Overview
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Explore the fascinating world of complex numbers and alternative number systems in this engaging mathematics video. Delve into the challenge of solving the equation x² + 1 = 0 beyond the realm of real numbers. Discover how this seemingly simple equation leads to the introduction of imaginary numbers and complex number systems. Investigate various approaches to solving this equation in different mathematical contexts, gaining insights into the nature of number systems and their properties. Enhance your understanding of abstract algebra and number theory as you journey through this thought-provoking exploration of mathematical concepts that extend beyond traditional real number solutions.
Syllabus
beyond real numbers: solving x² + 1 = 0 in different number systems
Taught by
Michael Penn