Algebra 78 - Imaginary and Complex Numbers

The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include these new types of numbers laid the groundwork for important advances in fields such as electrical engineering and physics. This lecture explains how this extension to our number system follows a long history of other additions, extending natural numbers to include integers, rational numbers, and real numbers.

[umaisshahid]

Thank GOD he uploaded video after so long

[BEKnowledge]

i hope that you made a series on trigonometry, calculus ... PLEASE

[najibqunoo]

A sneak peak for the next videos in this series will be:-
(First): Expanding linear brackets when multiplying complex numbers
(Second): Division and using complex conjectures
(Third): Factorising sums of squares using complex pairs
(Fourth): Raising Imaginary numbers to exponents.
So finally the topic I waited for in this channel to illustrate

[praveensagar]

Tq sir when will series on trigonometry and calculus

[Nofaz]

hope that algebraic number and transcendental number will also be covered

[visualgebra]

Sir, I want a full video on developing of number system from natural to real numbers

[mariostar]

6:04 - ...which I always thought was cheating and not really a proper numerical operation. Numbers were invented to quantify things in the real world, so WHY THE HELL WOULD YOU HAVE SQUARE ROOTS OF NEGATIVES?!

[MrOlson-fnlw]

Hey, just taking a look at something...

[visualgebra]

After that Dedekind theory of real numbers