Learn Mathematics from START to FINISH

[@TheMathSorcerer]

My Courses: www.freemathvids.com/ Bid Math Books: www.ebay.com/str/themathsorcerer

[@nikosaronim]

I feel like my hate of Mathematics was rooted in my lack of a solid foundation. I've been thinking about studying it again and this video definitely helps in guiding me down the right path.

[@ka0t1k1]

Math is a language used to describe the world. If you don't have a lot of experience in the world you won't have anything to apply math to except math itself. When math becomes more practical it can be more interesting to people

[@GulfCoastGrit]

@@ka0t1k1 10000 times this! I had to circle back to many of these subjects as I got older. It wasn't until much later that I realized that math all on it's own was interesting and useful as Jacob states. It's a language or a lens for understanding and describing the world. When you start to understand some of the math behind something like orbital transits or logic of how computers operate, it really does become a lot more fascinating. Not that I fully grasp all of this, but at least this time around I want to!

[@notarussianbot9435]

Imo school ruins a lot of things. Learning is natural and fun, school is often the opposite!

[@davidas5049]

Mathematics^2 = solid foundation

[@JohnJohn-km6fs]

You mean teacher or professor who is unmotivated, poorly paid, socially awkward or plain jerk who went to teach, excuse me heal own psychological issues?

[@kellanfeng]

Math is way more fun when you study yourself, not in school. I feel like school just keeps you in this box and makes maths SO dull

[@TheMathSorcerer]

Yes way more fun

[@arab-muslimah]

Yes, but mathematics at university becomes fun because you research on your own and delve into the foundations of mathematics

[@arab-muslimah]

@Linh Nguyen I mean self-learning I don't know because I find research interesting

[@aloksrivastava9169]

Damn true 🔥🔥

[@ngndnd]

@@arab-muslimah i find learning on my own more fun because i dont have to stress about grades. I can get however many questions wrong and just keep trying until i get it right instead of failing a test then moving on to the next chapter right after. Thats the problem with school, you have to learn everything so fast and if you do not know something then you are out of luck because the teacher is already teaching the next topic.

[@prekshajain1941]

Seriously i m 21 year old and want to restart my schooling in proper way , seriously i want to study math , science and every other subjects from beginning . Subjects are interesting but school makes them only mark oriented. I wish life give me second chance.

[@TheMathSorcerer]

Good luck❤️

[@victor-536]

Same here. I'm an English major but I always hated that I hated mathematics. I want to learn it from the very beginning again, I think it'll help me with thinking more logically, etc.

[@xoxodelphi]

aw i feel you. i'm a ninth grader and i've skipped all of online classes and cheated on tests this year. now, we're going to have school in person so i want to study everything or i'll fail. and i wish you goodluck. and since you're 21 i bet everyone will be easy for you

[@xoxodelphi]

*everything. sorry typo

[@user-fl4ti7ir8e]

happy to help :) contact me:)

[@nakulsprakash1640]

I'm an engineer and i can now see how little I've learnt all through school and college, even thought it always felt a lot. The way we are taught maths, just remembering the formulas not why and what they are, it makes it feel like so much more than it actually is. The feeling of truly understanding a mathematical concept and knowing how and where it is applied is priceless.

[@EmbraceYourJoy]

I live in a developing country in remote farm country. If these books are available electronically, would it be worth purchasing that format?

[@LoneWulf278]

So true! In my school, we were taught some formulas here and there, but only to work out the problems on the worksheets. Then, we moved on the next unit in order to pass the exams. Most of the grades in the class were validated with homework (60%) and it was only a completion grade. 😂 So my math skills really never developed, despite me being able to advance to the next grade. I want to just start the journey all over again because I do believe this is a life skill that improves the way you generally think or rationalize. This video really comes in handy for that.

[@purplecrayon7281]

@@EmbraceYourJoy If electronic textbooks are the only option in your country, then go for it. For me, I find learning using ebooks difficult because I need to flip back and forth between pages, and would prefer hardcopy of a textbook.

[@EmbraceYourJoy]

@@purplecrayon7281 I would prefer the hard copy, but I don't know if sellers will ship to Ghana, West Africa. I have to ask.

[@OVS1406]

@@EmbraceYourJoy No go for physical books rather than online because the satisfaction u get after completing a have and seeing all those pages u did is just wonderfull,which will encourage u to study more

[@martinepstein9826]

"We always want to study what we don't have to study" Oof, guilty.

[@TheMathSorcerer]

I know, always happens!!!!!!!!!!

[@luisramrod9121]

same 😂😂😂

[@integralboi2900]

>history test tomorrow >hmm, lemme study some math

[@scr5051]

eso es cierto

[@drozfarnyline4940]

So true😂👍

[@ifyourespondyourmad.2409]

Math was always the most difficult subject for me in HS, but at the same time it felt more fulfilling when I actually understood it.

[@abdikadirmusi2912]

Interesting this strategies and learning tips is absolutely indispensable for everyone wishing to explore maths again and forever. Thanks dude

[@5driedgrams]

Castro... Nice.

[@YMeDoyElLujazo]

😂😂😂

[@harishb5641]

😂

[@JatPhenshllem]

😂😂

[@zackkarma7760]

Mathematics was always slightly more interesting when i wasnt studying for school

[@TheMathSorcerer]

Yup!

[@arvindarvimass]

Absolutely

[@木日咯没热量乐事]

interestingly, I was always great in mathematics, but I don't have the patience for my math classes, mainly because I live in Brazil and here the private education system is horrible and the public is even worse.

[@brenodonascimentosilva507]

@@木日咯没热量乐事 I agree, the Brazilian educational system is a failure

[@josephanthony1655]

Sooooo agree with YOU 👍

[@HarpKoupenov]

0:33 Discrete Mathematics (beginner friendly) 2:32 Math proofs/abstract Math (good for math majors) 3:36 Pre-Algebra 4:16 College Algebra 4:58 Algebra & Trig (pre-calc) [can skip] 6:01 Calculus 6:55 Calc advanced (needs logic & proof writing) 7:45 differential equations (integrations help) 8:30 Linear Algebra 9:04 Linear Algebra (proof based) 9:29 Mathematical Statistics 9:56 Probability 10:11 Complex Variables 10:45 Real Analysis 11:57 Abstract Algebra [pre-rec Linear algebra] 12:25 Topology 12:42 Combinatorics 13:05 Naive Set Theory 13:27 Functional Analysis 13:43 Graph Theory 14:11 Higher Level math 14:45 Other Books Don’t have to master :)

[@elle4786]

Thanks for the time stamps dude!

[@HarpKoupenov]

@@elle4786 No problem :)

[@hectorsanchez7581]

Thank you

[@user-jp1zr1qw7j]

Does anyone else feel they really want to study when they are older as compared to when In school ?

[@TheMathSorcerer]

👍👍

[@cameronvincent]

It’s because now you have the freedom to choose what to study

[@tblmoon]

@@cameronvincent exactly

[@arinb.9176]

@yymenghis64 well is your dad german?

[@tesscrelli783]

You always want what you can't have~

[@jareddhayle1992]

I am 53 years old and I have decided to start studying again. I had no foundation growing up and lots people trying to and holding me down. Now I have gotten rid of the dead weight, I am going to start over from the beginning and do it right and for myself. I am going to try this method and ideas. The whole concept of teaching yourself is appealing to me. 😁😁😁

[@jaiwildstar1341]

Right on sir!!!

[@marq6325]

It’s nice to learn when you don’t have tests at the end of the day

[@icouldntthinkofanyname522]

aye aye sir...grind on it 💪

[@allthingsforthesoul1886]

me too

[@lordkelvin1]

Good luck man! You can do it.

