How To Solve Any Problem

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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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15 май 2024

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Комментарии : 100

@amydebuitleir 16 дней назад

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.

@KorlinAng-bs7rh 16 дней назад

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

@bartroberts1514 День назад

The book that would have changed my life for the better, at every point in my life since I picked up my first book.

@alevyts3523 16 дней назад

I have déjà vu. Matrix failure. I think I've seen this video on this channel before.

@mostafaahmed9441 12 дней назад

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

@Zendogg702 16 дней назад

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 16 дней назад

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 15 дней назад

That’s interesting. Could you share the book title and author? There’s a lot of books with the title Suicidology.

@jps6734 15 дней назад

I’m going to write this comment down in my book where I write things down that I think are true.

@feydarkin6567 15 дней назад

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 14 дней назад

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

@FlatEarthMath 16 дней назад

Decades ago, an old Ukranian math teacher colleague of mine recommended that book, and I got it. Excellent!

@lmj06 16 дней назад

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 :)

@zeed54 16 дней назад

signed by Polya Himself...this is insane man

@douglasstrother6584 16 дней назад

It looks like a First Edition, too!

@robertveith6383 15 дней назад

Polya was not an insane man. Do you know why I wrote that? Your sentence is wrong. Correction: This is insane, man!

@zeed54 15 дней назад

@@robertveith6383 😂

@walterfristoe4643 6 дней назад

I have this book on my shelf! I'm glad to see that I'm not the only one who appreciates it! 🤓

@panindrapathak4018 14 часов назад

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

@blumu4170 16 дней назад

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.

@g1rhines 3 дня назад

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.

@arpandasthecoder9352 16 дней назад

This is something I need Thank you a lot

@stephenstrong4211 9 дней назад

You have been reintroducing me to my library! Thank you

@antisocialshelley2326 16 дней назад

Thank you so much for your resourceful information. I really enjoy your channel and knowledge.

@fosres 15 дней назад

Great advice for a great book! Thanks!

@Splatterpunk_OldNewYork 15 дней назад

Thank you for doing what you do.

@timeslices7923 15 дней назад

900k subscribers! Congratulations! 1M coming up!

@YeshuaIsTheTruth День назад

Danny Davito, I love your work.

@umbraemilitos 15 дней назад

Reupload? I bought this book at this channel's recommendation, and really appreciated it.

@MichiganPeatMoss 16 дней назад

Great basics! I recall a few memorable instuctors (meaning patient and kinder) in high-school and college classes (and some not so memorable). ;)

@nanami-773 15 дней назад

The book is popular in Japan and was reprinted in 2022.

@henryloisdavilaandrade6247 16 дней назад

Un increíble libro además esta autografiado, ¿que más se puede pedir? Tremenda joya en tu colección, saludos!

@mallninja9805 16 дней назад

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.

@mthomas8946 16 дней назад

Bought this book a while ago. Have had a hard time getting into it. Probably should give it another go.

@rahulsubramanian6545 16 дней назад

Thanks for the video.

@TheMathSorcerer 16 дней назад

You are welcome!

@jeanmarievianneyniyitegeka9452 12 дней назад

Thank you Sir.

@charlessmyth 16 дней назад

Good to be reminded of the problem of a book I obtained 22-months ago and have yet to open :-)

@dinesh4april 16 дней назад

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

@chelstonthomas1127 14 дней назад

I bought this book 9 years ago, thanks for reminding me.

@allybally0021 День назад

Super book!!

@madamatom432 16 дней назад

Love your Videos ❤️.

@TheMathSorcerer 16 дней назад

Thank you so much!

@KevinBalch-dt8ot 16 дней назад

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.

@rezamarzban5562 13 дней назад

Thanks.

@PlasmaCoolantLeak 13 дней назад

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.

@robertjr8205 15 дней назад

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!

@CodyBunker 16 дней назад

Do you have any books that deal with things like reflexivity?

@Opensourceman 14 дней назад

You've inspired me to study calculus 2 just for fun, seeing as my degree program isn't offering it

@Santiago-dr6uo 15 дней назад

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?

@nagarjunav7610 16 дней назад

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 15 дней назад

I'm not the person you're asking but give this book a try - Calculus made easy by Silvanus Phillips Thompson

@nagarjunav7610 13 дней назад

Sure thank you!

@micmaci9343 16 дней назад

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.

@arnavthapa-qq1uz 16 дней назад

The James Stewart's Algebra And Trigonometry books have an excerpt from this

@bernardhughes8598 16 дней назад

This book was on the recommended reading list before I started university in 1972. I still have it.

@truelly7958 13 дней назад

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 12 дней назад

@@truelly7958 I will keep my copy. But on ebay uk there is an even older copy for £3.99 from londonbridgebooks.

@guidofeliz8384 7 дней назад

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.

@fontende 12 дней назад

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.

@BB-bx4dp 7 дней назад

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

@medielijah 16 дней назад

@3:00 People aren't logical. Maths IS a system of logic. 😂

@FreshBeatles 16 дней назад

can it help with relationship problems

@rashedulkabir6227 16 дней назад

Romantic relationship?

@waasx 16 дней назад

, 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

@douglasstrother6584 16 дней назад

Signed First Edition!

