What is the number "e" and where does it come from?

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  • Опубликовано: 11 янв 2025

Комментарии • 2,2 тыс.

  • @Iron-Bridge
    @Iron-Bridge 4 года назад +2662

    Society needs more teachers like this guy. Young, smart, relatable to youth and able to convey complex subjects in a simple way.

    • @Avighna
      @Avighna 3 года назад +31

      He's such a good teacher. I wish I had him as one of my teachers :(

    • @stevekru6518
      @stevekru6518 2 года назад +19

      Society in most of the US has decided teachers like him are needed only if they have an Education Degree (as opposed to a math or other STEM degree) and if he is a teachers union member.

    • @thenuggywuggy8389
      @thenuggywuggy8389 2 года назад +2

      I wish this was my math teacher, cause my math teacher makes us do these terrible projects focused on graphing, which we did for the entire year. Also she explains stuff in confusing ways and says we should have learned something we didn’t.

    • @JitendraSingh-qd7jk
      @JitendraSingh-qd7jk 2 года назад +6

      and handsome too

    • @DrakeRing
      @DrakeRing 2 года назад +8

      Idk about the young part

  • @cheongth01
    @cheongth01 6 лет назад +3381

    No math teacher ever explained how the value of e is derived to me in all my years of schooling.... until now

    • @Mubibum
      @Mubibum 3 года назад +10

      69 likes...nice

    • @quaffie
      @quaffie 3 года назад +32

      school doesnt usually teach you that
      i learned it in a 'math for engineers' lecture

    • @Lightwar49
      @Lightwar49 3 года назад +27

      @@quaffie but to be fair you cant just throw of an transcendental number and expect to know what the hell it's supposed to mean

    • @manwork6545
      @manwork6545 3 года назад +5

      Sorry but this is just an approximation of e only. Not e! This value doesn't exist unfortunately!

    • @lovegarbage
      @lovegarbage 3 года назад +6

      Probably because my maths teachers didn't know.

  • @reetasingh1679
    @reetasingh1679 8 лет назад +3081

    This guy is just brilliant... I was speechless.
    He made maths so fun and interactive, something almost no teacher does. It's not all boring formulae and stuff, this guy actually involves the class and explains stuff extremely well. Hats off!

    • @mdw159
      @mdw159 8 лет назад +14

      Mind blown..... I wonder my lectures 12 years ago like him.... :-)

    • @danny1451
      @danny1451 7 лет назад +8

      Maybe our Aussie teachers need to take a leaf from his book, passion cost nothing!!

    • @ayandamtolo8312
      @ayandamtolo8312 7 лет назад +24

      actually teachers like these are really costly because they are rare and usually they are really qualified thus they find it easy to explaim

    • @ankurrai8677
      @ankurrai8677 7 лет назад +1

      NO OFFENCE INTENDED. Actually he is teaching in such a way so that even the weak minds(about +97℅ of the human population) which might be considered as good by those +97℅ people but the truth is that by this way mathematics (in the known sphere of humans) won't evolve and that's what is happening we have not told about any new discovery (in this field ) since 3 to 5 decades

    • @ankurrai8677
      @ankurrai8677 7 лет назад +2

      NO OFFENCE INTENDED. Actually he is teaching in such a way so that even the weak minds(about +97℅ of the human population) which might be considered as good by those +97℅ people but the truth is that by this way mathematics (in the known sphere of humans) won't evolve and that's what is happening we have not told about any new discovery (in this field ) since 3 to 5 decades

  • @kevinkasp
    @kevinkasp 2 года назад +498

    The single best way of explaining "e" by anyone, anywhere. And I believe this is how the number e was originally discovered. Truly excellent teaching. These students have no idea how genuinely lucky they are. Around the world literally a billion people have learned the number e and how to use it in calculus and other maths courses, and have been using it for years with still no clue how this mystical thing came about. These kids will have no fear of using it and will totally get it's significance and be able to teach it to anyone. Bravo Eddie Woo.

    • @yami_the_witch
      @yami_the_witch Год назад +4

      The way e was discovered is because of Calculus. Mathematicians wanted to find a function where it would be it's own derivative. So you have to solve the differential equation f(x) = f'(x), and out pops e if you do some complex mathematics. All of the rest are then discoveries afterwards.

    • @spookynelly912
      @spookynelly912 Год назад +5

      @@yami_the_witch that is not at all how it was first discovered

    • @zaczac3024
      @zaczac3024 Год назад

      Yes!

