Complex Numbers and Geometry

Liang-shin Hahn

ISBN 10: 1470451824 / ISBN 13: 9781470451820

Editore: American Mathematical Society, US, 2020

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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 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.

Codice articolo LU-9781470451820

Dati bibliografici

• Titolo: Complex Numbers and Geometry
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 1470451824
• ISBN 13: 9781470451820
• Rilegatura: Paperback
• Condizione: New
• Peso: 290 grammi

Descrizione articolo

Riassunto

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.