Imaginary Mathematics for Computer Science
Book information
Description
Provides a comprehensive introduction to imaginary mathematics for computer science Includes chapters on the Riemann hypothesis and the Mandelbrot set Contains a large number of worked examples Imaginary mathematics placed in an historical context Front Matter ....Pages i-xvii Introduction (John Vince)....Pages 1-10 Complex Numbers (John Vince)....Pages 11-53 Matrix Algebra (John Vince)....Pages 55-109 Quaternions (John Vince)....Pages 111-140 Octonions (John Vince)....Pages 141-151 Geometric Algebra (John Vince)....Pages 153-188 Trigonometric Identities Using Complex Numbers (John Vince)....Pages 189-193 Combining Waves Using Complex Numbers (John Vince)....Pages 195-219 Circuit Analysis Using Complex Numbers (John Vince)....Pages 221-227 Geometry Using Geometric Algebra (John Vince)....Pages 229-236 Rotating Vectors Using Quaternions (John Vince)....Pages 237-278 Complex Numbers and the Riemann Hypothesis (John Vince)....Pages 279-285 The Mandelbrot Set (John Vince)....Pages 287-291 Conclusion (John Vince)....Pages 293-296 Back Matter ....Pages 297-301
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