    • @YuezhiTribe
      @YuezhiTribe Год назад

      Exactly!

    • @mastod0n1
      @mastod0n1 Год назад

      The numberphile video on "e" explains it in the same way.

  • @aplimsollpunk2738
    @aplimsollpunk2738 5 лет назад +1596

    Still amazing 4 years later.
    Also, that class in the background sure is engaged.
    4:36 "Shut up. Shut up."
    4:31"Holy shit that was fun!"
    7:57" Whooaa-

  • @natashalim3964
    @natashalim3964 6 лет назад +4684

    Besides the accent, the way you know this is an Australian classroom is by how casually someone swears in front of the teacher

  • @aidanivesdavis
    @aidanivesdavis 9 лет назад +2676

    Passionate teacher:) Well done! Way to engage the class.

    • @RadicalCaveman
      @RadicalCaveman 9 лет назад +1

      +Aidan Davis Cool teach, cool class.

    • @JohnyAngelo
      @JohnyAngelo 8 лет назад +1

      +Aidan Davis Well, hes young.

    • @johnthe3rd383
      @johnthe3rd383 7 лет назад

      Aidan Davis I was first

    • @andrewcbuensalida
      @andrewcbuensalida 5 лет назад +3

      Is there even a class? Or were the students' voices dubbed in to make you think he's teaching a class ;)

    • @mrlordsaif5708
      @mrlordsaif5708 5 лет назад

      @@andrewcbuensalida ok

  • @TheMrMonk11
    @TheMrMonk11 8 лет назад +907

    Dude, I'm a secondary teacher (in my second year now), you are literally my inspiration. You're now my reference point for how good a teacher I can be.

    • @Raysnature
      @Raysnature 6 лет назад +13

      @Odai Jabari'll also say watch how he holds discipline in the class too. Not apparent in this video but in others he does have to call students to account and he is brilliant IMHO at that too.

    • @tristramgordon8252
      @tristramgordon8252 5 лет назад +2

      Just apply the maths you are teaching to a real world situation, job done. Everyone is interested.

    • @keramidasnicolas2079
      @keramidasnicolas2079 4 года назад +10

      Mark, you certainly are a good teacher, too, because you recognise and try to imitate a good teacher. Good luck.

    • @michellewest6929
      @michellewest6929 4 года назад +9

      You are already a very good teacher for you actually care about the students and are willing to modify and improve your methods to adjust the student’s needs.

    • @sodiboo
      @sodiboo 3 года назад +3

      Second year 4 years ago? So, how's the teaching going? Have any great stories from your experience in the last 6 years? Do the students like you?

  • @Destruction320
    @Destruction320 5 лет назад +727

    The students who are lucky enough to be taught by teachers like this one will find it easier to live in this world. Too bad there are very few teachers like him.

    • @stevekru6518
      @stevekru6518 3 года назад +12

      Yes, too bad, but in most of the US it is not coincidence. State licensure requirements, supported by unions, mandate college degrees in education. As a general rule, talented math students will not put up with simplistic education courses. As a well known writer explained, when visiting colleges he saw STEM majors working on problem sets, while the education majors were cutting letters using safety scissors on poster board.

    • @veramae4098
      @veramae4098 Год назад

      They go into better paying jobs, and where they don't have to deal with constant student harassment.

    • @arnesaknussemm2427
      @arnesaknussemm2427 Год назад +3

      @@veramae4098 and constant pointless beaucracy

    • @ahmedalhomaide4416
      @ahmedalhomaide4416 Год назад +2

      That's why RUclips is here!😁

  • @ge_song5
    @ge_song5 4 года назад +381

    people like this should be famous, they actually make a difference in our life.

    • @virajnagpure
      @virajnagpure 2 года назад +5

      Totally agreed. Meanwhile, other RUclipsrs who call themselves influencers or "content creators" don't know the difference between content and garbage!

    • @slayin1496
      @slayin1496 2 года назад +15

      ​@@virajnagpure because those content creators provide entertainment which may not serve as much utility but increase happiness instead which is arguably just as important. An unhappy individual is generally less productive and their ability to learn and perform goes down. Not saying a youtuber is more important than this guy by any means, just that they're not innately useless, I don't know where i'd be without some of the "content creators" I watch. Big fan of Eddie wu though lol he was at my mum's uni graduation and filmed a miniseries at my school, his videos helped me through my HSC and definitely contributed to my grades

    • @ProSquidGaming
      @ProSquidGaming Год назад

      He is

  • @dejanaleksic904
    @dejanaleksic904 8 лет назад +717

    I love how he explained everything in only 8 minutes, my teacher was talking about this for 3 and a half hours, and nobody understood the formula, we all just memorized it... Congratulations!

