@@noJobProgrammer I frequently switch between dark mode and light mode, and so my main color for writing on my iPad is a nice dark blue, and my color for comments and marks is a reddish pink. This is so they show up nicely in both modes, and have good contrast so the marks stand out. 😅😅
your video where you talk about "you can get up to date within 2 weeks no matter how hard the course is" really motivated me to give 100% everyday man!
"To use mathematics effectively in applications, you need not just knowledge but skill. Skill can only be obtained through practice.", Mary Boas in "To The Student" of her "Mathematical Methods in the Physical Sciences".
@@Larrym-rz5bk Second edition, Prof. George Gaspari, UC Santa Cruz 1984. He would give lectures only with a box of chalk and a pack of smokes (It was a 2-hour class.) and would answer questions on the spot.
@kyleemberg8505 Yup. The memories you form by doing things are an entirely different kind from the ones you form by watching things. Aristotle said, "You are what you repeatedly do." He didn't know the half of it. In a small way, doing things repeatedly actually changes who you are.
My son is completing his doctorate in cello performance. One of his early teachers was a phenomenal player from Poland. His take was to be a great cello player you had to practice 6-8 hours a day. My son does indeed practice at least 4. What does this have to do with learning mathematics? Like anything in life, actually doing the work is required to obtain mastery.
I see the thumbnail, read the title and immediately have this quote in my mind, I know that is gonna come up in the video, so before clicking on it, I repeat the quote several times loudly, even though I don't even know where I got it from, I just knew it instantly. also worked on math problems for 10 hours today, sometimes I'm a little bit slow, but I think the time is worth it. Keep it up.
Programmers know this intuitively. The only way to learn a new programming language or framework, is hands on. No amount of reading the documentation will help. Documentation is good for reference because it is hard to remember all of this. So you forget most of the material after hands on familiarity but retain the "knack" to look things up and do it again.
I think doing math is a great way to pass the time and better than doing puzzle books like Sudoku which I also like doing. I feel like I learn more from the problems I get wrong than the ones I get right I did 31 math problems last night and have done 10 so far today and there's still a lot of of hours left in this day
@@noJobProgrammerfunny handle name btw especially for JavaScript "programming" that alot of kids call that being a computer programmer, computer systems coordinator in the mid 90s n if u look up that job title it's like 6 different separate jobs wen it was all in a days work if you wanted a job
I'd argue that RU-vid is for visual learners people who learn through videos, and it does help certain people. Certain people need their own pace(which a video provides, a video also provides you to go back and forth, and pause on each step of the math problem). But a video also sometimes simplifies complicated textbooks, personally I think videos are the simplest and easiest form of learning, I think reading a textbook is a lot harder. This also brings me to the teacher, the biggest benefit of a teacher is them being able to interpret the information in a much more simpler way, especially if its challenging to pick up somewhere else where, and them being in a video makes it easy I feel.
Hi sir, I've been self studying mathematics and your videos have been really helpful to me. I've realised that even though I love the subject, I've had trouble with trying to score of it. I'm in my second year of college right now. In distant future, I hope to meet you. Gratitude from India. 🖤
Im very excited to learn more mathematics this summer. Your channel has provided me with so much info on learning and truths of life; thanks for your amazing videos!!!
Thanks for invoking my reading of Ivan Niven's Booklet, where he says early on, that one learns Math by doing Math. At first glance a tautology, by an excellent strategy worth analyzing! I enjoyed Halmos Naive Set Theory and Measure Theory, those were all I could afford during my student days! 👍
Very true for me, there is always a gulf between what I learn from a video and actually doing similar problems. By actually doing it for myself, I bridge the gap.
What are the main difficulties in solving the Riemann Hypothesis? Or, is it unsolvable, something like too many variables with too few equations? Thank you
Which is rather worthless when it gets practical, I remember right wen ww2 ended the US grabbed every engineer that graduated from school n put them in the military
Great vid! Prof. Halmos has been a true inspiration for me. He said" don't just read it.... Fight it!" and that is so true! Do the exercises on your own, try to figure things out, find interesting proofs or counterexamples. I do math daily (foundations like logic, set theory and math proofs from How to Prove it by Daniel Velleman and Book of Proof by Richard Hammack). Absolutely love it when I get to self study math without any deadlines, pressure to study for tests.
Edit: IS and WAS a great read. Paul Erdos was my hero as a teenager n a early 20s maths major n till this day n the traveling suitcase was a great read
If you mean doing the math itself, there's a massive learning curve but it pays off. Your mind needs to think differently to spend a little longer in deciding exactly what to put down, when and how.
@@enriktigasna no like after you learn everything, it takes about a month to be able to do it as quick as writing the math on paper. My handwriting's trash so i made the jump my sophomore year of highschool, and now i write latex faster than i ever wrote on paper
Don't bend; don't water it down; don't try to make it logical; don't edit your own soul according to the fashion. Rather, follow your most intense obsessions mercilessly. Franz Kafka
Also, our brains get better with practice via myelin. With the brain being mostly fat, myelin and fat, much like the plastic around an electrical cord, is an insulator. The more we practice, the more those activated regions get myelinated, and the better we get. Also diet with omega 3's to help support the building of that. Over time, that awesome super quantum computer of ours that only needs about 2 bananas worth of energy daily to run, can do amazing things.
Wait…Sorcerer are you equating “learning” with doing well in your class by doing the class work? Sometimes the contrarian or fellow taking a different approach is learning more. Nash is a good example.
This should be something we’re told in elementary school. You will not learn math unless you solve problems. It’s just a fact. Math is relevant in almost all stem fields. The more mathematically competent humanity is, the better we are for it.
Do you have any videos on the subject of AI and it's relationship to a motivation or lack of motivation to learning math? The reason for my question is that it would appear AI will make Learning math moot at some point. Agree? Disagree?
Greatest pure mathematician of the 20th century was Paul Erdos m btw who has an Erdos number that they would erase for a trillion dollars --- noone ever
why is this ripped wizard in the attic so insightful? i mean, I guess, what did I expect of a ripped wizard in an attic. I suppose all attic dwelling, gym going, math doing wizards are insightful? i dunno, you tell me.
You talk about practice but what if you are just stuck due to lack of explanation by the teacher or book? I feel many students get stuck im loops where they struggle to get out of
So in short, to learn mathematics you need to immerse yourself intellectual in whatever kind of math you're trying to learn. Well decent advice for Sir Math Sorcerer, thank you very much for showing the wannabe mathematician how to learn or get acquainted with the beauty of Mathematics, have a felicitous intellectual journey!
We have chatGPT in 2024….knowing anything like mathematics is useless. I even quit my job as a programmer to become a truck driver because coding is becoming replaced by AI
Regarding to integrals, you all the time perform U sub. I used new concept formulas that shortcut and give up U sub, compare both U sub is calculus garbage.
Another good way to learn is to write a book on the subject matter (just for your own consumption if needs be). I've done this for set theory and logic. Many of the proofs in sources are often skeletal or non existent so it's quite challenging writing complete rigorous proofs.
