MORE MATH PROOF TECHNIQUES + OVER 10,000 SUBSCRIBERS! THANK YOU!

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  • เผยแพร่เมื่อ 31 ม.ค. 2025

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  • @citytutoring
    @citytutoring  13 ชั่วโมงที่ผ่านมา +3

    For the reference about Jim Acosta, this was the video on January 20th when I randomly mentioned Jim Acosta as an example of a fool and it turns out he ended up resigning (no, obviously no relation but just a happy coincidence!) Young people don't fall for these pseudo-reporters like Acosta. All they want is to push an entirely antichristian and alien narrative to make you a serf of the government. Be free, be discerning! th-cam.com/video/v2Ig2l3WTvE/w-d-xo.html

  • @crix_h3eadshotgg992
    @crix_h3eadshotgg992 7 ชั่วโมงที่ผ่านมา +3

    Man this feels like I sneakily snuck into an ancient Royal Society of Science meeting and am taking in the High Knowledge. 10/10, love it.

  • @callmeowen
    @callmeowen วันที่ผ่านมา +14

    Congratulations on 10,000 subscribers! Your forthright reflections on modern society and encouragement of greatness has brought me to your channel, and I believe it will bring thousands more. God-willing, may the modern citizen no longer be so banal in mathematics, and in their approach towards knowledge.

  • @douglasstrother6584
    @douglasstrother6584 9 ชั่วโมงที่ผ่านมา +4

    The Seven Liberal Arts & Sciences:
    The Trivium - Grammar, Logic & Rhetoric.
    The Quadrivium - Arithmetic, Geometry, Music & Astronomy.
    The Four Cardinal Virtues: Temprence, Fortitude, Prudence & Justice.

  • @user-fv7xm1cu7r
    @user-fv7xm1cu7r 6 ชั่วโมงที่ผ่านมา

    CONGRATULATIONS need more professors like you in our society. I appreciate your work sir. Thank you.

  • @nemolai7989
    @nemolai7989 8 ชั่วโมงที่ผ่านมา +1

    Congratulations sir on 10k! In a sense, I wouldn’t be surprised if you got 100k subscribers. TH-cam needs more mathematicians like you, most of the people posting math these days are fairly young, not saying that they’re bad mathematicians in anyway, but they see math differently and describes their perspectives differently.
    I hope you are able to continue sharing your opinions as well as lessons in the future. I find them very valuable

  • @vixguy
    @vixguy วันที่ผ่านมา +4

    good lessons for beginners !

  • @ben_g_min
    @ben_g_min 21 ชั่วโมงที่ผ่านมา +2

    You deserve it! Your no nonsense attitude towards maths education is a breath of fresh air. I quite like the format of the videos also, not just jumping straight into the topic but leading into it with an interesting preface or anecdote, really quite a relaxing way to get into the video. Keep it up! 🎉

  • @stellar3111
    @stellar3111 วันที่ผ่านมา +1

    Congratulations! You and your channel have truly inspired me to take my mathematics seriously after years of childish neglect. It became brutely obvious to me just how behind the curve I had fallen whilst watching your video titled "HONORS" ALGEBRA STUDENT FAILS A BASIC ALGEBRA TEST." I, being a "honors algebra" student myself who was also frankly unable to solve much of the material in that test, really resonated with your message. You've made me see the absolute necessity as a young-man to become well rounded through my own vigor and how avoiding such an integral and universal subject as mathematics is truly unwise and truly childish. I too wish to contribute to the revival of American excellence and I wish to thank you for pushing me and many others back on the right path through your logic and reason. You're a real inspiration, not these false idols American culture loves to put on a pedestal, I wish you and your channel success. This is the type of content men need in this country not pseudo-masculine icons such as Andrew Tate. May God bless you and your family! 🙏🙏

    • @citytutoring
      @citytutoring  วันที่ผ่านมา +3

      Thank you very much for your kind message! I can already tell by the way you write that you have the right attitude of mind and a discerning attitude. May I ask what state you are in? As for Andrew Tate, I completely agree. It's a shame that men like him are held up (in some quarters) as an example to young men. Mr. Tate is nothing more than a peddler of dime-store wisdom and pseudo-masculine snake oil, hawking his wares to the intellectually impoverished. There is nothing to emulate or admire in Andrew Tate. The revival of American greatness will come not from the gutter of the internet or the trashy pop culture idols we’ve been force-fed, but from those who are willing to be steadfast in their pursuit of real knowledge and virtue.

