Imaginary Mathematics for Computer Science
The imaginary unit i = √-1 has been used by mathematicians for nearly five-hundred years, during which time its physical meaning has been a constant challenge. Unfortunately, René Descartes referred to it as “imaginary”, and the use of the term “complex number” compounded the unnecessary mystery ass...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Edition: | 1st ed. 2018. |
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| Online Access: | https://doi.org/10.1007/978-3-319-94637-5 |
Table of Contents:
- Introduction
- Complex Numbers
- Matrix Algebra
- Quaternions
- Octonions
- Geometric Algebra
- Trigonometric Identities using Complex Numbers
- Combining Waves using Complex Numbers
- Circuit Analysis using Complex Numbers
- Geometry Using Geometric Algebra
- Rotating Vectors using Quaternions
- Complex Numbers and the Riemann Hypothesis
- The Mandelbrot Set
- Conclusion
- Index.