How to self study pure math - a step-by-step guide

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Title	:	How to self study pure math - a step-by-step guide
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How do i learn what the crazy looking symbols in math mean? Such as €, £, ≠, ⇒, and those really big S and C mean?
Comment from : forsmanos

Thank you so much for taking the time to present and share this subject matter
Comment from : Ronnie Oates

After watching the complete video, I have no idea what it's about
Comment from : Bozmeister

I too like the book Understanding Analysis very much It was the assigned book when I took “advanced calculus”, and it was perfectbrbrTom Leinster of the University of Edinburgh wrote an excellent book on category theory named Basic Category Theory It’s written clearly and precisely and has good examples and good problems It’s the best first book on the subject, as far as I know It’s also freely available to download from his website
Comment from : Theorems & Dreams

Legend
Comment from : Bari Khan CEng CMarEng

Thanks allot
Comment from : Primary Esthethic Instincts

I understand only train station
Comment from : Arbeits Los

there is a free book by openbook plubisher that is literally a selfstudy guide from zero to hero for math!
Comment from : Diogo Pinheiro

Thx
Comment from : Şəhriyar Cəfər Qulu

if you do need "how study pure math" video you probably too stupid to even start i know after 10years in math area "grad,master and doc" at third world country shit hole
Comment from : Smeagol Karamazov

I literally thought he was making things up when he said “differential geometry” LOL this is coming from someone who graduated from a top business school
Comment from : GG

Si eres ingeniero, considera a las matemáticas sólo como un lenguaje para entender la física No estás obligado a resolver problemas matematicos, ni siquiera fisicos: exige a los matematicos y a los físicos que hagan su trabajo y te den las expresiones físicas y matemáticas que necesitas para implementarlas
Comment from : Richard Makiya

wonderful!
Comment from : Mark Wusinich

Take a bow,Boys🔥🫡
Comment from : Lazarus Xavier

The complex analysis playlist link is no longer available
Comment from : David Roth

I am at 10th grade and i decided to start learning math this year Can someone advice good textbooks,books
Comment from : Sage

What about probability, combinatorics and statistics? What resources would you recommend?
Comment from : Алексей Канаев

thank you
Comment from : ronald jorgensen

Wonderful video Thanks a ton❤❤
Comment from : Santosh Devanallikar

Terrible list These books are written for children who are not serious about mathematics Stick to applied math or some other kiddie stuff like that
Comment from : 139

this is the Key to Successful Life! Life long study not just Math but others that use the math!
Comment from : Lamda3s

I'd like to suggest Robert G Bartle for real analysis, Lars Ahlfors for complex analysis and Hicks for a nice intro to diff'l geometry Hofmann & Kunze is great for linear algebra For me, a decent description of the topic at hand with lots of good, challenging problems is the way to go
Comment from : cuda452

thanks for this excellent breakdown, it's something I have been looking for I'll be watching a lot of these recommended videos
Comment from : 31Sparrow

Very beautiful sweet video hi ji Sir
Comment from : Kailash Singh

Good introduction for the starting topics with consistent related topics in mathematics, I believe that would help to build s good solid foundation for each single concepts to be well-linked Thank you❤❤🎉🎉
Comment from : 味王牛肉面

Thank you very muchbrThe problem for students today is not having enough resources, it's having too many resources - which, if you think about it, is just like not having any resources at allbr When the signal that you are searching for is hidden in a cacaphony of incomprehensible noise, you might as well be deafbrYour insight is extremely valuable
Comment from : wetwingnut

I used to just do a thousand of questions and make tons of mistakes I literally just bash my head on the wall without thinking the consequences So just plain cowboy tactics
Comment from : Leroy Jenkins

Can you please make extensive lists for studying math as a physicists
Comment from : Physics Nexus

hi an excellent self study guide, ever thought of doing one for Mathematical Statistics or AI Mathematics
Comment from : cc

Bruh that is so much math by second year 😭 I majored in eee and we only take up to diff eq, calc 3, and linear alg Math majors are crazy haha
Comment from : Joey

