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 Napoleon, Simson, Cantor and Morley.Beginning with a construction of compl
Complex numbers and geometry
β Scribed by Liang-shin Hahn
- Book ID
- 127427872
- Publisher
- Mathematical Association of America
- Year
- 1996
- Tongue
- English
- Weight
- 1 MB
- Series
- Spectrum series
- Edition
- 2
- Category
- Library
- City
- Washington, D.C
- ISBN-13
- 9780883855102
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. 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.
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