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.
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.
I. Geometric Representation of Complex Numbers 1. 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
I. Geometric Representation of Complex Numbers 1. 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
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