[@randomstix3351]

The biggest lie I’ve heard and believed for so long was the idea that some people are born to do math and some can’t, believing in this makes you stop trying because its as if it is entirely determined and out of your control. Going back to the basics and really starting from the beginning will help, I never had the right foundation so I struggled whenever the questions would change. There’s no such thing as a “math person”, you can learn anything you want.

[@WestExplainsBest]

Absolutely true! I hear that a lot as a math teacher so I usually try to relate it to any other learnable skill: it just takes time and practice to master.

[@randomstix3351]

@@WestExplainsBest when I really wanted to start back with the basics in highschool but didn’t know how I went up to my teacher to ask for help n didn’t understand after he tried explaining so he figured I was just messing about so he ignored me n told me to leave since he was helping other students who were better/more serious abt math. Knowing that even the teacher didn’t think I had a chance kinda shot down any confidence I had to try to learn math again

[@ivanr4300]

True. However, some people are smarter than others and grasp things easier

[@WestExplainsBest]

@@randomstix3351 That's why teachers are such an essential part of the learning and why every interaction I have is so important. The best thing teachers can do is work to establish meaningful connections with their students, i.e. care about them as humans, and usually the bad interactions like the one you described can be minimized.

[@WestExplainsBest]

@@ivanr4300 True. As with every other skills, some people have a natural inclination to master it more quickly. The goal should be to elevate everyone's math abilities regardless of how they compare to one another.

[@blueangelx22]

I was always “bad” in mathematics, This year I started learning on my own, I’m in my 30s. This really helped me. Thank you!

[@mohammedriyazansari4462]

What will you do if your not a graduate from math ??

[@Byronic_Hero]

Been a year, how far are we?

[@mohammednabeel4381]

@@mohammedriyazansari4462 , why you need to be a graduate if someone wants to learn Mathematics?

[@jjDub331]

Im 30 as well and im about to start my own self learning journey

[@Byronic_Hero]

@@jjDub331 Where do you live and what do you do currently?

[@zainnobody]

Book List mentioned in this video Discrete Math books: Discrete Mathematics with Application 2nd edition by Susanna S. Epp Discrete Mathematical Structures by Kolman | Busby | Ross Proof writing books: Mathematical Proofs A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, and Ping Zhung An Introduction to Abstract Mathematics by Robert J. Bond and William J. Keane Pre-Algebra: AGS Pre-Algebra The Pacemaker Curriculum Pre-Algebra College Algebra: College Algebra 3rd edition Jerome E. Kaufmann Blitzer College Algebra A Graphical Approach to Algebra & Trigonometry by Hornby, Lial and Rockwold Geometry by Jurgensen Brown King Calculus: Calculus by James Stewart Calculus 3rd edition by Michael Spivak Differential Equations: A first Course in Differential Equations with Modeling Applications 10th edition by Dennis G. Zill Ordinary Differential Equations With Applications by Larry C. Andrews Linear Algebra: Elementary Linear Algebra 3rd edition by Howard Anton Linear Algebra 4th edition by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence Linear Algebra by Serge Lang Linear Algebra by Kenneth Hoffman and Ray Kunze Finite-Dimensional Vector Spaces 2nd edition by Paul R.Halmos Linear Algebra 3rd edition by Schaum's Outlines Linear Algebra and Its Application 2nd edition by Gilbert Strang Statistics: Mathematical Statistics with Applications 6th edition Dennis D. Wacherly, Wilia Mendenhall III, and Richard L. Scheaffer A First Course in Probability by Sheldon Ross Complex Variables/Complex Analysis: Fundamentals of Complex Analysis with Applications to Engineering and Science 3rd edition by E. B. Saff and A. D. Snider Complex Variables and Applications 7th edition James Ward Brown and Ruel V. Churchill Real Analysis: Analysis I 2nd edition by Terence Tan Analysis II by Terence Tan Advanced Calculus A Course in Mathematical Analysis by Patrick M. Fitzpatrick Principles of Mathematical Analysis by Walter Rudin Elementary Analysis: The Theory of Calculus Abstract Algebra: Abstract Algebra A First Course by Dan Saracino Contemporary Abstract Algebra 3rd edition by Joseph A. Gallian Introduction to Topology 2nd edition by Theodore W. Gamelin and Robert Everist Greene Applied Combinatorics by Alan Tucker Naïve Set Theory by Paul R. Halmos Introductory Functional Analysis with Applications by Kreyszic Graph Theory Ronal Gould Real Analysis 2nd edition by H. L. Royden Real and Complex Analysis by Rudin Algebra by Michael Artin Calculus Made Easy by Silvanus P. Thompson F.R.S. and Martin Gardner

[@TheMathSorcerer]

awesome!

[@eklipsegirl]

Very underrated comment!

[@takamuramamoru7972]

thank you sir !!

[@bharathpeddi4195]

Thank you

[@lucasdominichini3095]

are they in order, saw the video a while ago but don't remember, also thank you

[@AthenianStranger]

As a high school math teacher with limited higher level math skills and a penchant for purchasing lots of old math books I sincerely appreciate this video.

[@TheMathSorcerer]

Awesome👍

[@pinklady7184]

I check out vintage math books at Open Library where you can digitally burrow them and read online. Membership at Open Library is *FREE* and borrowing of ebooks is free too. If I like what I see there, I may order copies and buy them.

[@bmoneybby]

Thanks teach.

[@Jelcroo]

@@pinklady7184 I also use www.pdfdrive.com I got TONS of maths textbooks and physics textbooks, chemistry, mechanical engineering, aerospace, all subjects in scienc, science history, programming, computer science, like everything is there to download for free. And it’s totally legal! The books on there have a free license use and published for free. The ones that have copyright infringement get removed! So no guilty feelings by downloading those textbooks. I got like 30 Gb of textbooks on my cloud storages. Like 1000 textbooks already and I keep hoarding and hoarding. Sometimes I also get the hard copy edition if I really like the book. I personally love a real book more because you can actually feel it in your hands. But the hard copy textbooks are expensive and I am always on the look out for cheap deals on marketplaces. I love buying maths and science books. I got so many maths books, I need 10 lifetimes to go through all of them! LOL

[@sophiacristina]

@@pinklady7184 Thank you for the recommendation!

[@martinezruizcanalesaguilar5986]

Timestamps 00:00 - *Intro* 00:31 - Discrete Mathematics 02:32 - Mathematical Proofs 03:36 - Pre-Algebra 04:15 - College Algebra 04:58 - Algebra & Trigonometry 06:01 - Calculus 07:46 - Differential Equations 08:30 - Linear Algebra 09:29 - Mathematicsl Statistics 10:11 - Complex Analysis 10:46 - Mathematical Analysis 11:54 - Abstract Algebra 12:25 - Topology 12:42 - Combinatorics 13:04 - Naive Set Theory 13:26 - Functional Analysis 13:43 - Graph Theory 13:59 - Real Analysis 14:44 - Linear Algebra 15:35 - Calculus 16:09 - Geometry 16:27 - Linear Algebra 16:58 - *Outro*

[@amazingvideos5773]

Thank you for this😊.

[@JohnDoe-qz3qi]

👍.

[@bhupeshpawara9310]

Really nice

[@Mentalstrength647]

Thank u 👍😄

[@Johnnymagnet92]

Find it weird that Geometry is right at the end when it's one of the first things you learn

[@Mythtongue]

Thanks so much for these books. I suffered brain damage years ago in high school and my math knowledge was lost. I'm working to get back to where I was and beyond. I gave up because I would have to build up from literally the beginning. Yet, with these, I know I'll get there! Learning the right way!