    • @stellar3111
      @stellar3111 วันที่ผ่านมา

      ​@@citytutoring I too appreciate the kind words! I'll continue doing my best to align my actions to this attitude through academic rigor, it's only the beginning! Lovely analysis of Mr. Tate might I add, haha. I hail from the great state of Florida! Soon to studying in-state at Stetson University once I graduate from High School later this year. Although that is very dependent on whether I find their methodology acceptable once I'm actually on campus and into the weeds. The faculty at the very least seem to value academic rigor, though I can't help but question some of the more liberal agendas they seem to push amongst the students. I will do my best to steer clear of that crowd as you've made that a clear necessity for growth. I take college to be a tool in my arsenal, unfortunately not something worthily of idolatry in the modern age besides those few elite institutes of which unfortunately weren't in the running for my attendance. That is completely due to my own lack of discipline coming back to haunt me though. My principles from god, my knowledge from man I guess is a nice way to put it and how I see you preach it. Let us embark steadfast in the pursuit of greatness through knowledge and virtue! I do hope to attend a lecture of yours one day or at the very least shake your hand and thank you for the inspiring work.

  • @KICKOFF_VISION
    @KICKOFF_VISION 22 ชั่วโมงที่ผ่านมา +4

    Congrats Professor, may God bless you with many more subscribers. As a high schooler who has struggled a lot with math, and hated it. Im starting to love math after watching your videos. Thank you for motivating me to become a better student.

  • @JuanManuelPlaceres
    @JuanManuelPlaceres วันที่ผ่านมา +5

    You deserve every bit of success that this project has achieved. Please continue helping us students to succeed academically! Wish you the best.

  • @Amx-xv6ef
    @Amx-xv6ef 13 ชั่วโมงที่ผ่านมา +2

    congrats for this incredible milestone! I hope many more people will find your channel. I belive what is special about this channel is telling the truth, you being rational, and very
    gentlemanly. I also think that this traditional point of view is what are people seeking for in this world of relativism and irrational modernity. You really stand out and you do a great job. Greetings from Poland professor!

  • @hydraim9833
    @hydraim9833 7 ชั่วโมงที่ผ่านมา

    Always dressed well when making a video, it's a sign of respect towards his viewers. Big up from Montreal!

  • @janwormuth9739
    @janwormuth9739 วันที่ผ่านมา +4

    Congratulations! You are a hero and a math whisperer🥰

  • @hades8537
    @hades8537 วันที่ผ่านมา +3

    Congratulations. Your videos never fail to amaze me.

  • @davida715
    @davida715 11 ชั่วโมงที่ผ่านมา +2

    very nice blend of math, beautiful timeless principles, and decency

  • @EngMohammedAlmalki
    @EngMohammedAlmalki วันที่ผ่านมา +3

    Congrats man, having a channel with a big amount of people or subscribers means you are loved and have high-quality videos spicily on TH-cam, it is not an easy platform to have a big channel on.
    so thanks you are doing great content.

  • @alldayumday2660
    @alldayumday2660 วันที่ผ่านมา +4

    On the bit about epsilon-delta proofs:
    I really thank you for showing that the proof only has to progress only once it's done. Rudin does not show this method, and so I would often literally cry and rage at these problems, trying to understand how the intuition is gleaned. Spivak shows this method of finding the correct delta, and this is truly one of the "tricks" worth knowing, I would say.

  • @alldayumday2660
    @alldayumday2660 วันที่ผ่านมา +1

    Incredible stuff. A great mentor of mine, a high school math teacher, would always say at times like this, after you've gotten a big win and celebrated for a short time, "Alright, now back to the action." I always think about that. Getting back to work.

  • @Yallquietendown
    @Yallquietendown วันที่ผ่านมา +3

    Congratulations sir ! I also appreciate your channel because it is raw material too. There are no editing tricks and special effects. I also appreciate you standing up for our faith and honoring our Lord Jesus Christ may the Lord bless your efforts 🙏🏻☦️

    • @citytutoring
      @citytutoring  วันที่ผ่านมา +1

      Thank you! If you ever see "special effects" on this channel, you'll know I for sure died and went to meet my Creator. God bless you as well, fellow Christian!

  • @Ester17684
    @Ester17684 วันที่ผ่านมา +3

    This month has been great!

  • @patriciatrejo3998
    @patriciatrejo3998 10 ชั่วโมงที่ผ่านมา +1

    I and fellow 10,000+ subscribes uphold the importance of truth, christianity, and values that matter. We do not care about being controversial we stand FIRM in our beliefs.

