Побудова конформних відображень та дослідження їх властивостей за допомогою СКМ MAPLE

Abstract

Approaches to the construction of conformal mappings using the standard commands of the computer mathematics system Maple are considered, and also on the basis of creating custom procedures. The mathematical model and computer realization of visualization of the main property of the conformal mapping - preservation of angles between the lines at the point of the complex plane - is created. Using the elements of the theory of conformal mapping, the properties of the known transformation in the theory of limit states are investigated.