# Complex Numbers & Geometry

### By Liang-shin Hahn

Catalog Code: CNGE
Print ISBN: 978-0-88385-510-2
200 pp., Paperbound, 1994
List Price: $40.95 MAA Member:$32.95
Series: MAA Textbooks

The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully, resulting in easy proofs and natural generalizations of many theorems in plane geometry—such as the theorems of Napolean, Ptolemy-Euler, Simson, and Morley.

Beginning with a construction of complex numbers, readers are taken on a 140-page guided tour that includes something for everyone, even those with advanced degrees in mathematics. Yet, the entire book is accessible to a talented high-school student.

The book is self-contained–no background in complex numbers is assumed–and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem-solving seminar, or as enrichment for the student who wants to know more.

Preface
1. Complex Numbers
2. Applications to Geometry
3. Möbius Transformations
Epilogue
Preliminaries in Geometry
New Year Puzzles
Index