Complex numbers are an extension of the real numbers that include a specific element denoted i, called the imaginary unit. They allow solutions to all polynomial equations and form a rich structure that is simultaneously an algebraically closed field, a commutative algebra over the reals, and a Euclidean vector space of dimension two. Complex numbers can be added, subtracted, and multiplied using the rule i2 = -1.
UC Berkeley
Spring 2020
This is an introductory course to computer science theory, exploring the design and analysis of various algorithms, number theory, and complexity. The prerequisites include familiarity with mathematical induction, big-O notation, basic data structures, and programming in a standard language.
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