15 - Complex Numbers & the Complex Plane 

Not only is Jason a brilliant mathematician but about the best teacher I have ever seen on video

For real, I always search for your channel whenever I'm going to start with a new topic because you clearly explain every single corner.

Thanks so much. You have made my mathematical world clearer. Excellent explaining. You're 1 of the best. Had I had you for my teacher, I would have been extremely delighted & successful in math. Thank you kindly 👍🏽🙏🏼

Best video on the subject. Superlative.

Complex number can be used to calculate the field of electromagnetic wave strength. This course is Good for EE degree candidate.

youre a legend sir, thank you for all of your videos

Man, you are an amazing teacher!!!

You're the best ,,, God bless you.

Thank you sir very helpful lecture🎉

Thank you for your videos.

THANK YOU... SIR...!!!

Great explanation!! Thank you!!

Thanks sir Jason

Thanks allot for the knowledge 🤗

Thanks for this excellent course but i have a question can we apply the complex numbers in 3 demesional shapes like as sphere (X^2 + Y^2 + Z^2 =R^2).

Such a passion for the subject Thankyou

why did you plot the imaginary numbers in a vertical line and not in any slope or angle?

Thanks. From Bangladesh.

amazing videos sir.

thanks a lot . good luck

Can you explain why the imaginary axis unit is depicted to have same length with the real axis unit?

Good teacher

Great lesson !!! Thanks alot

Really nice illustrate

Jason, What is your ultimate goal with making math videos? If you love teaching math, why didn't you become a math teacher? Just curious....

tksm

Good job, Try to get rid of shadows on your white board by using professional lights.

why we don't use i with imaginary part in order pair

Thx 😌 💕

(1) the definition of a complex number contradicts to the laws of formal logic, because this definition is the union of two contradictory concepts: the concept of a real number and the concept of a non-real (imaginary) number - an image. The concepts of a real number and a non-real (imaginary) number are in logical relation of contradiction: the essential feature of one concept completely negates the essential feature of another concept. These concepts have no common feature (i.e. these concepts have nothing in common with each other), therefore one cannot compare these concepts with each other. Consequently, the concepts of a real number and a non-real (imaginary) number cannot be united and contained in the definition of a complex number. The concept of a complex number is a gross formal-logical error; (2) the real part of a complex number is the result of a measurement. But the non-real (imaginary) part of a complex number is not the result of a measurement. The non-real (imaginary) part is a meaningless symbol, because the mathematical (quantitative) operation of multiplication of a real number by a meaningless symbol is a meaningless operation. This means that the theory of complex number is not a correct method of calculation. Consequently, mathematical (quantitative) operations on meaningless symbols are a gross formal-logical error; (3) a complex number cannot be represented (interpreted) in the Cartesian geometric coordinate system, because the Cartesian coordinate system is a system of two identical scales (rulers). The standard geometric representation (interpretation) of a complex number leads to the logical contradictions if the scales (rulers) are not identical. This means that the scale of non-real (imaginary) numbers cannot exist in the Cartesian geometric coordinate system. Consequently, the theory of complex numbers and the use of the theory of complex numbers in mathematics and physics (electromagnetism and electrical engineering, fluid dynamics, quantum mechanics, relativity) represent a gross methodological error and lead to gross errors in mathematics and physics.

Why dont we put a comma (3,i)

Write .....

Wowww

do you mean zero is not pure real number?

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Can anybody explain to me please how 0 is a real number if real numbers are those that fit the formula a+bi where a is not equal to 0 and b=0. But we can only get 0 if a=0 in this formula

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