ENGLISH

Geometry of Complex Numbers

By Hans Schwerdtfeger

Book information

Publisher
Dover Publications
Year
1980
ISBN
0486638308, 9780486638300
LCC
QA255 .S36 1979
Open Library ID
OL4427658M
Language
english
Format
DJVU
Filesize
2 MB (2169877 bytes)
Pages
215\215
DPI
600
Scanned
no
Time added
2010-02-18 13:16:04

Description

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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