[@nopenope6909]

Stay strong man

[@kaneda6118]

Bro you should document your journey on learning math again ,I am sure a lot of people would be interested

[@hxper5077]

You'll surely reach the heights buddy. Stay strong

[@blackswan1983]

8 years ago I tested as having grade 7 math skills. After grade 12 math, I went on to take college algebra. Since then I've been studying chemistry with the goal of getting into a biotechnical program. Never give up, and don't let people discourage you. I spent years believing the teachers who said I was wasting their time. I'm 37 and a single parent. It's never too late.

[@TheMathSorcerer]

never too late!

[@004chestnut8]

Hey mate just wanna check up, how are you doing now?

[@weshen83]

I am also 37, totally screwed up at school at 12 and didn't open a textbook ever since. Did many odd jobs in my teens and twenties. Became a business owner at 27, but decided that I wanted to know theoretical physics, computer and data science. But I have two kids and a wife to take care for. So I am setting aside enough money to be able to study for a few years. Now I am done creating a roadmap to learn all that is needed to learn what I want. It truly is never too late to study. Good luck to everyone!

[@TheMathSorcerer]

Good luck!!

[@weshen83]

@@TheMathSorcerer Thanks! And to all kids in here. Better do your best in school now, because when you are an adult it is certainly more difficult. But it's never impossible!

[@redoansaleh]

1.descreate math 2.abstract math 3.algebra 4.trigonometry 5.calculus 6.differential equations 7.linear algebra 8.statistic and probability 9.complex analysis and variable 10.elementary analysis 11.abstract algebra 12.topology and combinatorics and set theory and functional analysis 13.graph theory 14.real analysis 15.geometry

[@alexkha]

16. database theory 17. cellular automata 18. tensors and AI, image recognition etc 19. game theory 20. cryptography and data compression ... I learned a little bit of everything, because a general understanding of a lot of these is needed to do freelance computer programming...

[@TheMathSorcerer]

Ya I forgot to include that👍

[@theunknown4209]

12 needs to be broken up

[@meteor8076]

why geometry is on the 15th position ? it must be first!

[@citrus4419]

@@meteor8076 geom is hard man…

[@ericbarlow6772]

Discrete math, logic, and boolean algebra are really handy for understanding elementary computer science. Even if you don't study computer science, having some familiarity with the math goes a long way in understanding how a computer works.

[@alphawavesready6639]

So discrete math is a beginner type ?

[@ericbarlow6772]

@@alphawavesready6639 it’s been nearly 20 years since I received my degree. I don’t remember discrete structures requiring heavy algebra and being discrete you don’t use calculus. The closest thing you will encounter are infinite sums. You will be working with set theory which requires a different mode of thinking. So to sum up while not necessarily beginner math, I don’t see a lot of obstacles that would cause you to give up.

[@adipurnomo5683]

Is it computer science from math field ?

[@ericbarlow6772]

@@adipurnomo5683 yes. It’s more theory and math heavy than a management of IT systems degree. I remember having to do linear algebra and discrete structures specifically as well as statistics and probability which involved calculus.

[@nnnyel]

@@ericbarlow6772 welp, so it is true that compsci is going to be math heavy.

[@johnsindayen8684]

Arithmetic = basic calculation. Prealgebra = basic application. Geometry = space calculation. Algebra = 2d calculation. Trigonometry = triangle calculation. Calculus = approximation. Probability = prediction. Numerical Analysis = last resort calculation.

[@configdestudante]

The books in videos is that in chronological sequence for study? Or creator just show all the subjects that must learn in mathematics?? I dont understand..

[@qasimhussain4972]

@@configdestudantethink it is in order

[@Enoo-Wynn]

Thanks!

[@philipcaldwell3187]

Simulation = Idiots Draining Billions for full time employment

[@marshaldteach2054]

There's free knowledge everywhere... All you have to do is be hungry enough to consume..😁

[@TheMathSorcerer]

👍

[@freddyli5356]

Wow it won’t be free if you consider your time and efforts as costs.

[@pratikrana7038]

By Ranchhod Das chanchad(movie 3 idiots)

[@divinedragons1761]

Stay hungry stay foolish

[@vijiyanttanaji9800]

True 👍

[@boyinalabcoatboyinalabcoat393]

The thing is: math is a language. You should be teached about how to be fluent in it, being able to improvise and to make equations like you write an idea or essay with words. In school/university they only teach you empirically like, put this number here this other here and calculate.

[@christucker7425]

Any resources that teach like this?

[@boyinalabcoatboyinalabcoat393]

@@christucker7425 i an also searching

[@galaxycraftings]

@@christucker7425 same

[@IISeverusll]

@@christucker7425 It is already within your mind via imagination.

[@Isa-tn7ex]

@@boyinalabcoatboyinalabcoat393 for more basic math AoPS is wonderful

[@friyazDO]

I know this feels closed-minded and arrogant, but I’ve actually never thought of using a textbook to read from. I’ve been conditioned so badly to just skip and do the problem sets I forget that there’s actually tons of useful information in these things. Thanks for reigniting a passion to learn!

[@thedojoclub]

this has been the BIGGEST realization for me as I started to teach myself stuff after school. textbooks have soooooo much good info *on top of* the exercises (perfect blend of theory & practice)

[@fluffyendercat2759]

me too, espacially in School. I just do the problems with out an explenation in how to do them. Idk it feels like cheating not beeeing able to get to the solution on your own. Having to read an explenation on the topic bevor. I dont think thats waht you meant but why not

[@spiderjerusalem4009]

notably those who're still in school studying merely through youtube or any media except big reading. I don't blame them for such mentality (i myself used to be one of those) due to how poor textbook in schools in general, let alone those in 3rd world countries

[@centuryfiles9558]

You're not the only one!

[@meowgames3850]

Bro same

[@vlun1215]

where were you when I was struggling in 1998 to 2006? Thank you for helping the next generation of students.

[@hi-il7ug]

I was never particularly strong in math, until in 7th grade when I started self studying Algebra 1. I took a CBE and jumped 2 years ahead in math. Self studying is the best advice I could give anyone.

[@therobustmole1137]

If only I knew that 7 years ago.

[@jorayx]

Cbe?

[@hi-il7ug]

@@jorayx credit by exam. you take the test and get higher than a 80, it will count as an entire year of math.

[@andriejann8029]

Agree, algebra makes a lot easier if you learn it by yourself

[@Bruce_Yes]

Love love love

[@HelkinJared]

These types of videos are what everyone needs, but nobody knows what they need. Thanks!

[@Galbex21]

Fianally a mathematician humble enough to give book recommendations instead of trying to explain something in yotuube just to show how much he/she knows. You need to be really humble to do this kind of videos. Most of the mathematicians I know feel like the smarty pants kid of the class.

[@seank8054]

You're focused on the wrong thing. This is one problem people have when it comes to learning. If you want to learn math, things like that should stop mattering to you... How does the teacher treat people? Is he/she being nice? Why are some mathematicians so cocky? These questions will distract from actually putting in the work to understand. Mindset is key.

[@Galbex21]

@@seank8054 The amount of likes my comment has says something about the crappy attitude of most mathematicians and math teachers. Not all but most. Their toxic attitude affects learning for everybody. Many people seem to agree with me.

[@rainypath96]

@@Galbex21 they have a lack of social skills

[@GulfCoastGrit]

@@rainypath96 It's the issue of the technician vs the teacher. It's two wholly different skillsets that you have to develop. I've met some people with phenomenal technical skills in their field, yet they fall flat when training and coaching people. I've also met people who were above-average to good in their technical skillset, but were awesome teachers and trainers. Interesting thing that happens though; the great trainers tend to learn more about the subject as they teach it and they get better at it themselves. They may never become the very best in their field, but you'll often find they've trained and coached the people who are.