  • @guendelma6
    @guendelma6 23 ชั่วโมงที่ผ่านมา +1

    Congratulations! I love your videos and insights and I wish I got this quality of education in my own school. Keep it up.

  • @ww-ue7nj
    @ww-ue7nj วันที่ผ่านมา +2

    Sir, what you say is valuable, and the people here know that. I have no doubt you'll continue to be successful on this platform.

  • @RichGillin
    @RichGillin 22 ชั่วโมงที่ผ่านมา +1

    Very Well Done, Prof. We all started as Tech-No-Bodies. I appreciate your sets , backgrounds , your consistent guise adding gravitas to the channel's main topic. Your voice, thoughts, presentation on the subject of maths will be long for this world. [we do need to improve your audio for more engagement with the listeners/learners] { I am making a point to read the transcripts of your content posted}

  • @victorlc.vabeiryusa7458
    @victorlc.vabeiryusa7458 12 ชั่วโมงที่ผ่านมา

    You're legit sir you've gained my subscription I'm from India by the way

  • @vanessaford8630
    @vanessaford8630 วันที่ผ่านมา +2

    Congratulations on your 10 000 + subscriber's

  • @amirsaeed7759
    @amirsaeed7759 14 ชั่วโมงที่ผ่านมา +1

    Congratulations. I knew from the start that your channel would grow. Not surprised at all. Just a suggestion: if you could include more math/physics book reviews as well would be fantastic.

  • @DMITRIISHADRIN-p2h
    @DMITRIISHADRIN-p2h 14 นาทีที่ผ่านมา

    It was nice to see the use of epsilon-delta language to demonstrate statements with quantifiers. Some calculus textbooks don't contain rigorous definitions of limits for sequences and functions, thus these books have only hand-waving arguments for theorems instead of actual proofs. And that is the case when they write at least something to prove the theorem, sometimes they just state it without justification.

  • @JR-uc3nk
    @JR-uc3nk 10 ชั่วโมงที่ผ่านมา

    And you're already almost at 11k!

  • @iandadsanan543
    @iandadsanan543 16 ชั่วโมงที่ผ่านมา

    🎉🎉🎉🎉🎉

  • @ahmedmohamedelabed1092
    @ahmedmohamedelabed1092 วันที่ผ่านมา +4

    I truly believe that we as a civilization are declining, and all of that is to due fast content consumption and it's affects on the brain , I think that more awareness should be drawn to that kind of matter and how it is indirectly and severely affecting every country in the world. I also completely agree with you saying in one of your videos that when you surrender discipline, you lack the foundation in which you mainly build your character on, and discipline is something hard to do, unfortunately tutors and teachers keep telling you that you should be disciplined but they actually don't go into the roots and details of how you should be disciplined ,I am really looking forward to you making maybe a video or two on how to study mathematics properly and how to actually be disciplined in your line of work

  • @coldboyvic
    @coldboyvic วันที่ผ่านมา

    Your videos are awesome and inspiring!

    • @citytutoring
      @citytutoring  วันที่ผ่านมา +1

      Thank you very much for your kind comment! I wish you well!

  • @PrimordialOracleOfManyWorlds
    @PrimordialOracleOfManyWorlds วันที่ผ่านมา

    congratz on the 1o,000! nice to see tautologies being used.

  • @LegendSkyShock
    @LegendSkyShock วันที่ผ่านมา

    Amazing achievement. Congratulations. Look forward to future videos.

  • @mad3ub_
    @mad3ub_ 23 ชั่วโมงที่ผ่านมา

    Congratulations dude on 10,000 subs! I like your videos because besides being educational , they're also not brainrot edited. Clean , simple and basic style which is really hard to find nowadays.

  • @liosha
    @liosha วันที่ผ่านมา +2

    Hey, I'm currently taking the A-level math syllabus and find your videos very entertaining. Could you please perhaps explain the proof by contradiction that there are infinite number of prime numbers, etc.
    Thank you for reading.

    • @citytutoring
      @citytutoring  วันที่ผ่านมา +5

      Thank you! Yes, so in the next video I am preparing, we shall discuss the proof by contradiction tactic, and I will use your question as one of the examples. I will write down your question so I can remember to mention it as an example.

  • @jimsmith1549
    @jimsmith1549 วันที่ผ่านมา +1

    I truly enjoy your style and your proofs. Just an added note: I'd become accustomed to often "interpreting in English" the "backward lower case epsilon" as "such that".

