Introduction to Complex Numbers (1 of 2: The Backstory)

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[@bellamoon5244]

This guy is practically my teacher. I’m homeschooled, so I get to use his KZbin channel for 50% of my maths homework!

[@brunomello7499]

Hope everything worked out great for you!

[@rsaf_dude4794]

Same for me.

[@jankoskai]

my dog

[@brogcooper25]

I am an American engineer and I just watched this playlist to review some concepts. what I realized is that the American education system is seriously flawed and almost completely failed me. I even went to a private school where i completed first year calculus and yet somehow had to wait until college before I ever saw an argand diagram or a vector. some people here are even seriously trying remove algebra as a requirement to get graduation rates up. mr. woo, you are an amazing teacher and I am on to your logarithm playlist to see how else my expensive private American education failed me.

[@Pete-Logos]

I agree. I was lucky; my Dad was good at Algebra and Trigonometry so I caught a break. He tutored me and my friend, showed us how to find the square root of a number, by hand; he thought it ABSURD that American schools didn't teach us something so simple.But not everyone has Family or Friends knowledgeable, in Math particularly. That's when you have to rely on the school teachers & Education system and we didn't have youtube with awesome teachers like this guy, Sal Khan, Pat JMT, guy from 3Blue1Brown, Bill Shillito, etc. I graduated high school in '97, worked towards an associates in Music and CAD Design. Now I am going back for Logic/(Math.)

[@deyurao3197]

Haha I remember doing square root of 2 by hand in high school following some wikipedia article. It was so much fun!

[@justgame5508]

Brett Cooper Wow the uk education system is better than I thought then, how can you possibly get onto an engineering degree without seeing a vector or knowing logarithms like the back of your hand. Even standard A level maths (16-17 year olds) in the U.K. has 3D vectors in. That's without choosing further maths, also did you do physics? If so surly they taught you what a vector was

[@samb443]

I went to a us public school, we had argand diagrams, vectors and all the other stuff.

[@ahmadalfalasi8714]

Brett Cooper .

[@TheLunkan22]

Would kill to have a teacher like this

[@silentstorm9390]

me2

[@AlumniQuad]

I would resurrect to have a teacher like this

[@JJPMaster]

giuseppe3010 i think he ignored you because you were describing yourself

[@jonathanmorocho6898]

nahhh

[@eswnl1]

Why?

[@john_mckinney]

I wonder if you can imagine the amount of impact you have. I live in the Netherlands and my kids have profited so much from your lessons. Must be so satisfying knowing that kids all over the world are getting better in math!

[@AvinashSingh-ym8cw]

I never passed in maths coz it was boring never studied it never completed my maths homework, moreover if you can get promoted to next class even if you fail in one subject why not skip one. However this man is making me watch all his videos. You're great Eddie.

[@kurodragon7]

I feel like I;m getting addicted to Math. How outrageous is that?!

[@ik6882]

Sanjit Kumar omg sameeee

[@DeMOSic465]

Sameeeeeeee

[@jonathanmorocho6898]

nahhhh

[@srishtidotcom]

It's not. If you are indian, then it's not.

[@sujeetkumarsingh511]

bhai ye bohot tagda padha raha hai

[@reik2006]

Integer means "ganze Zahlen" (sometimes Ganzzahlen) in German and does translate to whole numbers. Natural numbers for instance are called "natürliche Zahlen".

[@Tarrasq-Eredar]

he had a mistake there, you wonder how someone understands math so good but fails to use google translate, we all are flawed in a way. Non the less very nice video

[@tomboytomgirl5356]

Prof. Woo: An exemplary professor. Thank you, so, much.

[@browniesnofrownies4843]

You’re an excellent teacher. I’m continuing to find myself even more lucky, as these concepts just make sense in my head. I just watched your calculus part 1 and 2 videos and it doesn’t seem nearly as hellish as many of the people I know describe it to be. I haven’t felt challenged much at all all the way through pre-calc. I plan on taking calculus my senior year of high school and I’m beyond excited. Hopefully I’ll actually have to put more thought into what I’m doing. I love math; I always have and always will. Not many people do, but I know that teachers like you give a sense of hope and understanding to people who don’t like math, something I fortunately have always had that I consider to be a gift.

[@garydunken7934]

Australia's popular maths teacher.

[@aishwaryajangir2909]

now, fortunately I'm on right channel after all these years of my life !! now I'm learning maths :)) wooooohoooo!! Eddie god bless you for being such a perfect teacher !

[@vernon249]

Thanks to your videos is the reason why is maths is easy .

[@haroldasraz]

This is a very elegant and straightforward explanation of an essential mathematical concept.