[@philcooper9225]

We're all stupid to some extent, whether lacking emotional intelligence or some other important facet of life!

[@notofthisworld5267]

I'm pretty good at mathematics. Algebra is my favorite, honestly. I like Functions and Trigonometry as well. Math is only hard at first glance. Once you start learning the concepts and patterns, it becomes easier. I'm 44, and have had college Math classes. I'm pursuing a bachelors in Statistics. I start in July. I'll be 47 or 48 by the time I finish, but I'm okay with that.

[@emanuelc1025]

It sounds very interesting! Many times age doesn't matter if we just want to follow our passion or heart, or achieve what we've always wanted to achieve. Go ahead and keep at it! You will finish it, and your soul will be much more complete by then! I hope you really finish and achieve this!

[@travisgodfrey-evans2182]

You’d be 47 or 48 anyway, good for you! I’m 24 about to relearn as I’m so so interested in computer science, programming, etc. and I feel I lack basic skills in math that would really help

[@MEZTLI2023]

This is why it’s very important to read, read, read. We are taught to hate math. But it’s fun and you feel great once you’re able to solve the math problems. Great video!

[@feathersx5427]

You were taught to hate math?

[@feathersx5427]

​@@I_would_like_to_buy_an_E Math cannot be understood for most people without strong determination .

[@feathersx5427]

@@I_would_like_to_buy_an_E Can you learn? Should we try and help you understand?

[@feathersx5427]

@@I_would_like_to_buy_an_E That's great. Are you interested in hard sciences?

[@feathersx5427]

@@I_would_like_to_buy_an_E I went to college for hard sciences, but I was a computer nerd for all my life. I ended up working in computer science for the last 20 years. Mostly in the network admin/security admin stuff, But I also have experience in development. I program almost daily. Self learning is something I try to do every day.

[@PresidentSunday]

People are getting intimidated by the number and length of the books, but even just a few of the ones at the start would give a non math major a huge boost.

[@lonelycubicle]

Here’s hoping, just got the 1st book

[@vladkuprienko7162]

Except if you want to abolish government and then God

[@PresidentSunday]

@@vladkuprienko7162 You take basket weaving for that.

[@thanhvinhnguyento7069]

@@vladkuprienko7162 that's a tad bit too far from what I'm signing up for here

[@loganperry5669]

@@vladkuprienko7162 Fool

[@kenllacer]

I've always struggled with Mathematics in school from Elementary all the way to College. This is the subject which I devoted most of my time to, staying up late and then waking up in the early hours of the morning in order to finish my homework. I feel that this is the one subject in school where it is absolutely essential to have a patient and devoted teacher who will guide you through it instead of only focusing on the students who excel at it.

[@hebermoreno7963]

That's a shame that there are very few of them. And by the way, few students who actually go for advice (after putting on the effort of learning) with the teachers - most of the time, the indifference goes both ways and it becomes a vicious circle.

[@snark567]

@@hebermoreno7963 All it takes is for a teacher to crush a student's self esteem once or twice and they'll never bother trying again. School made failure a big deal, if I got a bad grade I was mocked by teachers and other students, I had to fear how my family would react and I had to fear my scores not being high enough when finishing the year. It grinds you down and makes you hate trying anymore because you associate learning with inevitable failure and stress. Failure is a part of learning, it's the act of putting your plans into practice and seeing with your own eyes where and how your method doesn't work which naturally makes you come up with better conclusions. School destroys that, a lot of people grow up thinking that they should never try anything ever because if they're not good at the start, they'll never be good ever.

[@hebermoreno7963]

@@snark567 sadly, I agree with you and can relate to that nonsense competition inside the classrooms from my own story (mainly in junior high school). Nobody teaches you that you have to (and in general will) run out of lots of erasers before actually digging math, and that mistakes and frustration are essential in the process of learning. But here we are, learning it again as adults, with nobody watching.

[@superavril2238]

I’ve realised that my math teacher was focusing more on the equation, not the reason, not the purpose of using it, how to use it and apply it in real life, the beauty of mathematics, like, we were just taught how to solve it, not why to do it and how this and that in things

[@user-gi6ly6dr1f]

@@I_would_like_to_buy_an_E wow bro im sure he didnt realize that

[@lostSempaiWissame]

I’ve been looking for this video for 10 years now. I’m a resident doctor specialising in obstetrics and gynaecology but math has always been the love of my life

[@edgelorddragneel1142]

There are people who have studied maths in school for years to get math major. And if I ask them to teach me maths, they'll hesitate or decline because they get jealous of people learning too early and being master at it or to see someone is better than you. But you showed us how to be the best at math from scratch and for absolutely free. You have earned my respect. God bless you.

[@TheMathSorcerer]

❤️

[@zeroanims4113]

Dude they're hesitating cuz ur asking them to teach u for free, teaching is literally a job and it takes a lot of patience to teach someone especially on a subject as hard as math

[@wannabeasquid1138]

Maybe they don’t know how to teach for someone.

[@JasonJia11]

@@indian-hc6pp that would only work if done as a favor, tutoring/teaching is a service, it's supposed to be paid work.

[@WestExplainsBest]

I'm impressed with your level of highly specialized knowledge. As a middle and high school math teacher, it amazes me just how little of the surface we in fact cover of mathematics. Glad there are people like you to teach people beyond their secondary education.

[@bradman7281]

@GRAPHENE IS IN THE MASKS, SWABS and PCR TESTS!!! alright schizo

[@antikoerper256]

As Mark Twain once said - dont let school interfere with your education. Back in high school here in Eastern Europe (and even earlier in primary) I used to hate math. With the onslaught of time however and the age, I started realizing that not only you cannot live without it but also the type of teaching which we got and the environment which I was in harmed and impacted my way of perceiving math. Hence why consider getting back to the roots. Such videos help a lot, thanks!

[@TheMathSorcerer]

👍

[@TheMathSorcerer]

Ya either order is fine

[@فنكجَلِيدٍ]

The same happened to me. I'm just now attempting to make up for the wasted time.

[@dimlighty]

Any progress since?

[@cryonim]

Exactly same! I was pretty bad at maths and school just made me do it for the sake of passing exams. I didn't see the relation of maths with the world back then at all. Just graduated from CS last year with average score and now I see maths being pretty useful, and secondly, since I have a job and see where exactly something is applied I got a pretty good point to define using maths. And just like he showed in the video, the books are insanely good, I started off with Susanne Epp and it is a mesmerizing book, I've still yet to complete it but I can already understand a lot of math topics on the web and elsewhere.

[@DeltaCx65]

Calculate Made Easy is a game changer. Definitely a relaxed read, but incredibly helpful to build intuition.

[@amortalbeing]

I have never seen a person so enthusiastically and passionately talking about math. You really must be loving it! its really showing in your voice !

[@wilmdrdo1228]

This is a gem! I'm an Electronics Engineering graduate but my foundation in Math wasn't that strong hence I struggled finishing my degree. But now I'm willing to put in some time and effort to really learn Math. I'll make it as a hobby since I have 9-5 job now. Wish me luck!

[@amramjose]

The same for me, I barely passed calc3 and EM fields and waves absolutely kicked my rear!