  • @AmanKumar-jk1qu
    @AmanKumar-jk1qu วันที่ผ่านมา

    Sir can you please bring a video on how to create strong mathematical base so that one day we could compete in mathematical olampiad, I always love watching your videos 🙏

  • @dismaleclipse5587
    @dismaleclipse5587 12 ชั่วโมงที่ผ่านมา

  • @-ahmedhaitham
    @-ahmedhaitham วันที่ผ่านมา

    Congratulations, from Egypt!

  • @NumaHippie
    @NumaHippie วันที่ผ่านมา

    thumbs up lesson!

  • @Y1512.
    @Y1512. วันที่ผ่านมา +1

    Hello, sir. I just have a quick question. I know it might be out of topic, but I would love to hear your opinion. Would you say self-teaching myself university-like math from textbooks is a good way to strengthen my overall logic/thinking skills significantly in the real world outside of math? Thanks!

  • @hareeshreddy23
    @hareeshreddy23 วันที่ผ่านมา

    Congratulations

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 วันที่ผ่านมา +1

    Wonderful video! I would highly recommend checking out Book of Proof by Richard Hammack on different proof writing techniques. Another good book I am currently studying is How to Prove it by Daniel Velleman.

  • @crispywings9066
    @crispywings9066 วันที่ผ่านมา

    Hello,
    I hope you are doing well. I am interested in studying online and was wondering if that would be possible, as I live in Australia and am unable to attend in person.
    Thank you for your time, and I look forward to your response.

    • @citytutoring
      @citytutoring  วันที่ผ่านมา

      Of course! We have online options. Please email City Tutoring for information at: info@citytutoringmath.com

    • @crispywings9066
      @crispywings9066 15 ชั่วโมงที่ผ่านมา

      @citytutoring Ah, thank you. I will explore this further once I have secured sufficient funds for the math courses. I sincerely appreciate your help.

  • @nesarks3630
    @nesarks3630 17 ชั่วโมงที่ผ่านมา

    Sir, a personal question. Do you smoke? If yes filtered or not filtered ?

    • @citytutoring
      @citytutoring  16 ชั่วโมงที่ผ่านมา

      No, I do not smoke. Many, many years ago, I'd smoke unfiltered, but I realized that smoking tobacco is just another vice that separates the human from God. So, thankfully, I quit that many years ago too.

    • @Sigmacreature
      @Sigmacreature 10 ชั่วโมงที่ผ่านมา

      ​@@citytutoringdoes it happen in a nightfall or something gentlemen

  • @douglasstrother6584
    @douglasstrother6584 9 ชั่วโมงที่ผ่านมา +2

    > 10^5 Subscribers!!

  • @LeiZayden
    @LeiZayden 17 ชั่วโมงที่ผ่านมา

    Do you live in London? or another city in the UK?

    • @citytutoring
      @citytutoring  16 ชั่วโมงที่ผ่านมา +1

      No. I studied for my Masters degree in Pure Mathematics in London, though. However, I live in beautiful Lynchburg, Virginia, USA.

  • @evan1466
    @evan1466 วันที่ผ่านมา

    Almost fell out my seat when he said “GOOD AFTERNOON EVERYONE”

  • @ahmadmohamad8416
    @ahmadmohamad8416 วันที่ผ่านมา +1

    can you stop including religion in your talk if you want this channel to have various followers

    • @RichGillin
      @RichGillin 22 ชั่วโมงที่ผ่านมา

      good point....depending on your origins on this Internet. It is difficult to left brain/right brain focus with secular/non-secular subjects, don't you think?

    • @zero5898
      @zero5898 22 ชั่วโมงที่ผ่านมา

      you are free to leave my friend

    • @ahmadmohamad8416
      @ahmadmohamad8416 21 ชั่วโมงที่ผ่านมา

      @ I know that Iam free to leave, but it doesn't make sense that he is talking about math proofs and how math is very consistent through time and at the same time sharing his personal believe that has nothing to do with math or science, they are just tails , that is all iam saying, it doesnt make any sense and he is contradicting himself

    • @ayoubrayanemesbah8845
      @ayoubrayanemesbah8845 19 ชั่วโมงที่ผ่านมา +2

      As a Muslim I would say the opposite , the only thing you should take into consideration when speaking about religion is respect , personally I don't have problem if he speaks about religion , we don't want people to be hypocrite just to gain some, followers, as Jesus peace and prayer be upon him said , seek the truth and the truth shall free -guid- you

    • @zero5898
      @zero5898 14 ชั่วโมงที่ผ่านมา

      @@ahmadmohamad8416 math and science are humans attempting to understand God's creation

  • @markolazar2149
    @markolazar2149 11 ชั่วโมงที่ผ่านมา

    Get a grip old timer.