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Introduction to the Geometry of Complex Numbers
Langbeschreibung
Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.
Inhaltsverzeichnis
I. Geometric Representation of Complex Numbers1. Fundamental Operations
2. Fundamental Transformations
3. Anharmonic Ratio
II. Elements of Analytic Geometry in Complex Numbers
1. Generalities
2. Straight Line
3. The Circle
4. The Ellipse
5. Cycloidal Curves
6. Unicursal Curves
7. Conics
8. Unicursal Bicircular Quartics and Unicursal Circular Cubics
III. Circular Transformations
1. General Properties of the Homography
2. The Similitude Group
3. Non-similitude Homography
4. Möbius Involution
5. Permutable Homographies
6. Antigraphy
7. Product of Symmetries
Index
2. Fundamental Transformations
3. Anharmonic Ratio
II. Elements of Analytic Geometry in Complex Numbers
1. Generalities
2. Straight Line
3. The Circle
4. The Ellipse
5. Cycloidal Curves
6. Unicursal Curves
7. Conics
8. Unicursal Bicircular Quartics and Unicursal Circular Cubics
III. Circular Transformations
1. General Properties of the Homography
2. The Similitude Group
3. Non-similitude Homography
4. Möbius Involution
5. Permutable Homographies
6. Antigraphy
7. Product of Symmetries
Index
ISBN-13:
9780486466293
Veröffentl:
2008
Erscheinungsdatum:
05.03.2008
Seiten:
210
Autor:
Roland Deaux
Gewicht:
308 g
Format:
216x138x11 mm
Sprache:
Englisch
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