[@jojowolf6826]

Wish I had a teacher like you! The way you‘re teaching it, maths really feels like a fun game! 6:42: Anyways I’m from Germany and just wanted to mention that „Zahl“ (German) actually means number, not counting. „Zählen“ would mean counting.

[@bigrockets]

l wish I would have had a math teacher like this in college. Eddie you are amazing!

[@SalutLunar]

I love how Eddie says he's going to take a big step back before proceeding to step forward

[@graham2954]

This guy needs to be spoken about in the same context as David Attenbourgh. His students don't really deserve him.

[@laurensdehaan2202]

This guy is such a JOY to watch! As Bella Moon implies, this kind of content can likely make home schooling viable. However, since school is only PARTLY about formal education, it's not enough for a developing child.

[@kyriakabeya5911]

You're such a great teacher! I actually really love this.

[@dayashankarsuresh57]

In lockdown: I am just enjoying the study here with class like noises. 😌

[@jonathanvermeul2261]

Arabic numbers like we use today are slightly modified figures that show corners you can count. For example the 2 looked like a Z and it has 2 corners. Scott Flansburg shows this in one of his video's. He's the Guinness Book of Records fastest "Human calculator".

[@lalhruaitluangic8337]

What a fortunate time to have you tube to have the opportunity to watch this valuable video.

[@lunathestrnge8172]

Thank god you exist. Without you I would have failed my test!

[@samikshagurung2447]

the hard work and effort you put in to make your students understand👏👏. You remind me of my maths teacher in highschool , he too was so dedicated and probably the best teacher I have ever had .

[@bilalkhares9337]

Great teacher, I am a physics undergraduate and use this video if I forget why I love maths :)

[@alphaibrahimbarrie9195]

Hi, I am an engineering student from Sierra Leone, ur class's really help me thanks very much

[@philbowflaggon8363]

I got a warm fuzzy feeling at the 1, 2, 3 part.

[@oedesse]

Z stands for "Zahlen". That doesn´t mean counting. It means numbers. "Zählen" means counting. By the way: great Videos!

[@chennebicken372]

But „Zahlen“ actually also means „to pay“.🧐

[@1denisdenis]

@@chennebicken372 zahlen means to pay, Zahlen means numbers(plural), Zahl is number. All nouns in German are capitalised. Verbs on the other hand are not

[@reubenmanzo2054]

@@1denisdenis Yeah, the Germans love to capitalise on their nouns.

[@AlessandroZir]

oh, this is very intuitive and straightforward; thank you!!

[@charityrotich3287]

Hea in Uganda my tr just hinted on the topic..I am thankful coz he is my new teacher😊😊😁

[@sanju5914]

i am hooked to your videos sir

[@petten33]

This is a teacher. This person is awesome. This dude is effen good.

[@tuqann]

Al-Gaber "الجبر" is an ancient Arabic word that roughly translated to "inference from hidden truth" which came from the Islamic scholars who invented it and understood the principle connections between groups of numbers in a "formula". What's also interesting to note is that Algorithm comes from the Latinization of the Persian scholar Al-Khawazimi who pioneered the mathematical concepts that lay the foundations for the Turing test.

[@cosminduna3771]

Is this school real? With such professors most students will become scientist and humanity will evolve a lot. Thanks Mr. Woo, you give us hope. Unbelievable!

[@kimchhoeu1638]

High school teacher

[@JM-jc1vz]

Great educator.

[@braungebranntesmarshmallow9173]

Well I'm german and i wath these videos to improve my mathematical skills. I love your way of teaching. In germany its just a teacher asking and asking a LOT of irrelevant questions to us which basically makes our grades. You are telling so much information and the students just answer what they think so that you can comment on that. Until that video i did not even know that the Z stands for Zahl. (I think you said it means counting but actually it means number. not sure if you really said that) I love your vids! Keep going!

[@mawley3266]

Braungebranntes Marshmallow Same omg

[@user-yh6tf6ne4s]

Great teacher! Thank you! Your enthusiasm makes one want to understand the explanation. and the explanation was so good that it created not just understanding but enthusiasm in me. I learned more and I learned deeper about complex numbers from you than all my college professors combined.

[@h1natakaho62]

Zahl“ doesnt mean „counting“ but actually just means „number“. counting would be „zählen“

[@rohitkumarapu9825]

this is nice the explanations are great

[@tuqann]

one correction: the "anglo" numbers used don't count the lines, they count the angles. which is why the number 1 has a short line ticked on the main line. these originally were Arabic number script which Europe transitioned into during the renessance period, while Arabs steadily moved to use Indian number scripts, as they dove into the concept of zero from the ancient texts of Indian scholars centuries ago when trade routes were established at the end of the Islamic Empire's conquest age.