    • @arsive02
      @arsive02 6 лет назад +27

      Atleast your teacher had taught you about this unlike my teacher.

    • @MikaelS5
      @MikaelS5 6 лет назад +19

      atleast you have a life

    • @azqswx90
      @azqswx90 5 лет назад +20

      @@MikaelS5 at least you have a.. Oh damn it I think you won that battle

    • @chunchunmaru
      @chunchunmaru 5 лет назад +3

      yeah dude, it's so hard to memorize e^x

    • @imperatorrm
      @imperatorrm 5 лет назад +22

      @@chunchunmaru To quote Richard Feynman: "there's a difference between knowing the name of something and knowing something"

  • @mturker100
    @mturker100 8 лет назад +189

    I had a teacher like this for my first Calculus course in high school. She was brilliant and engaging and taught us the reasons behind doing things... instead of just "do them because I say so". To this day she is the reason I enjoy mathematics and get excited about learning new facets of the science. I credit her with my SAT Math jumping over 100 points inside of a single semester. The right teacher is something you just can't put a price on. Bravo, man!

    • @cdmcfall
      @cdmcfall 2 года назад

      Learning the logic is critical. Kudos to your teacher.

  • @tombirkland
    @tombirkland Год назад +40

    I love watching this teacher's lectures. And while I am not much of a mathematician, this was both crystal clear and mind blowing. So cool.

  • @alpineclimb4081
    @alpineclimb4081 3 года назад +265

    Einstein's right when he said, "If you can't explain it simply, you don't understand it well enough". Some people cover how shallow their understanding is by throwing jargons in class.

    • @othmanouahabi4250
      @othmanouahabi4250 Год назад +1

      You notice how Einstein's is becoming Jesus exponentially?

    • @JesusPlsSaveMe
      @JesusPlsSaveMe 3 месяца назад

      ​@@othmanouahabi4250
      To everyone in this chat, Jesus is calling you today. Come to him, repent from your sins, bear his cross and live the victorious life

  • @zeddash
    @zeddash 9 лет назад +4402

    5:10 whoever said 365.25 - I like you

    • @Ynoxxx
      @Ynoxxx 9 лет назад +56

      +FinnShack Leapyear?

    • @zeddash
      @zeddash 9 лет назад +343

      Ynox Yeah, average year length

    • @ubererhs2898
      @ubererhs2898 8 лет назад +492

      well 365.25 isnt exactly correct either. a year is about 365.2425 days

    • @zeddash
      @zeddash 8 лет назад +387

      UbererSK Close enough for a quick answer;

    • @MmMmMonsterkill1
      @MmMmMonsterkill1 8 лет назад +28

      +Fin Koya 365.2422, that's what i memorized xD

  • @Krystaltho
    @Krystaltho 8 лет назад +486

    I'm in my differential equations class and I never knew where e came from. I wish my teachers in high school taught me this.

    • @MusicILike-cy4et
      @MusicILike-cy4et 8 лет назад +20

      Drake Aure Read the chapter on exponential functions in Spivak, Calculus. It gives a rigorous definition. Then read from a complex analysis that extends e to complex numbers and reveals a relationship between pi, e, the pure imaginary number i, 1, and 0.

    • @jmiquelmb
      @jmiquelmb 8 лет назад +5

      There are some videos on youtube that help you visualize and better understand Euler's identity [e^(pi*i)+1=0], if they are of your interest

    • @JensenPlaysMC
      @JensenPlaysMC 6 лет назад

      you were studying calculis before you were taught what e was?

    • @alessandrosala5272
      @alessandrosala5272 5 лет назад +1

      Me too, I'm in 12th grade, we are doing limits and functions analysis and I ALWAYS wondered where that number came from, I asked my teacher but she couldn't explain. You can also find it in physics like in capacitors formulas etc, very very interesting and odd number

    • @jasonchandler2754
      @jasonchandler2754 5 лет назад +2

      @@JensenPlaysMC He said he was using it in diff equations before he knew where it came from, not before he knew about it.

