The Best Way To Self-Study Mathematics

In this video I talk about learning mathematics on your own. There was a very famous mathematician by the name of Paul Halmos who always talked about learning mathematics. In this video I will share some of his views and briefly show you one of his more advanced books.
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Thank you:)

[@javiermd5835]

“The only way to learn mathematics is doing mathematics” That quote lives rent-free in my mind.

[@greenmartian5058]

I love math since childhood but never took it seriously because I thought I was dumb. I realized this year my mind likes math and scanning numbers. And if I understand the author's instructions. I was able to acknowledge the math problems. Another thing is if I can't figure out a problem. I save it in my notes and find other math books or sources to solve the problem later on. The hard part about that is libraries and bookstores are limited in math books. So, I go to 5 libraries to practice math now.

[@Living_for_Him_Alone]

All the best 👍❤️

[@Remorsefullyhumble]

Ever use mathway ?

[@martinhawrylkiewicz2025]

Really love Paul Halmos and his Naive Set Theory book which I'm currently studying. He wrote his autobiography titled I Want to be a Mathematician.....I would advise anyone interested in math to read it. Such a wonderful book about his life and other famous mathematicians.

[@Bostonceltics1369]

I saw Hilbert space and had to jump in, good choice!

[@daniellejdevlin8882]

Good advice. I wish I saw your videos back when I took my math classes because you're very encouraging and my professors were most definitely not. Thanks!

[@joquino73]

Excellent video, thanks.

[@kummer45]

Naive set theory has a solution manual where the implicit problems in the text are solved. Just for people to know. That material exists. Second, Paul Halmos books are top quality in every way. He is a true teacher and a gifted mathematician. I'm glad that you shows his book here. You are providing top standard education to people who haven't heard of such resources. Great content as always.

[@arnoldlafeuillee7489]

Sound advice on learning Mathematics.👍🏼

[@piecesofmathematics]

A very inspiring book is also Paul Halmos‘ I Want to be a Mathematician: An Automathography.

[@ronaldjorgensen6839]

thanks for your persistence

[@user-vt6td9hp3g]

Halmos has a wonderful book on Linear Algebra through problems, much like this.

[@mohammedhassoune4246]

Incredible book Especially the spectra problem

[@richardgray8593]

The advice here lines up with that in the book _Make It Stick,_ about effective study habits.

[@TheMathSorcerer]

Interesting I should look into that book!!!

[@gamoudigamoudi9429]

Math is the language of the universe

[@dakotahoelscher445]

Physics is the language of the universe. Math is the language of possible reality.

[@jamieg2427]

okay i'm pretty sure croatian is the language of the universe.

[@johnsmithsu310]

​​@@jamieg2427 aah heelll naaah 💀💀

[@Maths_3.1415]

@@dakotahoelscher445 and physics is totally dependent on maths :)

[@crxnge4483]

@@Maths_3.1415 what could math achieve without physics? would match even be useful?

[@davidsoto4394]

Please do more videos like this one about problem books like this one.

[@TheMathSorcerer]

Ok I will! Thank you!

[@High_Priest_Jonko]

It can takes me a whole day to read a page or two of some books. There's just so much to think about. You need to write your own math book man, and include solutions. I would so buy that!

[@theflash6487]

That’s a nice book!

[@Roasty420]

Math and MTG coasters? I'm already liking this video :D Where did you get those coasters, I'd love to own some myself.

[@TheMathSorcerer]

I got them for Xmas I love them! I put a link in the description

[@berkepalamutcu9397]

Hey I love your videos. This semester I'm taking a fundemantals of mathematics lecture in computer science class. Could you please suggest me a book with clear definitions as a Cs student thank you :)

[@ronrestaino8182]

I like the REA Problem Solvers. Have you reviewed these books?

[@armandodilan4767]

Love the MTG coasters

[@TheMathSorcerer]

Thank you !!

[@robotdharma]

mind blown. everything I want in one video

[@artyommart]

Sir please make a video about books that open the doors to higher level mathematics.

[@TheMathSorcerer]

great idea, thank you!!

[@krzysztofherdzik1500]

I wish I were that advanced so I could just sit, open this book and attempt to solve some of these problems. Not there yet. Not for a long time probably 😆

[@boogerie]

"Texas Method" i.e. the Moore Method as in R L Moore legendary topologist and instructor at UT-Austin ("Texas") who supervised scores of dissertations and who's method consisting of assigning problems with no set solutions (unlike textbook exercises) and having the class fend for themselves

[@codekillerz5392]

What would a problem with no set solutions look like?

[@oliverturk3068]

what do you think of e-ink tablets for doing math instead of ordinary paper and pencil?

[@osiahpitt1310]

Any good algebra books with lots of problems? Getting deeper into math to eventually flow into physics. Also sharpening the methodical, problem solving and creativity abilities through math is extremely intriguing. Would picking up a discrete math and algebra book be good for improving those skills mentioned above for also getting into programming, if so what would those books be? Thanks!!

[@osiahpitt1310]

“Discrete Mathematics With Applications” seems to be an intriguing one that I’ve seen in your videos. Basically just looking for a really good algebra book to serve as a vehicle to climbing the latter in order to get to “higher mathematics” past calculus. Are there books that sort of cover algebra 1 and 2 so one could then get into geometry, algebra 3 trig, pre calc, calc, etc.? Doing self study and would really prefer a book that was geared towards deep learning rather than passing tests; thanks again!