[@trexzone6839]

I used to be scared of Math but when I changed my perspective and realize that Math is actually everywhere and everything like in calculus then my understanding and love of Math comes in much better and realize how much one can miss its goodness

[@isuckatthisgame]

00:00 - Intro 00:31 - Discrete Mathematics 02:32 - Mathematical Proofs 03:36 - Pre-Algebra 04:15 - College Algebra 04:58 - Algebra & Trigonometry 06:01 - Calculus 07:46 - Differential Equations 08:30 - Linear Algebra 09:29 - Mathematicsl Statistics 10:11 - Complex Analysis 10:46 - Mathematical Analysis 11:54 - Abstract Algebra 12:25 - Topology 12:42 - Combinatorics 13:04 - Naive Set Theory 13:26 - Functional Analysis 13:43 - Graph Theory 13:59 - Real Analysis 14:44 - Linear Algebra 15:35 - Calculus 16:09 - Geometry 16:27 - Linear Algebra 16:58 - Outro

[@saudansari3537]

Good

[@bloodpuke4146]

You may suck at the game but you’re a Saint 🙏

[@arazigh5824]

I had trouble with Outro.

[@adriaanvorster8827]

Thank you!!!

[@Adashorts2224]

Can I download them online?

[@SirMo]

In my mid 40s. And I've been re-learning math as well. I moved countries (three different languages) when I was young, and as a result I have tons of holes in my math education. So I started over again in my mid 40s, now that I have time and the means to do it. I think the advantage this time for me is the fact that I can really dig into areas I enjoy. And with some life experience behind me I think it helps me compared to when I was young learning this stuff with no frame of reference. Anyway thanks for putting this together, I ordered bunch of books using your links. Hope it supports this great channel!

[@Whalllllien]

Honestly this was really helpful. I used to be the “smart kid” that kinda burned out in middle and high school. I kinda learned how to bullshit my way through math because I didn’t think I’d major in stem. Then I fell in love with geology and realized how screwed I was needing to not only know math but get into engineering physics classes. I am just barely getting through trig realizing I don’t think I know much of math at all and don’t know where to start because I have a very bad foundation. So thank you! I’ll definitely try to do some self teaching so I can go into this feeling confident!

[@jaredf6205]

Yeah, I was so good at every subject in elementary school, I didn't have to do a single piece of homework or study and could ace every test in every subject. Then it got hard and I had no idea to how learn.

[@jathins6809]

@@jaredf6205 yeah i was very good in maths in till my 10th grade. Now as online classes started, all my interest has gone. I didn't study in my 11th grade. Now i am weak in maths

[@mourii8643]

@@jaredf6205 guess I’m not the only one lmaoo

[@javidfarhan1675]

I live how you kinda treat them as books ,that you can read for fun, rather than as textbooks.

[@TheMathSorcerer]

For sure !!!

[@JourneytoBetterSelf]

GUYS I HAVE A DOUBT HE RECOMMENDED 2 BOOKS FOR CALCULUS AND ALGEBRA (4 IN TOTAL) SHOULD I DO ALL 4 OR ONLY 2 (1 FROM ALGEBRA AND 1 FROM CALC ) PLEASE GIVE REPLY FAST

[@ru7935]

@@JourneytoBetterSelf get 2

[@josueramirez7247]

I have seen a few textbook prefaces or study guides that warn against reading a math or physics textbook as if it were a novel. But, that doesn’t mean you can’t read it as a bedtime book. It’s just that you might not get a lot out of it if you aren’t actively reading and trying the exercises.

[@JourneytoBetterSelf]

@@ru7935 ty :) Btw u mena 2 total right

[@arif.in.wonderland]

I remember not being a fan of mathematics back in high school (my performance was above average though). Fast forward to university doing my economics degree and I absolutely fell in love with it during my third year to the point where I wished I majored in math instead. I finally saw the beauty that math had _as a language_ and I felt cheated by the school system. It was only after I'd started learning it by myself without any forced study and dry tutoring that I fully appreciated the place that mathematics had in the universe

[@raylaurence8849]

You said it. I never thought of it before as language learning like when I studied French. But that is what it is and how it should be taught.

[@ievanpolkka1738]

Wait till you learn art

[@leannemartis7180]

Hey! I'm an econ major too and want to re-learn all of math, right from high school math. Any books you recommend to cover everything i should know in math up until year 4 of an econ undergrad degree?

[@arif.in.wonderland]

@@leannemartis7180 honestly if you just follow the books recommended in the video you'll have everything you need to know.

[@alisara1014]

How’d you do study math from the beginning?

[@mathpunkmindset7428]

I come back to this video whenever I need to be motivated to study. I'm not sure why, but being able to see the road from where I am to where I want to be is very exciting.

[@sreyamathew327]

Tip for high school students: Don't ignore topics in your textbooks just because they are not included in the syllabus. At least go through them

[@TheMathSorcerer]

👍

[@TheClinchMagazine]

Yeah.

[@zacherylouis8660]

Tip for high schoolers--invent more time in the day so this is feasible

[@michaelh4227]

You make it sound like this is just a high school thing.

[@cool08player]

There's not nearly enough time in high school to do this. Not only is most of the day spent in school, but we are also given homework to ruin our whole evening!

[@ultracrepidarian1456]

I regret not focusing more on math I'm 23 and I feel so left behind It's never too late I guess

[@TheMathSorcerer]

Oh yeah it's never too late, you have soooooooooo much time. I didn't even start until I was 24!! You got this❤️

[@ultracrepidarian1456]

@@johnathanjohnson7483 thanks, I just realized math is basically all graphs. Everything about math can relate to graphs.

[@Fabio-zd6oi]

@@ultracrepidarian1456 no that’s not true.

[@ZolekaMncwabe]

M 28 and have a Masters in Biochemistry and guess who's revisiting undergrad Mathematics?? Meeeeee😂😂😂✌

[@ScantaniouslyCombust]

I'm 33. I started my maths journey last year. Never ever too late.

[@lolliz100]

Can you imagine learning Mathematics from the start to an advanced level where you are now able to Apply Mathematical knowledge/concepts.. to Business, and become wealthy from doing so.

[@evanurena8868]

I've imagined what you described and sometimes it makes you depressed knowing how much more potential so many people could have had if we focused more on locally creating or pursuing independent curricula such as schools specifically specializing in mathematical/STEM training without being bogged down by the red tape of one-size fits all strict standards of 10+ years in general education. Try proposing you're awesome idea to some traditional liberal arts purists ,whom unfortunately run the national gamut, as they get on their intellectual high horse over "well rounded" knowledge because saying the word or suggesting "specialization" or "vocational" in affiliation with a math curriculum would have them think you're an idiot.

[@tudormarginean4776]

I'm finishing my PhD in Philosophy, but man, I love studying math - it's the most esthetically-pleasing experience, besides being useful for pretty much any other subject I care about

[@Ouafae-nu6kw]

What's your field?

[@tudormarginean4776]

​@@Ouafae-nu6kw as I said, Philosophy

[@noah1322]

Math can be very fun when you're not under pressure to perform well on exams under burdening time limits

[@WestExplainsBest]

Very true! I have had exceptionally bright students who simply needed a while to process each problem. Still brilliant students though!

[@whatwaq]

I came here thinking this was some joke video, didn’t expect such high quality. Good job!

[@TheMathSorcerer]

Thx👍

[@saldownik]

U got baited like the rest of us.

[@GiLLyMGL]

Thank you, this is all I ever needed and wanted! I hated maths, got bad fundementals and I’m 23 and starting to learn Maths all the way from the start on my own just because

[@Yourfellowmortal]

Self education is much more authentic and effective in compared of being forced to it.

[@hoangnguyendinh1107]

@@Yourfellowmortal it depends. I myself trying to grasp the mathematics concept of AI and ML and still no progress.

