Embark on a captivating 90-minute journey through the world of complex numbers in this comprehensive video series. Explore the fascinating history and development of imaginary numbers, from their introduction to their practical applications in modern mathematics. Delve into Cardan's Problem, Bombelli's groundbreaking solution, and the concept of two-dimensional numbers. Discover the complex plane, master complex multiplication, and witness mathematical wizardry in action. Gain insights into complex functions, four-dimensional wanderings, and Riemann's revolutionary approach. Conclude with an exploration of Riemann surfaces, solidifying your understanding of how imaginary numbers are indeed real and integral to advanced mathematics.
Overview
Syllabus
Imaginary Numbers Are Real [Part 1: Introduction].
Imaginary Numbers Are Real [Part 2: A Little History].
Imaginary Numbers Are Real [Part 3: Cardan's Problem].
Imaginary Numbers Are Real [Part 4: Bombelli's Solution].
Imaginary Numbers Are Real [Part 5: Numbers are Two Dimensional].
Imaginary Numbers Are Real [Part 6: The Complex Plane].
Imaginary Numbers Are Real [Part 7: Complex Multiplication].
Imaginary Numbers Are Real [Part 8: Math Wizardry].
Imaginary Numbers Are Real [Part 9: Closure].
Imaginary Numbers Are Real [Part 10: Complex Functions].
Imaginary Numbers Are Real [Part 11: Wandering in 4 Dimensions].
Imaginary Numbers Are Real [Part 12: Riemann's Solution].
Imaginary Numbers Are Real [Part 13: Riemann Surfaces].
Taught by
Welch Labs
