How To Solve Any Problem
In this video we will go over 4 steps that you can follow to solve any problem. This is explained in the book How To Solve It written by the mathematician George Polya.
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Пікірлер: 163
I recommend this book 1000%, not just to maths students, but to anyone working in computer science or any scientific/analytical field. A major problem with the education system is that the student knows that the problems they are assigned include all the necessary information and can be solved with the techniques they have been taught. Real world and research problems aren't like that. The techniques described in this book can help with real world problems as well as homework.
@tonyjames1980
20 күн бұрын
thank you
Wow, signed by George Polya. I had read this book over 40 years, repeatedly. I gave a number of copies of this book to my students. nice
@ulysses_grant
21 күн бұрын
Is this book also suitable for people who aren't very good at math?
@KorlinAng-bs7rh
21 күн бұрын
@@ulysses_grant I don't think so. I taught highly talented math students.
@ulysses_grant
21 күн бұрын
@@KorlinAng-bs7rh Ok, thank you so much for your reply!
Decades ago, an old Ukranian math teacher colleague of mine recommended that book, and I got it. Excellent!
Hey Math Sorcerer. I just wanted to thank you for helping me. I have just completed my first term of university as a physics/mathematics double major. I dont come from a strong math background (i had never learnt the quadratic equation before my summer break, where i studied from basic algebra to integral calculus), but your videos were the inspiration i needed to keep working hard, even after failure. In my current holidays, I decided to take 2 of your courses, 1 on set theory proofs, and the functions proofs course, and they really helped me, as proof writing is something that i had never been exposed to before university, and now i understand it so much better. The plan was to do those 2 courses over 3 weeks, but i finished them both in 4 days, so I am now taking your integration insanity course, which is really helping me with integration. Thank you for everything you have done, keep up the amazing work, you have helped me and i assume so many more :)
I think problems in life are easier than they often seem. It’s just that oftentimes we don’t like or don’t want the simplest solutions. Opinion, feelings, desires, preferences come to interfere with the solutions in life.
@feydarkin6567
Ай бұрын
There is a great book called Suicidology that goes over a specific set of patients and how they reasoned themselfs into suicide. One that stcks out is a girl who inadvertantly got pregnant. She excluded talking to her parents first, it was the simplest to do so she thought of it first but that meant excluding it first. Then she excluded a secret abortion, then having the baby in secret and giving it up for adoption. In the end there were just two options left, traveling back in time and not having sex or committing suicide. Since the first was impossible only suicide remained. I think this is a perfect example of how we exclude the simple solutions first because they are unpalatable, just to later choose way worse options.
@sodiepop7576
Ай бұрын
That’s interesting. Could you share the book title and author? There’s a lot of books with the title Suicidology.
@jps6734
Ай бұрын
I’m going to write this comment down in my book where I write things down that I think are true.
@feydarkin6567
Ай бұрын
It was probably "The suicidal mind" by Shneidman. It is close to 10 years since I read it so I might have confused the premise with other writings or my own thoughts though..
@WayneDrake-uk1gg
Ай бұрын
A pattern I've noticed in myself and a few other former math students is absolute obsessive concentration to find increasingly clever solutions to WELL DEFINED clear cut problems, but utter recklessness in messy and bewildering matters such as the "game of life" (IRL life, not the Conway simulation thing). One such buddy of mine recently turned up dead of an OD in a Columbus OH dope house, and this despite an MA from Queensland with original research
I found a copy of this on a bookshelf in a used bookstore. Bought it out of curiosity. Holy Cow. What comes to mind is Sir Andrew Wiles solving of Fermat's Last Theorem.
As I've started going serious into math and have started taking harder classes and going deeper into the subject, these problems get very hard, so I decided to improve my thinking and you dropped this video at the perfect time.
The book that would have changed my life for the better, at every point in my life since I picked up my first book.
@peterufrancess9344
16 күн бұрын
Do you have some other similar type of books recommendation like this book?
If you collect math books, I have one for you. Precalculus by David Cohen Edition 3. It is one of the most mathematical precalculus book written by the late David Cohen.
@benkelly9295
2 күн бұрын
I would hope it is one of the most mathematical precalculus books written by David cohen if it’s called precalculus by David cohen. How many can there be?😂
I have déjà vu. Matrix failure. I think I've seen this video on this channel before.
@mostafaahmed9441
Ай бұрын
I thought the same but apparently he has another video named 4 steps to solve any problem that he talked about this book sorry for the disappointment
@manamimnm
20 күн бұрын
That was a Russian book translated by Mir Publishing to solve physical problems
@ikvangalen6101
20 күн бұрын
Did I already do my de ja vu joke?