[@eileenjohnston6835]

In our homeschool, my children used the Saxon Math books by John Saxon. Two of my children finished B.S. degrees in mathematics by the age of 18. One went on to earn a master's degree in Statistics by age 20. Another in her later 20s earn a masters in data analysis and computer engineering. In my experience, working in a health profession is that most of those who struggle with math are stuck at the level of learning fractions. I recommend the Saxon book for those who need help learning basic arithmetic.

[@loganspidey]

Wow was literally going through several videos before this on how to learn maths methodically and this just dropped today

[@TheMathSorcerer]

oh that's awesome!!!

[@breakthelegacy]

I'm a behavioral neuroscientist wanting to transition to computational neuroscience. I did calculus in high school 20 years ago, now I cannot solve for x to save my life. Today I have received my copy of Epp's Discreet Mathematics. The journey begins. :)

[@solvemathematicsproblem947]

Good 👍

[@ararix3722]

4 months how's proofs going?

[@breakthelegacy]

Slower than I would have liked; more fun than I ever imagined.

[@darqlite6780]

@@breakthelegacy awesome, I wish you luck!

[@odealianaffairs9001]

I stopped taking maths in school because I was terrible at it and hated the classes. However when i had to learn trigonometry and some similar level math a few years back for some reason I realised how fun it is to actually learn. I genuinely felt intrested. This is gonna be my goal for the next decade. I am going to teach myself maths.

[@jcravenclaw]

I was never bad at Math in school, unlike most comments here, but I only learned for the exams and, as a result of it, I can't remember a thing now that I'm in college (no math at all). Gonna follow this and see if I can actually learn this time.

[@BusinessWolf1]

What confused me about math was always the 'how' of why things work, not the 'why' of how things work. I wanted to know how a formula worked more than what it does.

[@baeseulgi1742]

do proofs

[@BusinessWolf1]

@jshowa o that's cool. what does hard mean? landing on the moon hard or learning to draw hard? because right now I'm in the process of spending hundreds of hours learning to program front end web development

[@BusinessWolf1]

@jshowa o Oh, I knew that. I only very recently started studying web development.

[@jpviscaino]

@jshowa o and it's not something every school teaches well

[@islandvibez]

If math isn't proof that we're in a simulation, I don't know what is.

[@zach2049.]

I litteraly could've learned mathematics well if it wasn't for school! I get that some people like school and that's great , but it's not for everyone! I find myself learning many new things and enjoying it outside of the school system! I feel like school didn't do anything for me that benefits in my life today ! Altough i wouldn't say it was a waste of time

[@KH-cs7sj]

School is a place for ordinary people to get a certificate to prove that they have learned certain staff, so that they can get a job or enter graduate studies.

[@dongwei8131]

Learn Mathematics from START to GIVING UP.

[@TheMathSorcerer]

Rofl

[@JorgeRahuviano]

When the book is good, you won't lol

[@justamanofculture12]

For real lol 😂

[@secretasianman7622]

That was me when I finished Calc 2 🪦

[@feelingspecial4345]

kzbin.info/www/bejne/e36rpYGEhZumZqM specially for you

[@ciel3425]

I absolutely love the way he talks about Math: beautiful, amazing, interesting. Those words are not familiar to us students who are taught math as a very dull and boring subject. From the bottom of my heart, thank you❤

[@kd6600xt]

This is a fantastic list of maths topics from start to finish to use. It pretty much mirrored the order in which I learned maths from A-Level to Uni in the UK as a Maths Graduate. I would however recommend also studying some probability and statistics once you've covered algebra/calculus. It's a different route to Analysis however highly important if you're looking to get into Computer Science/Data Science/Analytics and more. You'll be using statistics for significance testing, writing reports and probability for understanding distributions for the data and likelihood of observing data.

[@abuhammer7450]

What do you recommend for a levels?

[@nathandaniel5451]

I'm 21 restarting learning math and it seems like a huge amount of work. I'm re-going-through Stewart's calculus and Spivaks calculus but solving every problem takes over 15-30 hours per chapter.

[@robbartlett4426]

For what reason? Curiosity ? Or are you looking to get a career using mathematics?

[@nathandaniel5451]

@@robbartlett4426 both ig you could say

[@zants_]

It gets crazy long. I remember having 2 days between class, but the assigned homework would take me 40 hours of pencil-to-paper time (I'm a bit slower so it took me longer, other students took 30 hours). Those are times I never want to relive. I would have to all-nighter Sunday through Friday, then sleep Friday and Saturday and start again.

[@nathandaniel5451]

@@zants_ for Stewart's I found the opposite. Sections start having sub 50 questions a lot more. And the difficulty isn't hard. I haven't done much of Spivaks yet but dang each chapter definitely takes awhile. I did HEAR that it gets easier but apparently that comes down to getting used to the level of difficulty. From my experience with Spivak so far it ain't a joke. Which book are you referring to, I can definitely believe it taking that long for Spivak. For Stewart's there are long chapters but not too many of them.

[@dh6320]

I think that's about right when you are self-taught and are learning to LEARN. Wheras school is learning to get a good grade - it's not the same and never allows real opportunity for the lesson to be absorbed and mastered.

[@Endeavour6644]

Life lesson: every subject is more fascinating and interesting once you leave school and learn yourself. School was the biggest waste of 16 years it was made dull and boring. Science I hated now I have a high understanding of chemistry and physics due to feynman and degrasse tyson.

[@luana.desousa6398]

Homeschooling>the rest

[@User40919]

Degrasse Tyson is the main G

[@ethereal1444]

And due to walter white too

[@siddharthmishra1061]

Its mostly because how they are taught. Luckily got a chemistry teacher who was very much fascinated with the subject itself, he taught us very well, he was a researcher, although it was no requirement for a teacher to be one, I think that's one of the reason he was really good at explaining things about the subject. He would go into the details (that he isn't required to) to explain the intricate details just so that to that it starts making sense. I liked his teaching because he did not make it plain and boring, and just blabbered theory but he used to provide context, and connect all the things with the real world. So I think it depends lot on the teacher's qualification, personal interest in the subject, charisma, to be able to engage students in a subject. And is rightly said by Dr. Walter Lewin- "those teachers who make physics boring are criminals", and I think It applies to all the subjects there are to teach in this world. Either you teach it with great interest and develop students' interest in the subject or you don't teach it at all, because that only creates burden, and wrong opinions are formed about the subject even the subject doesn't deserve it the teacher does. Aah. Feels good to let it all out now. 😌 Sorry if anyone might be offended but that's just how I feel.

[@TheBooklyBreakdown]

Eh, Im sorry while I like those authors I dont think you can say you know physics and chemistry at a "high level" without college.

[@muhammadarham7442]

You have elaborated, and probably highlighted a key statement: Read and understand as much as you can. Many people, including myself, have motivational problems as I used to think that I need to understand everything.

[@Doodlebug0352]

This man is like the Chef John of mathematics. I love it.

[@c_rem6101]

Honestly I wish all education was streamlined like this so I wouldn't have to waste time

[@SLEAZY808]

FANTASTIC VIDEO!!! Getting my BSEE was a pain in my ass because everything felt rushed. One minute you’re rushing through Complex Analysis then you switch over to Probability Theory then back to complex analysis. When you self study, it’s amazing how much information you can absorb. For Electrical Engineering, we had to remember formulas and tables such as the Laplace and Fourier transform or the stupid gradients of a transistor without sticking to the fundamental understanding of the formulas.

[@johnsindayen8684]

There are 3 ways of doing math. Discrete Math is used for exact answers. Calculus and Rounding for approximate answers. Probability for guess numbers. But really calculus can get exact answers because the size of universe are as minuscule as numbers.

