A-Level Further Maths: B1-01 Complex Numbers: Introducing Complex Numbers

[jamminermit]

Really love the maths history element here. Great video!

[reganafari]

I teach math but I get my inspiration from you. I hope to see you one day.😁

[shaheerziya]

I'm extremely grateful for these!

[minifazz]

Is their a playlist for just as level further maths because I can’t find one ?

[babajani]

Hello sir. Please correct me I am wrong. But aren't natural numbers the ones that exclude the 0 and whole numbers include it. Thank you

[frustratedhuman]

I believe this is covered in A Level Maths and not A Level Further Maths but I haven't checked the syllabus in a long time so I can't be certain.

Thanks for this anyway.

[CS-wyze]

What about Quaternions, Octonions and Sedenions? Surreal numbers and Hyperreal numbers over

[evelynharris]

Much simpler than that Wolfram MathWorld "Complex Number" and Wikipedia page.

Wolfram MathWorld has this:
"Unlike real numbers, complex numbers do not have a natural ordering, so there is no analog of complex-valued inequalities. This property is not so surprising however when they are viewed as being elements in the complex plane, since points in a plane also lack a natural ordering."
What does this mean?

The Wikipedia article on this is even more confusing.
The summary is "In summary, the complex numbers form a rich structure that is simultaneously an algebraically closed field, a commutative algebra over the reals, and a Euclidean vector space of dimension two"

How do you explain concepts like Complex Numbers simply while Wikipedia and Wolfram MathWorld defied my comprehension?

[solaymanbhuiyan]

hi sir,
i did: 40 = x(10 - x)
40 = -x^2 +10x
x^2 -10x +40 = 0
(x-5)^2 -25 +40 = 0
x-5 = \|-15
x = 5 + i \|15 , x = 5 + i \|15

[uitnfqb]

Is it strange that I’m in year 10 and want to learn about imaginary numbers for fun?

probably.

[arfa]

Sir, you've put this video twice on the website