@joseramonperezdelriogarcia9089
15 күн бұрын
Was deja vu heissen soll?
@rickh3714
2 күн бұрын
My clairvoyance joke will fail to be understood by tomorrow's audience. 😑😑😑😑😑 😂
This is something I need Thank you a lot
You've inspired me to study calculus 2 just for fun, seeing as my degree program isn't offering it
I am surprised to see the 4 steps and strategies how to solve math problem is what I am teaching to my students. Since I never read and come across this book
The book is popular in Japan and was reprinted in 2022.
This is a great book, and his textbook, Induction and Analogy in Mathematics, is also a great book on creative problem solving just in a more mathematically rigorous fashion.
I have this book on my shelf! I'm glad to see that I'm not the only one who appreciates it! 🤓
Back in the day I did real actual technical support for mission critical systems. We had to actually figure out what was going wrong & fix it, not just "reboot & hope it goes away" .This book reminds me of that.
@ahnana833
4 күн бұрын
I am doing technical support for mission critical systems right now! Lol😅
Thank you so much for your resourceful information. I really enjoy your channel and knowledge.
Thank you for doing what you do.
You have been reintroducing me to my library! Thank you
signed by Polya Himself...this is insane man
@douglasstrother6584
Ай бұрын
It looks like a First Edition, too!
@robertveith6383
Ай бұрын
Polya was not an insane man. Do you know why I wrote that? Your sentence is wrong. Correction: This is insane, man!
@zeed54
Ай бұрын
@@robertveith6383 😂
@therealTopG6
4 күн бұрын
And he said it's the 5th edition the book is from 1945.
I’m buying this book. Started reading it and applying the techniques. It helped me solve a problem so I can buy it with confidence. Thank you for the recommendation. I love your book reviews.
Was reading about algorithms and data structures, stumbled upon the word "heuristics" and here i am. That book looks very interesting.
Wow I am very interested in this book. Not only will it make me a better student but it will also make me a better teacher. Thank you professor for showing me this book.
900k subscribers! Congratulations! 1M coming up!
This book was on the recommended reading list before I started university in 1972. I still have it.
@truelly7958
Ай бұрын
Any chance i could buy it from you? I would love to own old edition of this book but Im having a hard time finding where to buy one
@bernardhughes8598
Ай бұрын
@@truelly7958 I will keep my copy. But on ebay uk there is an even older copy for £3.99 from londonbridgebooks.
Great basics! I recall a few memorable instuctors (meaning patient and kinder) in high-school and college classes (and some not so memorable). ;)
Bought this book a while ago. Have had a hard time getting into it. Probably should give it another go.
Great advice for a great book! Thanks!
Reupload? I bought this book at this channel's recommendation, and really appreciated it.
better than most self-help videos out there!
Thank you Sir.
Feynman's universal method: 1. Write down the problem. 2. Think hard. 3. Write down the solution.
Good to be reminded of the problem of a book I obtained 22-months ago and have yet to open :-)
Un increíble libro además esta autografiado, ¿que más se puede pedir? Tremenda joya en tu colección, saludos!
The PDSA (Plan Do Study Act) learning cycle, it crops up everywhere. In this case APDS, because we are responding to a problem. ACT to understand and respond to the problem, PLAN a work flow and implementation solution, DO your solution, STUDY the results of your solution for better work flow or implementation.
I bought this book 9 years ago, thanks for reminding me.
Danny Davito, I love your work.
I like to add or relax constraints on the solution to get “a” solution and then consider the results would apply to the original problem. In this way you can bound a solution and maybe eliminate the need to find an explicit solution.
Thanks.
The important thing isn't if you can read the music, it's can you hear it. Can you hear the music Robert?
Hi Math Sorcerer..I fin your videos very inspiring and motivating...I bought the book of proofs that you suggested, but I think it has lesser content than the one u showed in your video.. would really appreciate if u could guide how to tackle trigonometry. Thanks.. Sanvie
Love your Videos ❤️.
@TheMathSorcerer
Ай бұрын
Thank you so much!
Hey math sorcerer ! I have a question, how would you take notes on a Discrete Math book? I plan on reviewing as much as possible for the next 8 months and wanted to see if you can offer tips and advice on the most efficient way? I don’t want to find myself writing every single thing down haha. Thanks!
OK, I'll check it out.
Super book!!
@3:00 People aren't logical. Maths IS a system of logic. 😂
Problem is a problem for me... the word itself translates to good, bad, or good ugly
That is so cool!
Thanks
@TheMathSorcerer
20 күн бұрын
thank you!
Do you have any books that deal with things like reflexivity?
Wow. I read that when I graduate from undergrad. In sociology. I was missing math. LOL. Polya. That's my boy!!!
