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Mathematics LibreTexts

1: Preliminaries

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  • 1.1: Complex Numbers
    The complex numbers were originally invented to solve problems in algebra. It was later recognized that the algebra of complex numbers provides an elegant set of tools for geometry in the plane. This section presents the basics of the algebra and geometry of the complex numbers.
  • 1.2: Quaternions
    The quaternions, discovered by William Rowan Hamilton in 1843, were invented to capture the algebra of rotations of 3-dimensional real space, extending the way that the complex numbers capture the algebra of rotations of 2-dimensional real space.
  • 1.3: Stereographic Projection
  • 1.4: Equivalence Relations


This page titled 1: Preliminaries is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by David W. Lyons via source content that was edited to the style and standards of the LibreTexts platform.

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