  • @chocolatechocochoco
    @chocolatechocochoco 9 лет назад +3481

    hey, who's your math teacher ?
    -It's Eddie
    yeah but Eddie who ?
    -yes
    ...
    anyways great teacher

  • @CosmopolitanXMan
    @CosmopolitanXMan 5 лет назад +17

    Great explanation. Just want to add that the key principle here is *compound interests* and letting _the interests generated earlier to produce higher results_ , e.g. generate interest after one semester rather than one year, generate monthly instead of semesterly, etc. This allows the principal itself to grow as the base for the next interest calculation. E.g. after 1 semester 50% (0.5) interest generates a result of (principal 1 + interest 50%) and then this result combined immediately generates a new interest; "the clock starts ticking" immediately the next day after one semester, no need to wait until one year (read: increasing the value of n). This compound interests on smaller timeframes (increased n) are resulting in dynamic base values, therefore the growth becomes *exponential: the growth is given on previous growth* .

  • @essp4922
    @essp4922 2 года назад +46

    I remember learning that pesky limit as a formula and always wondering why it was e. This is eye-opening. I suppose this is what a mathematical epiphany feels like; it's an incredible feeling!!

    • @JesusPlsSaveMe
      @JesusPlsSaveMe 3 месяца назад

      To everyone in this chat, Jesus is calling you today. Come to him, repent from your sins, bear his cross and live the victorious life

  • @Prashik_ft11
    @Prashik_ft11 6 лет назад +1243

    4:36
    Some guy: it's 2.2......
    Girl:Shut up!!

    • @GR0907
      @GR0907 5 лет назад +12

      😂😂😂

    • @spyrex3988
      @spyrex3988 5 лет назад +53

      Nah dood i bet that's a Rachel

    • @asknorway
      @asknorway 4 года назад +19

      And they wonder why math isn't popular..

    • @tylermerlin8320
      @tylermerlin8320 4 года назад +13

      I almost shouted 225 at my phone. It's fun

    • @Phantom_Kraken
      @Phantom_Kraken 4 года назад +16

      Every math class has “that student”

  • @CarlosEduardo-xv3vi
    @CarlosEduardo-xv3vi 6 лет назад +30

    Sir Eddie Woo, you're just a amazing teacher. I'm brazilian and the professors here don't even get close to your foot. I just want to thank you for the amazing classes or part of it that you upload here on RUclips, I really enjoy them. Keep the excelent work you do, your students are so lucky. I hope someday I can watch one of your classes! Sorry about my English, I'm a little bit rusty.

  • @1BrknHrtdRomeo
    @1BrknHrtdRomeo 8 лет назад +243

    I'm not completely hating on my high school experience...but Goddammit, I wouldn't have been such a math delinquent if I had someone like you for a teacher! Your teaching method is utterly brilliant and engaging. All teachers should be like this.

    • @matiascabral1502
      @matiascabral1502 8 лет назад +19

      JayGatzVFXsk8r pay close attention, this method is extremely dependant on the students' intrinsic motivation rather than only the teacher... if done right, the results are far greater than the regular methods though.

    • @tldoesntlikebread
      @tldoesntlikebread 6 лет назад +6

      True in that it not only depends on the teacher but the students. My education system is like it begins to turn people into worker drones so the curiosity that could arise in maths classes barely exists. I wish I had passionate teachers

    • @areejimranahmed7042
      @areejimranahmed7042 5 лет назад

      I already teacher like him

    • @faithlesshound5621
      @faithlesshound5621 5 лет назад +3

      @@matiascabral1502 You're right, this method might not work at 3 pm on a Friday afternoon.

    • @matiascabral1502
      @matiascabral1502 5 лет назад

      @@faithlesshound5621 Indeed, once the subject loses priority status, that's it.

  • @vgernyc
    @vgernyc 5 лет назад +353

    Eddie: "It's a number that exists in reality just like Pi does."
    Student: Surprised Pikachu Face

    • @manwork6545
      @manwork6545 3 года назад +1

      Unfortunately that's not true. I'm sorry but these numbers doesn't exist!

    • @lovegarbage
      @lovegarbage 3 года назад

      He said that because he doesn't really know either.

    • @CircuitrinosOfficial
      @CircuitrinosOfficial 3 года назад +3

      @@manwork6545 Yes it does, it's how radioactive material decays.

    • @scarmackd1498
      @scarmackd1498 3 года назад +3

      @@manwork6545 define what you mean by not existing.
      I can measure my weight, say, to the nearest 100th of a pound. However, my exact weight is an irrational number that's decimal places stretches on to infinity, just like pi or e.
      Does that mean that the exact value of my weight doesn't exist?

