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Komplexe Zahlen und ebene Geometrie
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Joachim Engel
Language:
German
Published/Copyright:
2016
About this book
This book is an introduction to the arithmetic of complex numbers, and explains their role in solving equations in both plane and non-Euclidean geometry. Exercises with solutions are included in every chapter and the textbook is rounded out with an appendix on calculating with complex numbers and conformal transformations in MAPLE and Cinderella.
- The third edition now includes a chapter on non-Euclidean geometry and numerous color illustrations
- Features introductions to MAPLE and Cinderella, with examples available online
- Contains practice exercises and solutions at the end of each chapter
Author / Editor information
Joachim Engel, Andreas Fest, Pädagogische Hochschule Ludwigsburg.
Topics
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Frontmatter
I -
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Vorwort zur 1. Auflage
V -
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Vorwort zur 2. Auflage
VII -
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Vorwort zur 3. Auflage
VII -
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Inhalt
IX -
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1. Komplexe Zahlen und ihre geometrische Darstellung
1 -
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2. Primzahlen im Komplexen
55 -
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3. Lösungen algebraischer Gleichungen
63 -
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4. Fundamentalsatz der Algebra
93 -
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5. Riemannsche Kugel
105 -
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6. Komplexe Funktionen
115 -
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7. Gebrochen lineare Funktionen
125 -
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8. Die Jukowski-Funktion und die Funktion w = z2
157 -
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9. Nichteuklidische Geometrie
163 -
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10. Komplexe Zahlen und dynamische Geometrie
177 -
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11. Komplexe Zahlen und Konforme Abbildungen mit MAPLE
189 -
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Stichwortverzeichnis
213
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 21, 2016
eBook ISBN:
9783110406870
Paperback published on:
March 21, 2016
Paperback ISBN:
9783110406863
Edition:
3rd edition
Pages and Images/Illustrations in book
Front matter:
11
Main content:
214
Illustrations:
160
Audience(s) for this book
Students of teaching, majoring or minoring in mathematics, instructors and teachers of mathematics, physics or engineering
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
