15 - Complex Numbers & the Complex Plane

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  • เผยแพร่เมื่อ 5 ม.ค. 2025

ความคิดเห็น • 54

  • @dorothymarfleet5699
    @dorothymarfleet5699 4 ปีที่แล้ว +29

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

    • @MsMajore
      @MsMajore 3 ปีที่แล้ว

      I agree. I feel as if I am actually sitting in a classroom.

    • @josevillarroel3016
      @josevillarroel3016 3 ปีที่แล้ว

      Right up there with Eddie Woo

    • @gucciashton4731
      @gucciashton4731 2 ปีที่แล้ว

      He isn't a mathemetician, he is an engineer, so it's quite fab he knows so much about mathematics.

    • @Until835
      @Until835 6 หลายเดือนก่อน

      ​@@MsMajoreare you mathematician??

  • @ferrislkpokpa7867
    @ferrislkpokpa7867 3 หลายเดือนก่อน +2

    Jason is a teacher who makes you create a love for math and science. No match yet on Internet!

  • @jasonmarx9715
    @jasonmarx9715 3 ปีที่แล้ว +13

    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.

    • @MathAndScience
      @MathAndScience  3 ปีที่แล้ว +5

      Thank you so much!

    • @jasonmarx9715
      @jasonmarx9715 3 ปีที่แล้ว

      By the way, what is your official name, if I may ask?

    • @tallswede80
      @tallswede80 3 ปีที่แล้ว +1

      @@jasonmarx9715
      visit his website it has all the information

    • @Until835
      @Until835 6 หลายเดือนก่อน

      ​@@MathAndSciencewe love you teacher you did all the best to us .... May God bless you all the time 🙏

  • @lemigiojames3643
    @lemigiojames3643 4 หลายเดือนก่อน +1

    Congratulations, Jason. This is mathematically beautiful.

  • @ranjitkar3151
    @ranjitkar3151 9 หลายเดือนก่อน +1

    Thank you sir very helpful lecture🎉

  • @wwhsiung7759
    @wwhsiung7759 ปีที่แล้ว +1

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

  • @EbenezerJepchumba
    @EbenezerJepchumba หลายเดือนก่อน

    Watching this a day before my main exam ,,thanks sir🎉

  • @restlessheartonhold
    @restlessheartonhold 3 ปีที่แล้ว +1

    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 👍🏽🙏🏼

  • @kevinjones238
    @kevinjones238 ปีที่แล้ว +1

    Man, you are an amazing teacher!!!

  • @saltycoins8835
    @saltycoins8835 4 ปีที่แล้ว +2

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

  • @joydeepsingh9113
    @joydeepsingh9113 5 หลายเดือนก่อน

    Best video on the subject. Superlative.

  • @khaleddamha3127
    @khaleddamha3127 2 ปีที่แล้ว +2

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

  • @jobvida
    @jobvida 6 หลายเดือนก่อน

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

  • @bakytstndv1574
    @bakytstndv1574 ปีที่แล้ว +1

    Thank you for your videos.

  • @jaeltrans2011
    @jaeltrans2011 2 ปีที่แล้ว +1

    Great explanation!! Thank you!!

  • @aramroshani6197
    @aramroshani6197 4 ปีที่แล้ว +1

    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).

  • @tresajessygeorge210
    @tresajessygeorge210 ปีที่แล้ว +1

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

  • @Seaabb
    @Seaabb 4 หลายเดือนก่อน

    Well played sir, thank you!

  • @brightonomwasi5629
    @brightonomwasi5629 3 ปีที่แล้ว +1

    Thanks allot for the knowledge 🤗

  • @tictoc5443
    @tictoc5443 3 ปีที่แล้ว

    Such a passion for the subject
    Thankyou

  • @Divinesview-h7o
    @Divinesview-h7o 8 หลายเดือนก่อน

    Thanks sir Jason

  • @MathsAroundUs
    @MathsAroundUs 4 ปีที่แล้ว +1

    amazing videos sir.

  • @believekingsley
    @believekingsley ปีที่แล้ว

    Good teacher

  • @honestman276
    @honestman276 3 ปีที่แล้ว

    Thanks. From Bangladesh.

  • @mhmdb2479
    @mhmdb2479 2 ปีที่แล้ว

    Really nice illustrate

  • @shamsulmah9810
    @shamsulmah9810 4 ปีที่แล้ว

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

  • @luyombojonathan7715
    @luyombojonathan7715 2 ปีที่แล้ว

    Great lesson !!! Thanks alot

  • @mnia8917
    @mnia8917 ปีที่แล้ว

    thanks a lot . good luck

  • @abubakarkunjumohamed2325
    @abubakarkunjumohamed2325 3 ปีที่แล้ว

    Why dont we put a comma (3,i)

  • @guidofeliz8384
    @guidofeliz8384 5 ปีที่แล้ว

    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....

  • @MohammadAlshahrani
    @MohammadAlshahrani 5 ปีที่แล้ว

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

  • @aliabdulqader3208
    @aliabdulqader3208 3 ปีที่แล้ว

    Thx 😌 💕

  • @evgeniyaflowing9154
    @evgeniyaflowing9154 4 ปีที่แล้ว

    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

    • @mufakkirhussain2816
      @mufakkirhussain2816 4 ปีที่แล้ว +1

      0 is real number because it's not an imaginary number. Everything is real numbers except √-1 which (i).

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 ปีที่แล้ว

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

  • @jobvida
    @jobvida 3 ปีที่แล้ว

    do you mean zero is not pure real number?

    • @Until835
      @Until835 6 หลายเดือนก่อน

      Zero is Pure Real Number ..... because is the irrational ,,, we say irrational number are all numbers including Zero, may either be negative or positive. But all negatives are not Whole Real numbers 😅. Thank u🙏🙏🙏

  • @gonsz4390
    @gonsz4390 2 ปีที่แล้ว

    tksm

  • @omarabed8862
    @omarabed8862 2 ปีที่แล้ว

    Write .....

  • @jawaharramukkannan4689
    @jawaharramukkannan4689 2 ปีที่แล้ว

    Wowww

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 ปีที่แล้ว

    (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.

  • @zophiaandhannachannel7107
    @zophiaandhannachannel7107 3 ปีที่แล้ว

    안녕하세요

  • @zophiaandhannachannel7107
    @zophiaandhannachannel7107 3 ปีที่แล้ว

    Привет

  • @zophiaandhannachannel7107
    @zophiaandhannachannel7107 3 ปีที่แล้ว

    Tôi là của bạn

  • @sumitbhoi4070
    @sumitbhoi4070 2 ปีที่แล้ว

    .