    • @kotzenderkeks61
      @kotzenderkeks61 3 года назад

      @@scarmackd1498 yes

  • @jalwerdt85
    @jalwerdt85 4 года назад +17

    This lecture was absolutely engaging. You have an amazing talent. Thank you!

  • @alfonshomac
    @alfonshomac 9 лет назад +956

    "you and your feeble units of measurement!"

  • @avi12
    @avi12 6 лет назад +23

    This is why RUclips is an amazing platform - allows teachers like this one to teach in such a fun and engaging way

  • @vinayseth1114
    @vinayseth1114 9 лет назад +88

    Wow- the best explanation I've come across- wish you were there to teach me in school! :D. Thanks a ton ! :)

  • @aleefbilal6211
    @aleefbilal6211 Год назад +2

    I just don't have words. Beautifully explained. I just watched 8 mint video and didn't even got bored, that how amazingly it is taught. May ALLAH bless him and me with this type of teaching method. Ameen.

  • @nitinraj5372
    @nitinraj5372 5 лет назад +26

    He teaches his student the most basic thing which are never taught in a school and school make student an intelligent donkey..... Huge respect for him

  • @DukeLaCrosse20
    @DukeLaCrosse20 9 лет назад +582

    eMail is the growth of the number of mail messages I have after a year of spam.

  • @HanSolo-dh4rn
    @HanSolo-dh4rn 9 лет назад +97

    This guy is actually a really great teacher, actually shows some enthusiasm in his work.

    • @McVidsAndTutorials
      @McVidsAndTutorials 8 лет назад +4

      he seems very enthusiastic. He is an awesome teacher.

  • @letoiiatreides2466
    @letoiiatreides2466 8 лет назад +66

    You are an excellent teacher!

  • @panchitomontero9051
    @panchitomontero9051 4 года назад +1

    There's something about this math instructor that makes complex number concepts easy to understand. I'm getting back to learning all that I didn't in the past. Kudos to the instructor!

  • @ayeshaalhamed2185
    @ayeshaalhamed2185 Месяц назад

    One of the best teachers on the internet. Your students must know they are lucky to have someone like you teach them.

  • @KaranPatel-nu7fp
    @KaranPatel-nu7fp 8 лет назад +9

    I am Engineering Graduate . and All i can say is , I wanted you badly while those mathematics classes that i had during my childhood !! Still , It's never too late. Starting my Education once again ! Thanks a lot .

  • @lidarman2
    @lidarman2 7 лет назад +67

    Eddie, I have a graduate degree in physics but I still enjoy your videos because you have an insight I have never experienced in all my years of education and experience.

  • @andyxaero5396
    @andyxaero5396 8 лет назад +29

    you sir are an amazing teacher ! .... respect

  • @jatinbhatia4954
    @jatinbhatia4954 4 года назад +2

    Hello! I love your teaching style! I am an Engineering Post Graduate, I don't watch your videos to learn the concept but to witness the sheer brilliance of how you deliver the concept and i am always left wondering how much effort goes in preparing for each lecture. keep up the good work sir.

  • @TheFlyingSquirrel630
    @TheFlyingSquirrel630 2 месяца назад

    2.5 years of using e, and nobody has ever explained it to me, this guy just did it in 8 minutes and it made so much sense, bravo man!

  • @NothingMaster
    @NothingMaster 9 лет назад +5

    Great Teacher!He gave them the best intuitive answer possible.

  • @timothysantama4102
    @timothysantama4102 2 года назад +4

    A fun yet intelligent teacher always brings any sort of materials into comfort to embrace the students' thought

  • @al3ksejkramaric
    @al3ksejkramaric 8 лет назад +261

    at the end someone's mind was blown "woooaaah" ^^

    • @kleps6463
      @kleps6463 8 лет назад +15

      Lol that was most hilarious part of the video for me as well.

    • @crookeddesk
      @crookeddesk 6 лет назад +6

      Had to scroll too far down to find this lmao

    • @hans_____
      @hans_____ 5 лет назад +1

      waAaAaA

  • @UbiMortus
    @UbiMortus Год назад

    I can't believe I am 39 and watching this, getting entertained AND getting more educated at the same time. Kudos.

  • @vaughanbbrean71
    @vaughanbbrean71 Год назад

    Just found e on my calculator and wondered why it has the value 2.718......... You explained beautifully and I am inspired to recap what I once new and move on EXCELLENT thanks!!!

  • @Greg-iu6ys
    @Greg-iu6ys 2 года назад +4

    How my life, school reality, and my feelings towards math would be different if i met more people like yourself during my educational path. What you doing is just amazing.

