𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Complex numbers and geometry

✍ Scribed by Liang-shin Hahn


Book ID
127448499
Publisher
Mathematical Association of America
Year
1996
Tongue
English
Weight
3 MB
Series
Spectrum series
Edition
2
Category
Library
City
Washington, D.C
ISBN-13
9780883855102

No coin nor oath required. For personal study only.

✦ Synopsis


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 complex numbers, readers are taken on a guided tour that includes something for everyone, even veteran professional mathematicians. Yet, the entire book is accessible to students at the high school level.The book is self-contained- no background in complex numbers is assumed- and it can be covered at a leisurely place in a one-semester course. Over 100 exercises are included. The book would be suitable as a text for a geometry course, for a problem solving seminar, or as enrichment for students who are interested in mathematics as part of culture.


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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 th

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