Complex Numbers (Simplified but Incomplete Version)

This video explores about complex numbers in general, and their extraordinary properties. Complex numbers are a mystery, as these were abstract compared to real numbers. Note: Some students/lecturers mention that complex numbers is considered one of the hardest topics in college Pure Maths syllabus (eg. A-Level), thus this video provides a fast-track, but incomplete version of this topic. Timeline: Introduction: 0:00 Operations: 1:37 Complex number properties: 2:51 Geometrical Effects: 4:56 Multiplication by i: 6:40 Locus: 7:29 General Conclusion (Overall Pure Math Series): 8:54 Note: This video uses online materials from various sources and handwritten work is made by the creator. There is more writing as the creator wanted to show the proof & method used in each topic. It's also incomplete due to loci inequalities, de Moivre's Theorem and hyperbolic functions being absent from the video. Source: A Plus Topper, Imaginary Numbers and webspace.ship.edu. Bonus: Watch "How Imaginary Numbers Were Invented" by Veritasium.