I just can't wrap my head around math, it feels like my brain was not made for it at all No matter how hard I try to understand I just can't find any meaning in itbrand it makes me feel so stupid
Comment from : You

5:58 brIs that cat purring?
Comment from : cqweborduR

i just search up (topic name) math sorcerer and get whatever book he recommends
Comment from : John Von Neumanns Daddy

Not going to do this, but this video is gold for everyone wanting to learn math on their own hella valuable resources Thanks a lot!
Comment from : skulllp

I want to read the book Differential Geometry Please suggest me books that I should read before(Please Note I have already read calculus)
Comment from : VooV Gumari

Not sure why I’m watching this as I’m an anthropologist, but it seems neat I have high respect for anyone who puts in the work to study (whether in a university or on their own) such difficult things Or really anything for that matter
Comment from : Jack

Hello What's the title of the book behind " Self Study"? Thank you
Comment from : ahmed bensedik

Thank you very much How about partial differential equations?
Comment from : ahmed bensedik

Where are abstract algebra, probability theory and number theory? These are important fields in pure mathematics What's wrong with studying determinants in linear algebra presented in the book you are referencing?
Comment from : Alex Markin

What a treasure did I just find?
Comment from : sgtcojonez

Can you suggest resources to learn ODEs and PDEs as well?
Comment from : Gor Chalyan

buen contenido, quizas pueda aprender algo
Comment from : Jose Gonzalez

Is the order the concepts are presented in the video the recommended order of learning these subjects? More specifically can someone tell me the prerequisites of each of these subjects? I can assume Group Theory, Real analysis and Lin alg have no prereqs Point-Set topo, complex analysis, have Real analysis as a prereq I have heard Algebraic Topo and Analytic Number Theory have Complex Analysis as a prereq Also can someone recommend a good Analytic NT book/video series? I have heard of Alex Kontorovich's youtube series but it seems a little advanced
Comment from : Milind C

Following this map, will I learn in any of these books multivariable calculus? If yes, will it be as rigurous as the real analysis book?
Comment from : speedySenu

please dive deeper, show us how you learn(the learning and thinking process, what you think about the content you read, what question will you ask while reading it as so on) for a sub-topic in any book that will help a lot
Comment from : John HHU

Thank you so much for this video !!
Comment from : funfair1618

I will return here when I complete LinAlg by Sheldon Axler and Analysis 1 by Terry Tao!!
Comment from : māngāi

Can you learn complex analysis directly from serge lang without reading any other book on complex analysis
Comment from : Omar Nanaah

Why does every other comment start with "as a []" 😂
Comment from : Rosie Cesareo

There is an argument in the comment section about which is the best introductory and self study book for Calculus Some say Spivak's is the best but it's the worst in terms of being the introductory book on Calculus However, in my opinion Louis Leithold's two book namely Before Calculus & TCWAG are the best introductory and self study book of all timebrLouis Leithold is the GOAT🐐
Comment from : Ahmed Asif

Wish there was a similar outline for Statistics
Comment from : Tara Skywalker

I love when they include numerous examples When I was learning math, the teacher always showed us the easy examples, but would give us the challenging ones Like, I get it, but you can't just show us how to do A, B, and get C, but tell us to do our own problems that require us to get from A to E
Comment from : Rzo139

In your description box at complex analysis Wesleyan University playlist is not working???
Comment from : Hridoy sani

is it possible to make this video any more boring? I don't think so That's why mathematician have that "special reputation"
Comment from : Philipp Kowalski

Bruh, I don't even do mathshowever, i love this video purely because I know I can study pure math if I wanted to, and here are the resources
Comment from : Mishita Nath

How many years would it take to learn half or all of it for an average person 35+ yo?
Comment from : Marian Kitsenko

What should I learn to succeed in statistics ?
Comment from : The Entrepreneur

as a cabbage, i am green
Comment from : Rassta

Totally agree with br@giochiqobava3467 I always hated most of those books "great for self-study" havingexcercises without solutions A tutor at university said: "at some point you're supposed to just know whether solutions are right or wrong" brbrI always thought this was so silly If I knew all the solutions all along - why would I even have to do the excercises? Why can't these smart guys writing the books figure this out?
Comment from : Art Fusion Labs

