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This course explores the historical development of complex numbers through cubic equations, calculus computations, geometric representation, and the Fundamental Theorem of Algebra. It outlines ideas behind proofs by d'Alembert and Gauss.
Syllabus
Introduction
History of complex numbers
The cubic formula
The imaginary number
The integral
Fundamental Theorem
Geometric Representation
Argonne
Theorem of Algebra
Proof
Gauss proofs
Taught by
Insights into Mathematics