Tisdell Christopher C. Introduction to Complex Numbers

Bookboon, 2015. — 76 p. — ISBN: 978-87-403-1110-5.This ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages!
Complex numbers "break all the rules" of traditional mathematics by allowing us to take a square root of a negative number. This "radical" approach has fundamentally changed the capabilities of science and engineering to enhance our world through such applications as: signal processing, control theory, electromagnetism, fluid dynamics, quantum mechanics, cartography, and vibration analysis. A particularly beautiful connection between art and complex numbers lies in fractals, such as the Mandelbrot set.
Download this ebook and subscribe to the author's YouTube channel for more!http://www.YouTube.com/DrChrisTisdellWhat is a complex number?
Basic operations involving complex numbers
What is the complex conjugate?
How big are complex numbers?
Polar trig form
Polar exponential form
Powers of complex numbers
De Moivre’s formula
Connecting sin, cos with e
Regions in the complex plane
Complex polynomials.