[@ali-k]

Such a chill dude

[@brunomello7499]

I remember that when I was at primary school I used to call the integers set "Zintegers" in order to remember the symbol

[@grainfrizz]

Subbed because of the beauty of your accent. Anyway, what course is this?

[@sjiscgemingpeapol5294]

Best Teacher

[@tinayanebanda6961]

love how he's so clear!!!!! thank you !!!!

[@valleeaurelien]

Ou my j bj toy

[@valleeaurelien]

Tinayane Banda pour just

[@valleeaurelien]

You j’y h

[@valleeaurelien]

I will call it to his h

[@valleeaurelien]

I

[@shahnazshaukat7253]

Great... Love from india

[@christophrenner1330]

I'm not studying maths, but man you make it interesting

[@khaledchatah3425]

Algebra was introduced by the Arabian mathematician Al Khawarezmi he also introduced the unknown number x and made the second power equations

[@fatimahaltaie3319]

How amazing teaching

[@elmariajin744]

When a teacher is too handsome and teaches flawlessly

[@miguelpires7380]

You are amazing ! Thanks (Portuguese subscraiber)

[@JabbaWockeez_]

i've had good teachers in math. and i was gifted with easy understanding in math until a certain point lmao. But what amazes me with Eddie Woo, it's his enthusiasm. Is he teaching math like that, every day, to every class ? Or is he kind of a consultant that makes few presentations to classes?

[@Champion_of_Vlaakith]

every day

[@uniqueh5203]

The only math teacher that makes you believe that math is science as well and just a set of rules.

[@kookooburu]

No idea what age group you teach Mr. Woo, but I'm a 3rd year Chemistry Masters student and find your videos very useful and still learn new stuff by watching them. You have very lucky students!

[@newcastlensw]

Mr Woo is a high school teacher in a public school in Sydney, Australia.

[@davidshechtman4746]

So the principal square root of 4 is two. But we recognize that there are actually two possibilities, two or negative two. Clearly the relationship going backwards from the creative process of geometric combination is not functional in terms of passing a vertical line test. In the case of (rectangles and squares drawn in the second and fourth quadrant) negative four we have either 2 × -2 or -2 × 2. There is no reason for imagined numbers. There are no inconsistencies in the recognition of alternately signed numbers being possible factors in the geometric composition of binomially factorable rectangles. The complex plane has been fruitful certainly. But the simplest way to analyze factors of squares is to be consistent with the Cartesian model.

[@garychap8384]

Is there a reason that Quaternions don't feature in the Fundamentals? Is it just that they don't resolve a contradiction or inconsistency in the prior art? If so, how do we know that we have all of the fundamental operations. After all, one could say that addition and it's inverse, subtraction, implied the negatives - and then stop, calling number theory complete. When we added multiplication, its inverse implied the reals. But again, we could have stopped there and called it complete. So, do Quaternions truly not belong in the evolution of number? Is there an operation we're not considering which implies them?

[@MathHunter]

My math teacher is your fan :)))

[@jflow5601]

very nice.

[@sepatumerah-ff8ef]

thank you for good the video

[@zainab-yo9fu]

great!!

[@alphaibrahimbarrie9195]

Can u upload calculus Differentiation involving logarithm and trig founction of integration

[@piyushgautam7142]

Had all concepts of complex numbers covered hare

[@sidskywalker8423]

I Agree!

[@pochorooster6370]

Is there any formula that will create sound out of silence?

[@smithmeister]

Man I wish I had KZbin in the 90s to save me from shitty, turgid teachers. God bless the democratisation of knowledge, and God bless you, Mr Woo!

[@sinagholamimalek5569]

great

[@andrewgonzalez7143]

Actually the Arabic numerals reflect their own values based upon how many non-obtuse angles are needed to write the numeral, NOT how many straight lines there are. Look up the first writings of Arabic numerals, and you'll see plenty of diagrams that show this.

[@vbmendrot1]

Kirigaya Kazuto what about 9, It doesn't have 9 angles , could you share where did you take that information? Because It seems not true

[@peterfireflylund]

That's known to be a myth.

[@janglestick]

no its not exactly a myth, it's just that as you go higher in quantity different systems contributed and were absorbed. You can find many versions of the number 9, some of which attempt to make the system work. The symbology changes. For example, the number 7 with the line drawn through the middle (which isnt in the txt char) is essentially the center of the number 4 with a triangle on top, 4 + 3. There are some very peculiar versions of 9, almost all had the same middle dash as the 7, and most had many more little dashes added. It seems to follow the same set of 'rules' as the 5 and 6. Another way to see the system is that you are confirming the tokens in a trade. Someone places tokens / coins on the ground, and you draw a line around them, confirming the tally, using the shape of the numeral.