  • @BPsen1
    @BPsen1 5 лет назад +9

    I really enjoy this kind of videos. I do love maths because, back in the years, I had a teacher who gave me this passion. If all the teachers could be like Eddie , I think students wouldn't see maths as a boring thing anymore

  • @gordonwalter4293
    @gordonwalter4293 Год назад +3

    Eddie's enthusiasm is great but his examples are crisp and clear to a degree that makes him truly a fantastic University physics teacher.

  • @akshitahuja5279
    @akshitahuja5279 5 лет назад +1

    My father is a great mathematics teacher but He is on another level. Just love to listen the concepts and still feel like a kid after even completing the graduation. Love from India

  • @rajnirani7772
    @rajnirani7772 3 года назад +1

    Sir you are amazing. No one ever explained to me the real meaning of e ever. I wish to be in ur class one day.

  • @davidkuitunen6684
    @davidkuitunen6684 8 лет назад +1628

    This guy needs to start working for khanacademy.org Thumbs up if you agree.

    • @irockrock44
      @irockrock44 8 лет назад +33

      I vote for Khalid as well from betterexplained.com

    • @collin9143
      @collin9143 5 лет назад +107

      I think khan academy should be working for Eddie instead

    • @veretxnerd983
      @veretxnerd983 5 лет назад +1

      Lol ok

    • @timothykimari8154
      @timothykimari8154 5 лет назад +6

      @@collin9143 true

    • @johncanes5686
      @johncanes5686 5 лет назад +22

      @@zeidkazi3402 you misunderstood. He's not forcing eddie. He's just suggesting he should work for Khan academy because he would greatly benefit everyone's education

  • @brendonbarratt7551
    @brendonbarratt7551 8 лет назад +5

    That was so brilliant. Building up the concept from simple beginnings.

  • @hereonly2comment
    @hereonly2comment 3 года назад +2

    I laughed way too hard when he said “this is interesting” because it is literally interest-ing

    • @MarekDz60
      @MarekDz60 3 года назад

      Exactly. Interesting but not correct :) :)

  • @pentapandamusic
    @pentapandamusic 4 года назад +1

    I like your passion, your energy and your charisma, please run for president 2020 thank you!

  • @franciskm4144
    @franciskm4144 4 года назад

    Excellent, I taught 40 years, now I realised how easy it is to prove the value of e

  • @reazrahman1850
    @reazrahman1850 7 лет назад +22

    Unfortunately this guys video will only get few hundred thousands views, while perhaps it's most amazing, useful and beautiful video ever for ones knowledge.

    • @patrickpettyjr.2487
      @patrickpettyjr.2487 5 лет назад +1

      While stupid bullshit gets millions of views...

    • @marktr2731
      @marktr2731 3 года назад

      As of right now, it is about "e" million, so.....exponential growth my friend

  • @kieran.stafford
    @kieran.stafford 8 лет назад +4

    Brilliant Eddie. You are a born communicator.

  • @joshuamichaelrico7365
    @joshuamichaelrico7365 2 года назад +2

    “Bro what did I miss out while I was gone?”
    “Yeah we started a new unit, and…”
    “And? What.”
    “It’s complicated”

  • @ericgelders
    @ericgelders 3 года назад

    Inspirational, authentic and unfazed in the face of funny remarks - brilliant teacher!

  • @marlonscott160
    @marlonscott160 5 лет назад

    This is the best explanation of Euler's number I've ever heard. Mr Woo, I will take your lesson's forward in my engineering life. Thank you.

  • @TitoSilversax
    @TitoSilversax 8 лет назад +37

    I didn't want this video to end...

  • @semiawesomatic6064
    @semiawesomatic6064 6 лет назад +11

    "You and your feeble units of measure" new favorite qoute.

  • @sagetarus1
    @sagetarus1 3 года назад +10

    Him: "How about every minute"
    Me: **breaks out in a song about love**

  • @ShaheenHaider-nb9fc
    @ShaheenHaider-nb9fc 7 месяцев назад +1

    now this is giving me energy.....I don't know why I feel so energetic and like nothing is as it is everything has a purpose and meaning behind it.

  • @ricsanders69
    @ricsanders69 3 года назад

    Fantastic...the best description of e that I've gotten so far...and I'm in my 50's and have had maths...up to college Calculus III. Thank you!

  • @ToadSmasher
    @ToadSmasher 3 года назад +18

    This is the kind of man i want to be when i’m an adult.

