Intro to Complex Analysis
Complex numbers are numbers that consist of a real part and an imaginary part, expressed in the form $$a + bi$$, where $$a$$ is the real part, $$b$$ is the imaginary part, and $$i$$ is the imaginary unit, defined as $$i = \sqrt{-1}$$. They extend the concept of one-dimensional number lines to a two-dimensional plane, allowing for solutions to equations that have no real solutions. This two-dimensional nature is crucial for understanding their algebraic properties and operations.
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