[@unsharded8503]

Indian?

[@khaledchatah3425]

@@vbmendrot1 the number 9 was writen a square and 2 perpendicular lines attached to it if u wrote it u can see the 9 angle

[@dealcraftyt]

6:45 I really love your videos but the Z which stands for ”Zahl”, doesn’t translate to “counting”. The German word “Zahl” basically means Number/Integer as it is a synonym for “Nummer” (English: Number). The German word for counting would be “zählen”. I just had to mention it, sorry😅

[@kasperadamson4654]

Nambaaa

[@Liwet.]

Do you have to put +/- before a square root symbol? Doesn't the square root symbol already mean that the answer will be plus/minus?

[@itachi6336]

I'm assuming you know now ?

[@durchschnittlich]

Zahl doesn't mean counting, it means number. Zählen means counting

[@leonardosanchez9234]

Zahl number, Zählen "numbering"

[@Davidexolover]

Wish my math teacher was like him or him

[@cheonsalee5118]

If I had a teacher like him, i wouldn't ave dropped maths.

[@Dunkelelf3]

Zahl in german means number. counting would be zählen (yes with the umlaut) don't say zahlen and ignore the dots because zahlen would mean paying. lol. never thought about it but it kinda makes sense to have these roots in those words.

[@ashumishra10-a34]

Sir can you teach to find zeroes of cube root of 2

[@mawley3266]

Is it creepy that my teacher introduced complex numbers in exactly the same way?

[@adarshvenkateswaran795]

Probably watcyed this video. Seeing how positive this guys feedbsck is, a teacher would probably want to teach the same way

[@sujeetkumarsingh511]

@@adarshvenkateswaran795 Ha bhai tu sahi bol raha hai teacher to baccho bas padhai mein interest dilana chahte hai

[@pochorooster6370]

How rational is it to practice irrational methods?

[@soumyaranjanpanda5374]

Sir plz...... make a better playlist of whole complex analysis

[@WhatIsThisAllAbout]

this video should also be under philosophy course curriculum (if theres one)

[@redmichar2409]

You are great Mr woo but seriously those students of yours are really disturbing and unrespectful

[@silvankohler2643]

BTW Zahl means Integer

[@pochorooster6370]

How Is half of sound different from sound?

[@denisnchemba1018]

Why you assume 3 and 5 in complex numbers

[@WhatIsThisAllAbout]

I love you

[@immanuelkant7895]

King

[@HattoriManzo]

That "haha" was really....meh!

[@brijeshgurung8300]

would love to be in your class

[@pochorooster6370]

Can math make something impractically redondant valid?

[@jamarkinard1090]

I do cause you can have a number in your possession without it being there..

[@sunrain4820]

💕💕✌🏽❤️❤️

[@47Mortuus]

6:43 "Zahl" means "number", not "counting"

[@pochorooster6370]

Do re MI fa sol la ti are different. Can you have half A sound?

[@NeTfLeXr6s]

Hei Eddie! Small correction from ze germans: "Zahl" actually just means "number" in german :D

[@ramyavisani4104]

Where is he teaching in the video?

[@uscrktz]

Zahl is Number and zählen is counting ;)

[@likemath.]

Bạn dạy về cái gì đó của toán❤❤❤

[@matthewvicendese1896]

Eddie, you're not holding back that you're in the numbers are invented camp.

[@fabianlieret577]

Zahl=Number and zählen=counting

[@komalsingh9248]

Came after just after i saw him in ted ex video

[@Judexy22]

Hi Eddie ! Thanks for your Videos ! Good for my revisions. It is true the saying : " What you do not use, you lose " . 1. Have Numbers been created/invented by Man. I think so. 2. Are Mathematics created / invented by Man or Mathematics were / are discover able ? Personally, I think that Mathematics were / are discover able. 2. This debate has brought God into it ! Did God created Mathematics ? Obviously, no one could prove the existence of God, but it is only a belief because Humans are not use to Things falling from Nothing. So, the belief that God created all Things. What is of immediate interest is my Question in 1. above. Are Mathematics created / invented by Man or Mathematics were discovered by Man ? Thank you.

[@mymentor7908]

Mathematics is discovered and tricks are invented by human. Let consider the circle, it exists in nature before we human find its credentials and equations where you can solve the equation in more than one way is the trick to tackle the problem. We humans just take-off the dust from the hidden truths. as much i understand.