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This course traces the development of hypercomplex numbers from complex numbers, emphasizing how arithmetic interacts with geometry. It examines Hamilton’s quaternions and Graves and Cayley’s octonions, including connections to formulas associated with Diophantus, Fibonacci, and Euler.
Syllabus
Introduction
Arithmetic
Mathematical Concept Field
Geometric Field
Hamilton
Most important property
Fermat
Oilers Formula
Quaternions
Octonians
Taught by
Insights into Mathematics