[@rooowtwx]

I grew up failing at math. Still can’t do it. Yet I click on this video when KZbin randomly recommends it to me

[@TheMathSorcerer]

Hehe it's a step in the right direction!!

[@mohammadreza5038]

Dude! I thought you wanted to share a redemption story

[@rooowtwx]

@@mohammadreza5038 haha!! I wish I had one but it just never happened. Math was my one and only Achilles heel. (Still is, unfortunately)

[@annielionheart7255]

@@rooowtwx This is your chance! Waiting for a redemption story in a few years.

[@iliveinsideyourhouse3943]

Lol same. I have never passed math quizz and exam in my entire life.

[@lorenzveithen4178]

I’m studying Aerospace Engineering but have always been interested in the pure beauty of more advanced mathematics. Thank you for your recommendations!

[@ronnydelcid3049]

Me too , good luck 👍

[@centauria9122]

Ah, Aerospace! I sure do love spacecrafts and rockets, and I am studying astrophysics as I've got a passion for space, how things work, and one day try to become an astronaut. I'm here because me and you alike needs a lot of math to try to go for our chosen fields of study.

[@adityasaumya9634]

This is the kind of content I pay my internet bill for

[@TheMathSorcerer]

Lol

[@stefonjackson2154]

Awesome! I told 10 math courses. From Algebra to Probability and Statistics for Engineers and Scientists. Great presentation on each math course. Bring back my college days. Good job!!

[@OkamiSam]

i just love the way this man talks about maths, with such a passion and energic

[@yobroh0]

Wasn’t ready to get inspired in school.. Stumbled upon this vid and suddenly I realize that curiosity has matured into a vigorous hunger for learning… Great initiative, much appreciated!

[@rabirajbanerjee3872]

Topology is really an elegant field of study in Maths, lots of what we see in Machine Learning, like data representations , dimensionality reduction have their roots in Topology.

[@Skynet5D]

Data representation and dimensionality are more related to finite-dimensional algebra than topology

[@rabirajbanerjee3872]

@@Skynet5D I know, but Topology also gives another way of looking at it, that's what I felt when I was doing my research.

[@althafyoosuf7945]

As a fresher, which channel is best to learn this branch. I know calculus, trigonometry.

[@StudyRob]

Wow, this video is an absolute game-changer! I've scoured the entire Internet and even consulted professors at university to find a comprehensive guide on learning math from the ground up, and I'm thrilled to say, THIS is it! 🙌 Thank you for finally providing the exact path to follow. Your clarity and structure make the journey seem so much more manageable. Grateful to have stumbled upon this gem. Time to dive into the world of math with confidence! 🚀 #MathematicsJourney #GratefulLearner

[@youtubeuser8875]

Wished humans would lived 1000s of years. Then I would had finished these books slowly slowly taking my time. And not only these but physics and chemistry also

[@kalsieru]

But the funny thing is ... you only need a few years to finish all of these! Because you're no longer stuck on a 4hours of math per week (if that) aka school schedule! You can do 4 hours everyday and you'll be done with all of this and then some in maybe a few years, maybe less ^^

[@shoaibakther1453]

Nerd

[@deathlife9353]

@@shoaibakther1453 loser

[@elirei_]

Yep. Lots of books to read but so little time.

[@youtubeuser8875]

@@kalsieru I do 3 - 4 hrs maths everyday. That's not the point. It's not just maths I wish to learn. I want to learn all of subjects. All knowledge of mankind. But the time I have got in my life is just not enough to do so. There are other things in life too u know except for studies.

[@SaraswatiMeena]

Dumb me thought he would teach me entire maths in 18 mins👁👄👁

[@TheMathSorcerer]

Haha

[@avii23]

I thought he will talk about NCERT ! 🥲

[@Ann_108_]

Its not only You🙂

[@hmmmm4412]

@@avii23 🤣🤣

[@deliha3093]

Same hahahh

[@Thor_Asgard_]

i had alot of problems in high school with advanced topics in math, as my foundation was crap. thats where the teacher comes in, as he didnt gave us the real deal to become great.

[@WestExplainsBest]

Advanced topics can be seen as a blow off class and I suppose teachers too can view it that way. I just hope my students didn't feel the way about my class or my Channel instructional videos.

[@NoOne-ev3jn]

I’m from Morocco, most (all) of the Maths we studied in school was in Arabic and we didn’t have really this distinction between each maths branch, like we don’t call each branch by its name, we refer to every thing as “maths” and this had put a little bit of difficulty on me trying to learn Maths in English without knowing each branch is about, for this I decided to learn from the start, like really from the start so I can have finally this distinction in my mind

[@Maximum_maxi1]

Kano kaytkayaw 3lina 😂😂😂😂

[@amandasoto1124]

I just received my grade for differential equations and I passed!!! I want to thank you for your videos, channel, and advice it’s been so helpful.

[@TheMathSorcerer]

Awesome!!

[@HichemFrozenBlood]

Thank you for this! I decided to start with "Mathematical Proofs A Transition to Advanced Mathematics"... and wow what a book that was! I think it's the first time that I read a mathematic book and understand every bit of it and I'm not even a math student, that's how clear it was.

[@lolitsBilly]

I hated math while going through high school but absolutely loved calculus and really liked taking a group theory class. Upper education of math is so different than what they teach you previously.

[@annearts5]

Is that true I like maths but I keep failing again and again I'm in my 12th grade😢

[@yakiniku6075]

​@tgbraava You probably have a shaky foundation of the basics if you keep failing at 12th grade. This happens commonly if you're a kid for a myriad of reasons, don't worry much as long as you resolve to fix it. Good luck man

[@angelpetkov500]

Thanks!

[@electroskylightgaming4085]

I took a slightly different path to self-learn mathematics.I would like to present it here (I will skip Pre-Calculus and Calculus 1 and 2).As you how through my post you will probably notice that I included very hard and advanced books, and that's because I prefer to learn one book that is self contained. 1. Linear Algebra (Book:"Advanced Linear Algebra" by Steven Roman). 2. Multivariable Real Functions (Book:"Functions of Several Real Variables" by Martin Moskowitz). 3. Integral Equations (Book:"A First Course in Integral Equations" by Abdul-Majid Wazwaz). 4. Advanced Calculus (Book:"Advanced Calculus" by Callahan). 5. Real Analysis (Book:"Measure,Integration and Real Analysis" by Sheldon Axler). 6. Complex Analysis (Book:"Complex Analysis" by Serge Lang). 7. Abstract Algebra (Book:"Abstract Algebra" by David Dummit). 8. Point Set Topology (Book:"Introduction to Topology" by Bert Mendelson). 9. Fourier Analysis (Book:"Fourier Series" by Georgi Tolstov). 10. Manifolds (Book:"An Introduction to Manifolds" by Loring W. Tu). 11. Differential Geometry (Book:"Differential Geometry" by Loring W. Tu). 12. Probability (Book:"Probability Theory" by Achim Klenke). 13. Set Theory (Book:"Set Theory" by Thomas Jech). 14. Tensors (Book:"Tensors" by J. M. Landsberg). 15. Algebraic Topology (Book:"An Introduction to Algebraic Topology" by Joseph Rotman). 16. Algebraic Geometry (Book:"Principles of Algebraic Geometry" by Griffiths). Now between these you can learn some standalone texts, but this is the main course. I have read about 50% of this course, but the book are really good. You can check them out.

[@spaceracecorporation6884]

Yeah I've heard about those book....some of them are hard. Most of your books are graduate level.

[@urssmapper7242]

@@spaceracecorporation6884 It is better to learn 1 book for each topic than to learn like 3 books for each. Not everyone has time.

