Geometry Of Complex Numbers Research Articles

The Role of Complex Numbers in Interdisciplinary Integration in Mathematics Teaching

Complex numbers are an obligatory content of mathematics education. However, almost without exception, in all degrees of education their application is restricted to geometrical interpretation of the complex number and solving algebraic equations. It is well known that opportunities for mathematics teaching integration, offered by specific content topics, are not fully utilized, especially in higher degrees of education. In this paper, we will present program content that can significantly improve integration of teaching, and improve the training of future mathematics teachers. Needles to say, we can achieve the last with the introduction of a new teaching course Geometry of complex numbers, as well as with the study of the mentioned content within the existing courses in elementary mathematics found at the majority of faculties that prepare mathematics teachers.

Polynomiography and applications in art, education, and science

Polynomiography is the art and science of visualizing approximation of the zeros of complex polynomials. Informally speaking, polynomiography allows one to create colorful images of polynomials. These images can subsequently be re-colored in many ways, using one's own creativity and artistry. Polynomiography has tremendous applications in the visual arts, education, and science. The paper describes some of those applications. Artistically, polynomiography can be used to create quite a diverse set of images reminiscent of the intricate patterning of carpets and elegant fabrics, abstract expressionist and minimalist art, and even images that resemble cartoon characters. Educationally, polynomiography can be used to teach mathematical concepts, theorems, and algorithms, e.g., the algebra and geometry of complex numbers, the notions of convergence and continuity, geometric constructs such as Voronoi regions, and modern notions such as fractals. Scientifically, polynomiography provides not only a tool for viewing polynomials, present in virtually every branch of science, but also a tool to discover new theorems.

Classroom notes A geometric application of complex numbers

The object of this paper is to present an elegant solution to a classical geometric problem by using the geometry of complex numbers.

Geometry of Complex Numbers. By H. Schwerdtfeger. Pp. xi, 186. 30s. 1962. (Oliver and Boyd)

Geometry of Complex Numbers. By H. Schwerdtfeger. Pp. xi, 186. 30s. 1962. (Oliver and Boyd)

Geometry of Complex Numbers.

Geometry of Complex Numbers.

Introduction to the Geometry of Complex Numbers. By R. Deaux. Translated by H. Eves. Pp. 208. $6.50. 1957. (Ungar Publishing Co., New York)

Introduction to the Geometry of Complex Numbers. By R. Deaux. Translated by H. Eves. Pp. 208. $6.50. 1957. (Ungar Publishing Co., New York)

Introduction to the Geometry of Complex Numbers.

Introduction to the Geometry of Complex Numbers.