[@digitulized459]

the blitzer book is pretty good

[@uwuifyingransomware]

I studied with "Introduction to Mathematical Thinking: Problem Solving and Proofs" recently and it does pretty much exactly what the title says. There are lots of problems from many different areas of maths, so the focus is more on the process of learning/doing maths rather than the maths itself. Because it covers a wide range of topics, it gives lots of approaches to proving things, and the skills are clearer than they would be in a book that covers a narrow topic. I studied that immediately after finishing high school maths (which included equivalents of algebra1&2&3, geometry, trig, pre calc and a bit of calc) and it was very approachable. If you haven't studied those topics already, you'd probably want to do that first (though calc isn't necessary in my opinion) using something like Khan Academy.

[@metildajoseph5265]

Greetings Mr.Professor, - Wonderful Textbook to navigate through Pure Mathematics in Scientific World Perspective for Academia. Thanks. Take Care, Professor. With regards, RanjithJoseph (R.J)

[@loden5677]

@TheMathSorcerer In the video you mention that in mathematics you cant just say "I want to learn x so I will buy book about x" because that does not work. Could you please explain why this is not the case in mathematics, and possibly how one can avoid such a situation? Is it a matter of identifying the prerequisite knowledge to begin studying x because otherwise you won't have any idea of what is happening? Or is it something else? Love your vids!

[@TheMathSorcerer]

Yeah I said that because of pre-req knowledge:)

[@TheMathSorcerer]

I mean you might understand some stuff, but some books are way to advanced and you need a lot of background for those books.

[@loden5677]

​@@TheMathSorcerer Okay yes I figured that's what you meant but wanted to double check. I have found I purchase books too early without the required knowledge and I do not understand immediately what is going on HOWEVER after a while of slowly increases my exposure to mathematical concepts / different mathematics I can revisit and all of a sudden some of the seemingly disparate ideas become clearer and I can interpret the book.

[@thomasflanagan]

Any tips for studying multiple subjects at once. I want to become a physicist but it’s really hard finding time to read a physics and math textbook simultaneously.

[@TheMathSorcerer]

Yes I do! Get a timer! It helps so much! I put a link to the one I use in the description of this video. Basically you set it and then just DO IT. You need have the "just do it" mentality. Even 30 minutes is better than 0 minutes. Good luck!!

[@thomasflanagan]

@@TheMathSorcerer thank you so much! I’m going to go study right now! This is the best motivation channel out there :)

[@AJAdkins99]

Do you do youtube full time now?

[@jnss-]

I have a loot of math books but I don't understand anything is my bad or isn't the correct books for me or i need to know something important to understand the books

[@aaf2011]

Hi there, I have a question might be silly but i need an answer. Eventually after learning Math then what?? what are those math equations and formulas that have practical useful in a daily life?? (except arithmetic 😅). because from my view I am as a regular person I see things differently for example I don't have to use Pythagorean equations to calculate things I am not dealing with everyday thus, how can I decid which goes in benefit to me and which doesn't??

[@jhonybraavo]

Let me tell you, they are not useful. You enjoy math for its own sake or you don't enjoy math. Looking for utility is not the best thing when dealing with math. So enjoy it

[@quinnherden]

Hey 👋 That depends on what you're interested in doing, and by extension understanding, about the universe

[@aaf2011]

@quinnherden hello quinn. where r u? please come back. I don't see any videos in your channel. please, if my words went beyond gentle, accept my apology 😥

[@rahulgupta-jw3jv]

Mathematics is the mother of all sciences.

[@rahulgupta-jw3jv]

@shinero first think what I have written then reply

[@comradeedwin1006]

What are the prerequisites for this book?

[@30803080308030803081]

Linear algebra and real analysis

[@sufsanin1917]

Math is a serious subject so making jokes about it is 'mean' and makes you look 'odd' and 'irrational'. It may even create 'divides' among people so everyone will not be in 'union'.

[@rashstuff4846]

❤❤

[@eswyatt]

Math Sorcerer telling me what I need to hear, not what I want to hear. I *hate problem sets. Ugh. But the offset is it's OK to memorize and use formulas, without understanding them. Get through the problems, and "true understanding" will follow.

[@83jbbentley]

Wizard, my wife is supportive of my math pursuits how do win her over to maths?

[@TheMathSorcerer]

Haha it’s tough! I don’t know if you can lol.

[@83jbbentley]

@@TheMathSorcerer she’s an art teacher

[@Ensource]

@@83jbbentley one word. geometry!

[@83jbbentley]

@@Ensource Jack Nicholson yes gif

[@sirknight4981]

@@83jbbentley Probably wouldn't force it if she isn't interested but the comment above me is right. Geometry is everywhere in art. Islamic art, renaissance art (like Da Vinci and Dürer for example), MC Escher as well is pretty famous for his geometrical work. It's everywhere in sculpture and especially architecture as well. I'm not sure of any books that delve into this but I'm happy to hear some recommendations or give any I come across in my research. Best of luck and happy new year!

[@anuragmalik2145]

And there I was thinking I can learn more mathematics by spending less time on problems...

[@rodioni661]

Оставь надежду всяк сюда входящий...

[@az.tek.00]

Mtg reference... 💜☮💙🌐💚👽💛😎🧡🏴‍☠️❤💯💥L337

[@TheMathSorcerer]

hehehe

[@Edo_o_]

Try to be an active reader and get a degree in 5 years...