  • @neetishraj
    @neetishraj 6 лет назад +5

    Everyday I am having my eureka moments just because I watch your videos, and I am a computer science graduate with good background in mathematics. I studied all my life to pass the exams, I feel so terrible right now. I ended up being a well trained student and not well educated. Looks to me like I ll be going back to my books and I will read them with fresh perspective with a free and broad mind and asking why this why that at every point.
    Thank You Mr. Eddie Woo, I am so glad you got selected in worlds top 10 best teachers for 2018

  • @musictest9999
    @musictest9999 8 лет назад +1297

    i could watch this guy teach maths all day

  • @goununo
    @goununo 2 года назад +5

    Thanks!!!! You made me smile at math e little more.

  • @abhiarya149
    @abhiarya149 Месяц назад

    The best teacher I have seen across RUclips.

  • @theeligator8728
    @theeligator8728 9 месяцев назад

    i can not thank you enough, but really you are the best teacher. Mostly teachers here are trying to prove students that they are dumb but look at this awesome teacher who proves e instead of downgrading his students thank you man thank you again...

  • @captainvice69
    @captainvice69 8 лет назад +22

    I wish you were my maths teacher.

  • @Volvoman90
    @Volvoman90 4 года назад +4

    6:46 - That infinity symbol was glorious.

  • @jbel7510
    @jbel7510 4 года назад +118

    1:10 "the larger a population gets, the faster it can grow" - watching this amidst 2020 coronavirus pandemic 😂

    • @glennkim1020
      @glennkim1020 4 года назад +6

      "you and your feeble units of measurement!"

    • @vanshbharadwaj9829
      @vanshbharadwaj9829 3 года назад +1

      @@antonpap5540 Shut you mortal, you and your feeble units of measurement does matter

    • @quaffie
      @quaffie 3 года назад +1

      watching this in the first world amidst feminism

    • @soerika2964
      @soerika2964 3 года назад

      watching "things decay when they decay in relation to their own size"

    • @joemarshall4226
      @joemarshall4226 3 года назад

      The larger a lie is, the faster it will grow.

  • @loutran2654
    @loutran2654 3 года назад +1

    Eddie you are a marvellous teacher. I actually came first in 4 unit Maths in 1976 in NSW. The way that you explained the number e was so good. I was very impressed .

  • @cinedeconfinamiento6148
    @cinedeconfinamiento6148 3 года назад +1

    I quit math when I was 14 due to a bad teacher and chose a branch of studies that didn’t include math because of that. One of the greatest regrets of my life. I so wish I had a teacher anywhere near Eddie. Superb didactics! His pupils have a treasure in him

  • @seyamrahman1002
    @seyamrahman1002 4 года назад +12

    Title: what is the number ‘e’
    Me: I thought ‘e’ was a letter

  • @thethakuri
    @thethakuri 9 лет назад +19

    e = lim n -> INF (1 + 1/n)^n

    • @Herosmurf
      @Herosmurf 9 лет назад

      +thethakuri that inf should be a sup as it's increasing

  • @chandramouliraula6263
    @chandramouliraula6263 8 лет назад +11

    I wish you were my math teacher in school.

  • @fiercegamer7732
    @fiercegamer7732 2 года назад

    I didnt have much intrest in math but now I watch his video and go to school and ask those questions to my teachers, at one point they were frustrated at my instant growth in asking of so much questions but its sometimes fun flexing your knowledge on your fellas. Thanks for giving me the knowledge now maths is my A+ grade subject!

  • @rupelfc
    @rupelfc 4 года назад +1

    I love the way you explain this concept. I have an engineering degree and never thought about this kind of stuff, but the way you explained it makes so much sense

  • @lolaplolap1
    @lolaplolap1 8 лет назад +11

    By using formula,
    A= P(1+r)^n
    If P=1. // $1 in the bank
    A=(1+r)^n
    Bank calculates by minutes in a year. r= 1/the time period so r=1/(365x24x60)
    n=time period.
    so, A=(1+(1/(365x24x60))^(365x24x60) = e^1 = 2.71828

    • @lolaplolap1
      @lolaplolap1 8 лет назад +2

      It's something. *jumps up meme

  • @RyanJensenEE
    @RyanJensenEE 9 лет назад +15

    I want to be as good a lecturer as this guy.
    It is going to take some practice to get there.

  • @anthonysilva5312
    @anthonysilva5312 5 лет назад +5

    This is my second favourite lesson.... with Newton’s law of cooling being my first.
    Too bad many non-math administration would dismiss this as “too lecture-like”.

