Cauchy integral formula, etc. Students will submit a project report at the end of the project to show the results.