
- 204 pages
- English
- PDF
- Available on iOS & Android
Complex Numbers and Geometry
About this book
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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Information
Table of contents
- Preface
- Contents
- Chapter 1: Complex Numbers
- Chapter 2: Applications to Geometry
- Chapter 3: Mobius Transformations
- Epilogue
- Appendix A: Preliminaries in Geometry
- Appendix B: New Year Puzzles
- INDEX
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