@pitarmurari2989 16 дней назад

❤

@biquinary 15 дней назад

I got 99 problems, but a problem with my significant other ain't one

@clarisse3417 16 дней назад

This book has a difficult language? I think not exist a portuguese edition, and my English is not advanced)

@WayneDrake-uk1gg 14 дней назад

I keep expecting Arnold's bodybuilding encyclopedia or Sam Fussel's Confessions to pop up on one of these show & tell presentations 😂😂

@tristan583 11 дней назад

And he died at 97 years old, what a G

@YeshuaIsTheTruth День назад

I see what you did there

@hussainlemonwala7358 16 дней назад

I am reading this book right now.

@evansnyamesah1755 16 дней назад

You 🐐

@ninoengel7869 13 дней назад

Okay so how can I fix my relationship problems with this?

@spotyboy9722 16 дней назад

man, I'm bad at math, where would you go to build a career if you were a humanities major?

@user-mu7ub2pz9s 16 дней назад

Hey Math Sorcerer l want to be a math topper like G Polya

@thiagovieira9377 16 дней назад

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...

@thesimplicitylifestyle Час назад

Get Machine Learning Algorithms on it! 😎🤖

@concertautist4474 15 дней назад

Making a decision with so many unknowns does not a healthy mind make.

@guidofeliz8384 7 дней назад

Any problem???

@briangunn21 2 дня назад

I'll solve it

@user-bf3pc2qd9s 4 часа назад

Ohhhhhh these comments are bringing back logbook-based trauma... "Calculus Made Easy" made me laugh out loud. Passed, though heh heh.

@bincyelizabeth19799 16 дней назад

Watching from Kerala India 🇮🇳 Bincy Elizabeth Mathew

@TheCosmicGuy0111 16 дней назад

Oooo

@casperdermetaphysiker 16 дней назад

ANY problem?

@user-ky5dy5hl4d 6 дней назад

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.

@MinasLuci-sh4uh 15 дней назад

@SinergiasHolisticas 12 дней назад

I Got it....But Did not work...kkkk..as Kurt Godel...Said in 1931 "There allways infinity non countable unsolvebled Problemes"

@Number6_ 16 дней назад

If you can't use math and logic to solve real problems, why are you even here? Is it to become a psydo intellectual? Just playing around? Or hiding from society?

@rashedulkabir6227 16 дней назад

Logic will help you to solve real problems, but you will have to work hard to solve those problems.

@Alfie1970Waterhouse 15 дней назад

Pseudo intellectual. Just saying. Irony.

@science_bear 15 дней назад

I think he's saying it'll work for some real world problems better than others. Will it help an engineer design a circuit board, a building, or a truck? Yeah Will it help a relationship therapist fix a damaged marriage? Maybe not as helpful as psychological tools.

@Number6_ 15 дней назад

@@science_bear tools? Tricks? Psychology can do 2 things. It can show you that the problem you have is not really a problem at all, or convince you to accept and live with the problem. Relationship problems are emotional problems. Different from psychosis. Not all problems have a solution. You will learn that from math.

@user-ob2zz2zk2x 16 дней назад

Thank you But the author neglected to solve the most important dilemma in his life, which is that he, like many others, does not know the purpose of life and why we are here If he or you professor reads the Holy Qur’an impartially, he will find the satisfactory and more than sufficient answer that satisfies the mind and comforts the heart

@technic1285 16 дней назад

The meaning of life is to struggle in the pursuit of the realization of a worthy ideal. I'm not joining your cult.

@robertveith6383 15 дней назад

Your irrelevant post of a religion and indoctrination are inappropriate for this forum. Your post is being reported as spam.

@psikeyhackr6914 16 дней назад

Try this one. It stimps ChatGPT. The basement levels of the Twin Towers were quite extensive, comprising six underground levels. These levels extended down approximately 70 feet (21 meters) below street level. The area covered by the basement levels spanned the entire footprint of each tower, which was about 208 feet by 208 feet (63.4 meters by 63.4 meters), encompassing a total area of around 1.75 million square feet (approximately 162,580 square meters) for both towers. These levels housed mechanical equipment, parking, storage, and access to the PATH train station. "To determine the remaining space in the basement levels after accounting for the concrete, let's first calculate the total volume of the basement levels and then subtract the volume of concrete used. 1. **Total Volume of Basement Levels**: - Each tower's footprint: 208 feet x 208 feet - Depth: 70 feet - Total footprint area for one tower: 208 feet * 208 feet = 43,264 square feet - Total volume for one tower: 43,264 square feet * 70 feet = 3,028,480 cubic feet - Total volume for both towers: 3,028,480 cubic feet * 2 = 6,056,960 cubic feet 2. **Volume of Concrete Used in Basement Levels**: - 225,000 cubic yards of concrete were used in the basement levels of both towers. - Converting cubic yards to cubic feet: 225,000 cubic yards * 27 cubic feet per cubic yard = 6,075,000 cubic feet 3. **Remaining Space**: - Total volume of basement levels: 6,056,960 cubic feet - Volume of concrete used: 6,075,000 cubic feet Interestingly, *the calculated volume of concrete exceeds the total volume of the basement levels.* This discrepancy suggests an overestimate or misunderstanding of the volumes involved. For a more accurate figure, the volume of concrete used should be confirmed against reliable engineering records or documentation. In practical terms, some of the concrete would have been used in structural columns, walls, and other areas, which may not account for the entire volume calculation. Therefore, a more precise assessment would require detailed architectural and engineering data.“ - *ChatGPT* How can a computer figure this out Two Decades later? Just ask the right questions.