  • @charlesajones77
    @charlesajones77 5 лет назад +1

    This is the best explanation of "e" I've ever heard. I WISH my high school and college professors had explained it this well.

    • @High_Priest_Jonko
      @High_Priest_Jonko 5 лет назад

      This is a very common explanation, you can find it in virtually any elementary algebra text

  • @shihabmunshi8920
    @shihabmunshi8920 4 месяца назад +1

    Thanks for making those enormous things free, be with you more than 2 years😊❤

  • @dolphin8773
    @dolphin8773 5 лет назад +39

    4:31 "holy shit" :D

  • @dozog
    @dozog 5 лет назад +3

    This may appear very clear now, until they realise that banks do not effectively give you 'e' dollars at the end of the year if your savings account has an interest rate of 100%.
    They still give you 2 dollars.

  • @youtubegoogle4163
    @youtubegoogle4163 3 года назад +3

    Please please please explain the 'e' in complex numbers.
    I just want the easy proof of
    e^(ix) = cos(x) + i sin(x)

    • @ezzaddin9351
      @ezzaddin9351 3 года назад

      very easy proof

    • @youtubegoogle4163
      @youtubegoogle4163 3 года назад

      @@ezzaddin9351
      Please provide the link to the proof video.
      It would be a great help !

    • @ezzaddin9351
      @ezzaddin9351 3 года назад +1

      @@youtubegoogle4163 I was joking, Im pretty sure there is no "easy" real proof for this that doesn't involve bunch of infinite series and calculus. But if you are okay with that here are a couple videos proving it ruclips.net/video/w04dhu3LOOA/видео.html , ruclips.net/video/ZxYOEwM6Wbk/видео.html , ruclips.net/video/N3Xxj4xNjIo/видео.html , Good luck with your mathematical endeavors!

    • @youtubegoogle4163
      @youtubegoogle4163 3 года назад +1

      @@ezzaddin9351
      The third video gave me a really really easy proof !
      ruclips.net/video/N3Xxj4xNjIo/видео.html
      A Great thanks to you bro !
      I don't know why, but It is really hard to find things like this on RUclips.
      It required me around 3 years to get to some great Engineering RUclips Channels.

  • @JohnMushitu
    @JohnMushitu 2 года назад +1

    I finally understand what Euler was going for. Thank you

  • @LuckyGlue
    @LuckyGlue 4 года назад

    Never seen such a easily understandable teacher

  • @seventynine9885
    @seventynine9885 4 года назад +3

    4:37, *Some one coughs*
    Me: Why are you not worried?

  • @markostepic8584
    @markostepic8584 8 лет назад +44

    4:30 holy shit XD
    Just like Captain America would say: Language! :P

    • @nenokhan2041
      @nenokhan2041 6 лет назад +1

      See that in 4:41 someone said shut up two times after that person said holy shit! XD!!!!!!!!!!

  • @hujake5406
    @hujake5406 8 лет назад +6

    god, My teacher don't even explain the meaning of e, he just skip it.

    • @carultch
      @carultch 3 года назад

      You could form a celebrity name pun out of your name, and call yourself "Hu Jakeman".

  • @geoffreyreeks2422
    @geoffreyreeks2422 4 года назад

    What a great teacher!
    Regards,
    Geoff. Reeks
    Part Time Technical College Teacher

  • @fedethefico
    @fedethefico 4 года назад

    Such a great teacher, with such a loud and undeserving classroom.

  • @chrisc.4144
    @chrisc.4144 5 лет назад +42

    It simply blows my mind that mathematics and nature are basically two sides of the same coin. It’s freaky.

    • @MappingFreak
      @MappingFreak 5 лет назад +7

      Maths was created to explain nature

    • @AK47_414
      @AK47_414 5 лет назад +2

      Maths was created from nature

  • @MrMohneesh
    @MrMohneesh 8 лет назад +4

    after so many years now I know what e is!!

  • @andrewsebayjf
    @andrewsebayjf 9 лет назад +4

    Spectacular Speech, Bravo sir, Bravo.

  • @dcamron46
    @dcamron46 2 года назад

    You can tell these young kids are super under appreciative and inexperienced to know how valuable this guy’s instruction is. It’s really funny and makes the video even more enjoyable 😂

  • @JohnLincolnUSA
    @JohnLincolnUSA 3 года назад

    I love maths..I love working out problems ..but Mr, Woo is from a different dimension and a true joy to watch!