I'd listen to you reading any book for hours
Quick question: From your video on studying math you use blank sheet of papers. But for the many years you have been studying, how do you store all of those papers?
Nice
Thanks for the video.
@TheMathSorcerer
Ай бұрын
You are welcome!
Interesting
I feel like if this book worked even 10% as well as it claims, even if just limited to helping students solve math problems, everyone would know about it and read it
The James Stewart's Algebra And Trigonometry books have an excerpt from this
i'm not interested in math, but this applicable to any problem today which very easy research by Internet, in 1940s till 2000s to research problems by such guide you must be a scientist to get access to information without Internet, so live in libraries or archives.
In my case the chaos is a problem. I got unsistematized knoladge, and can't focus on one topic at the time, but I'm working on it. Maybe it's sign of ourl modern world - brains need always new impuls to strike dopamine. Maybe some video about chaos theory and relative books ?? Apl. 4 my mistakes in grammar.
my problem is that I can't evaluate solutions very well, like I come up with a plan but I don't see that I did it the stupidly hard way, like if I was designing a fridge I'd get distracted trying to make it only need to work when it wasn't winter outside.
5:10 He should have made mnemonics for the questions for each step
I keep expecting Arnold's bodybuilding encyclopedia or Sam Fussel's Confessions to pop up on one of these show & tell presentations 😂😂
Feed back loop🎉🎉🎉🎉🎉🎉🎉
I got 99 problems, but a problem with my significant other ain't one
Hello sir, I have been watching some of your videos.... it's really good! I really liked math before undergrad.... but Calculus was a tough nut to swallow. I had a lot of problem understanding (visualize mainly) on how it works.... by the time i understood something, the class was way ahead and started to lose interest.... Can you please recommend any advise or a practical book which can help us understand the concept of calculus in real life, day-to-day objects we see or events which occur? This will help us to understand this abstract subject through tangible reality. Thank you once again!!
@Jugnu3754
Ай бұрын
I'm not the person you're asking but give this book a try - Calculus made easy by Silvanus Phillips Thompson
@nagarjunav7610
Ай бұрын
Sure thank you!
, hello math sorcerer can make a video on increasing focus to not make siily mistakes and think intuitively and I am 1st one to comment
can someone clarify the term "condition" for me? in this context, it seems to carry a specific meaning different from what i would usually associate with the word? at least in relation to the concept of a "problem" ?
Is no one going to mention the fact that chapters are named in alphabetical order?
Is this a rerun?
Signed First Edition!
This book is the Bibble to me for my whole life. Literaly.
❤
I'm still stuck wondering about the simplest of things. How my senses work each different part of my senses and how they interact with one another. How does smell sight and sound effect touch taste and feel.
can it help with relationship problems
@rashedulkabir6227
Ай бұрын
Romantic relationship?
❤❤❤
Hence the term AI. Since they don't have emotional approach to problems unlike humans, they tend to provide straight forward solutions rather analysing through the lens of ego, anger, despair or sadness. Seems we blur out the very essence of logic and reasoning.
77
Hey Math Sorcerer l want to be a math topper like G Polya
This book has a difficult language? I think not exist a portuguese edition, and my English is not advanced)
And he died at 97 years old, what a G
@YeshuaIsTheTruth
26 күн бұрын
I see what you did there
Okay so how can I fix my relationship problems with this?
man, I'm bad at math, where would you go to build a career if you were a humanities major?
You 🐐
What is the goal of learning all the math in our life?
I am reading this book right now.
And wicked Problems?
Any problem???
@briangunn21
27 күн бұрын
I'll solve it
ANY problem?
Making a decision with so many unknowns does not a healthy mind make.
I want to solve my problem that is how to solve my problem that is how to solve my problem that is how to solve my problem that is how to solve my problem...
Earth NOT a spinning ball lost in a vacuum
I gotta stop watching your videos and go and do math.
I would love to see the chapter titled common sense 😭😂
For step 1, what if the problem is something I am not smart enough to understand?
@omnijack
7 күн бұрын
He mentions his own example of getting help from a more-knowledgeable person. So, get help when you need it.
Get Machine Learning Algorithms on it! 😎🤖
I don't understand all of it.
So just answering mathematical questions. That's hardly providing solutions to any problem. What if my problem is psychological or political or existential?
@davejacob5208
9 сағат бұрын
you did not watch the video, apparently.
You can understand the problem and still not solve it. You may not understand it and solve it by some fluke. One may solve a problem by methods never used.The problem may not be solvable and one cannot assume that it is. A problem may have more than one solution and one finds only one of them. A problem may have a solution at infinity of it. A problem is put wrongly. Or there is no problem at all with the problem. OK guys! No problem.