[@benjaminnetaniahu3737]

Nice thanks😃

[@alexanderangilin9943]

@@urssmapper7242 But If you learn them correctly it will take some time but you will muster the topic much more.

[@user-fl4ti7ir8e]

Thank you so much!! Can you email me this list please?

[@delanfernando5964]

For a long time i wanted to learn math by my self but didn't know the correct way to approach it. This is a great stepping stone for me. thank you so much.

[@staine4478]

I enjoyed watching this knowing that I do not have to do this ever in my life. It also makes what I am doing now easy in difficulty and thus motivated.

[@philcooper9225]

Nice

[@AnnaHans88]

What are you doing now?

[@choudharysahabmusic3513]

Mathematics was my favourite subject in school and it will always be ❤️ Mathematics is mother of all sciences.

[@piyushacharya1313]

What is the use of this maths in real life ,,,,accept + - %÷×

[@xyzyzx1253]

@@piyushacharya1313you have to get very good at observing, and you can find all sorts of fascinating ways of describing how things are. That is like asking what is the practical use of having a specialised vocabulary. With a specialised vocabulary, you can write very specific and meaningful things with thought and hard work, The same goes for maths, when describing abstract patterns that happen in the world :)

[@Canwicakte]

​@@piyushacharya1313permutations and combinations, probability and many other topics can be applied in real life

[@jellyboiii6269]

The Math Sorcerer:- Math is Easy. Anyone can learn math. Me:- Algebruh

[@TheMathSorcerer]

Lol

[@Dobbyisfree000]

Algebra is one of the easiest to learn mate.. Its just not taught that way.

[@octohex2908]

self education is the most important thing you learn after you study in college high school or any institutional jailhouse. dont get me wrong college high school is good it builds your character- i don't think it's a waste of time but there are things you cannot do and things you don't do and the schooling doubles that effect so better to take schooling and just make it work and take it positively otherwise you will loathe it in the end when it should be a good exp even when it was bad or worse. make it positive.

[@silviapradilla159]

Algebruh? It's importand for understand the amazing math universe. Hahaha but it's difficult for me too.

[@purusarth]

Aklei tension

[@RunOfTheTrill]

I strongly recommend the book "How to Prove it" to beginners in their transition to rigorous mathematics.

[@TheMathSorcerer]

that's a great book!!

[@annoyingprecision2487]

4th edition is pretty good as it has a great chapter on number theory.

[@brandon5058]

When I was about 13 years old I learned myself programming, I am 21 and I have teached myself algebra, calculus and have worked for 2 years as a full stack developer. I have also used a course from a google instructor to study algorithms. In july 2021 I would like to begin a machine learning course at Stanford, and I’ll use certain books in the upcoming months to gain more mathematical knowledge. Thankyou so much for this free knowledge. And that wasn’t all that I have studied, I have used Yale courses as well. KZbin is the best thing that has ever happened to me.

[@teelin9836]

how do you get the Yale courses? i am kinda interested

[@alncdr]

@@teelin9836 Coursera/edX/udacity are the way to go

[@brandon5058]

@@teelin9836 They are also posted on KZbin. Look for ‘YaleCourses’.

[@jefferymaurice8253]

If you don't mind me asking. What is your is github ?

[@brandon5058]

@@jefferymaurice8253 All my projects are private sadly.

[@judemoore1248]

Dude! I have been looking for something like this for FOREVER! I fell in love with math while studying Biophysics at UC Berkeley in the 80's. I went on to medical school and have been practicing emergency medicine now fo over 30 years. I'm planning to retire soon and I wanted to do more math to stimulate the little gray cells...thank you!

[@abhamahant9878]

Self-taught things are more likely to be understandable for me personally

[@angelise3188]

This is EXACTLY the kind of video that I love the most. It's in order - this video is a dream come true.

[@TheMathSorcerer]

❤️

[@feathersx5427]

Why do you like this video? Is it because its in order?

[@jessefreitag5374]

Alan Tucker was my professor at Stony Brook and I had him for Applied Combinatorics and Graph Theory. Such a down to Earth, brilliant man, easily one of the best Professors I have had.

[@nobodyimportantt341]

recently, I picked up a book about geometry in the fourth dimension, but then I realized that I didn't understand anything outside the thought experiments! That sent me down a rabbit hole trying to figure out what I don't know, but now I'm re-realizing how cool math as a whole is! This is a great roadmap that I will come back to reference :)

[@amydebuitleir]

Thank you; this is exactly the video I needed! I have taken some post-graduate maths courses, and I have a PhD in another field. I've been trying to fill in some of the gaps in my maths knowledge through self-study. Figuring out what I should study next has been the biggest challenge.

[@TheMathSorcerer]

oh very nice!!!

[@AllahHuAkbar-r8r]

Sir my respect to you, you are so humble not like those parents and teachers who are busy in competition of childern, you understand that everybody cannot understand everything.

[@hath6617]

Wow I literally spent most of yesterday trying to find the best way to progress through maths, searching various websites (including videos on your own channel), and then this falls out of the sky today. I’m in my final year of secondary school in Scotland doing advanced maths and I was really considering reading maths at university but it’s much harder to get into a medical school postgrad than entering right out of school. This really bummed me out because I love maths and it’s been my favourite subject at school so far, I really didn’t just want to just stop at complex numbers, proofs, differential equations and what in America would maybe be considered Calc I in college? Idk man but pursuing your channel the last couple of weeks has really motivated me to keep up with it at university, even if I have limited time between studying. All the best man, what you’re doing with this channel is phenomenal, you and blackpenredpen make me question my vocation sometimes.

[@TheMathSorcerer]

Awesome 🔥

[@CoolCat6131]

I graduated with a bachelor's in neuroscience and I am now learning a bunch of math. In my opinion, a math degree is better than a biology degree. I went to a not so good university, and there's a guy who graduated a few years back from my university with a physics degree; he ended up getting into Harvard Medical school. So, I don't know your life trajectory and what not, but math will take you places. Also, I wanted to share this awesome resource for determining which maths to study math.mit.edu/academics/undergrad/roadmaps.php . That's the MIT math roadmap, which has been very useful to me in my studies. You can also google classes to see what textbooks they use. It's also quite common that, if you google a class, there will be online lectures from MIT OCW. Best of luck in your endeavors, which will hopefully continue to involve math!

[@thusharsm]

@@CoolCat6131 I don't think a math degree is the same as a physics one though. Math grads could have job oppurtunities though, it is better if they also hone their coding skills.

[@thusharsm]

A suggestion if you want to learn some math on youtube: Type names of higer math subjects like algebraic topology and you will find channels with very less subscribers but very good content. One example I can give you is Harpreet Bedi. Just search for that name on youtube and his channel has a lot of wonderful math stuff(most of the advanced stuff in this video and beyond)

[@hath6617]

@@CoolCat6131 Fortunately (or unfortunately for some), medicine as a degree in the UK is accessible straight out of secondary school, there is no such thing as a ‘pre-med’ route as exists in America. This wouldn’t necessarily be so bad, but securing a place at a medical school straight out of secondary school is already a 1/7 acceptance rate, some places it’s as bad as 1/13, this only worsens if you apply as a postgraduate, the average acceptance rate is something like 1/45, and they only really accept people with degrees in chemistry, biology, biochemistry, neuroscience etc, maths doesn’t really fit into the equation so to speak. But yes, thank you for the resource, they’re extremely valuable for me, usually the best resources I find are those made by relatively innocuous channels with few subscribers and as such are extremely hard to find. My backup in case I don’t get in first time is neuroscience btw :)