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Complex Numbers and Geometry.
・ISBN 978-1-4704-5182-0 paper US$ 50.00
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| 著者・編者 | Hahn, Liang-shin, |
|---|---|
| シリーズ | MAA Textbooks |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2020 |
| ページ数 | 192 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-12307> |
解説
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.