I know this video has been out for a while but what do you recommend for ODEs?
Comment from : Brian Gronberg

Thank you :)
Comment from : A girl has no name A girl is no one

This is why I wasn't in advanced placement math- brbrI simply can't follow the subject and start daydreaming
Comment from : Whizzie the Wise

Thank you for bringing all this together, true hero! Your voice is wonderfully relaxing too!
Comment from : Julia Machaj

I must add that NPTEL courses, which are delivered by good professors from IIT , NIT , CMI and other fantastic institutes , are also brilliant and knowledgeable source for Pure maths and engineering subjects
Comment from : Keyur Kulkarni

What book you sugest to learn probability
Comment from : Daniel Pulido

I used to be one of the better math/science people I knew at least among my peers However, since graduating high school, all my friends are studying math and science while I study outdoor leadership which is an arts degree and has no required math courses which made me sad However, outside of just going and getting another degree, I didn't have a strong grasp for how best to learn these things Thank-you so much
Comment from : Jobob Miner

독학?
Comment from : 상상

I advise Polidh community Uk Counting up to 50 And dimmminnishing all they wish
Comment from : God Almighty

math is not a pure science
Comment from : Nick Lang

You're so sweet😊😊😊
Comment from : Abrar Zarif

I actually took Tom Leinster's Galois Theory course at Edinburgh — and the way he taught it was phenomenal!
Comment from : Yolkolai

As a derivative of a function at point x1, this is a great video
Comment from : schlong gaming

Any suggestions for integral calculus? I've had some troubles studying it in a class setting
Comment from : john adams

This video and the comments made me realize Math isn't hard in school or in general at all! It's just often rushed with bad/really rough examples with no real world use!
Comment from : Thought Crime

Thank you for recommending the abstract algebra lectures, they're superb Unfortunately I couldn't find the book they use online in an up-to-date edition
Comment from : Piotr Skalski

Differential geometry is not "the study of curved surfaces in higher dimensional space called manifolds"brKudos for making a video on topics you don't understand Bravo
Comment from : Sommerfeld

Olympiad mathematics?
Comment from : MonishRules

This is one of the best videos I've ever seen, thanks a lot
Comment from : Gustavo Zello

Should I start self-learning Linear Algebra as someone entering university? I passed the AP Calc AB Exam but I'm terrified that my knowledge isn't sufficient enough to move onto Calculus 2
Comment from : UndyingILuck

Thank you!
Comment from : Daniel Hasson

I like the video by Daniel Rubin “Math Major Guide” Some great recommendations for all the branches of math found in a math major and his video on books on elliptic curves has recommendations for that topic worth checking out as well Rather than focussing on rigour and abstraction without and motivation, he has a refreshing focus on motivating all the ideas you study, always answering the question of how they (the great mathematicians who discovered/created this branch of math) came up this For example instead of just presenting the finished and complete theory without and motivation, his recommendations focus on understanding why the subject of calculus had to be rewritten in the form of real and complex analysis and what problems that solved
Comment from : Topdog525

Thank you so much! After highschool i choose to take on a psychology career even if I've really loved maths, always promising myself to self-study it but everytime getting lost, this video is a treasure
Comment from : Nick Adel

🤢
Comment from : Shubhan Majumder

This has 11 million views thank God, maybe we'll be okay after all
Comment from : Probability

Hello,I am hoping someone can advice and help me I finally realized math could be fun and interesting for me just before my high school ended Before this, throughout my whole life I saw math as something not so fun subject and only studied just to pass my exams so I do have good grades in maths However, I wasn’t really enjoying when I studied math before Now that I finally found it interesting, I want to self study maths So how should I start? Any advice would be helpful Thank you in advancebr( I don’t really want to major in maths in future, just want to learn maths and enjoy it; something that I never did before)
Comment from : Marjana zz