Textbook in PDF format
Introduction to the Geometry of Complex Numbers
Roland Deaux, Howard Eves
Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, topics are developed from the beginning, with emphasis on constructions related to algebraic operations. 1956 edition.
Table of contents
Geometric representation of complex numbers
Fundamental Operations
Fundamental Transformations
Anharmonic Ratio
Elements of analytic geometry in complex numbers
Generalities
Straight Line
The Circle
The Ellipse
Cycloidal Curves
Unicursal Curves
Conics
Unicursal Bicircular Quartics and Unicursal Circular Cubics
Circular transformations
General Properties of the Homography
The Similitude Group
Non-similitude Homography
Mobius Involution
Permutable Homographies
Antigraphy
Product of Symmetries