Schwerdtfeger H. Geometry of Complex Numbers 1980.pdf
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Textbook in PDF format
I discovered this book some twenty years ago while trying to improve my knowledge of plane geometry I used it especially to work on circle pencils: a part of geometry I had already encountered time and again setting up circles through two-rowed hermitian matrices and linear transforms {z->(az b)/(cz d) }as done in the book is both very pretty and efficient. The appendix (numbered 3) describing the use and applications of the characteristic parallelogram really appealed to me. I was also quite impressed by the way the cross ratio of 4 complex numbers is dealt with in the book to put icing on the cake, one can find within those 200 pages some knowledge of non euclidian plane geometry plan...and dynamical systems associated with linear transforms in the complex plane very informative and quite refreshing
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