In most (if not all) textbooks on complex calculus, the differentiation and integration of complex functions are presented by using the algebraic form of complex variables because the respective formulae in terms of the polar form are inappropriate. In this paper, we demonstrate that by transferring the field structure of the system of complex numbers to the Riemann surface of complex logarithm and changing the sense of derivative and integral, complex calculus can be delivered in terms of the polar form of complex variables identically to the presentation in terms of algebraic form.

With the extensive use of information technology and the development of education informatization infrastructure, the educational sector is placing increasingly high demands on the quality of instructors' informatization. The progress of education implementation is largely determined by level of informationization of instructors. Teachers are the most important entity of learning and determining factor. The modern and scientific assessment of the development of information learning is an essential element of education. This paper uses regression method to assess the teacher development information platform and numerical facts to confirm and determine a linear regression concept for the community. The multiple linear regression assessment techniques are used to develop the linear regression computational formula of the educational development of information stage, and the influence of different factors is analysed to develop a science-based assessment method to assess the education of instructors' information on the basis of the statistical analysis of the assessment indexes of the schooling implementation of the information stage.