Three Tips For Learning Math on Your Own

In this video I go over three things that are useful when you are thinking about learning math on your own. Do you have any other suggestions for people trying to learn math on their own? Please leave any suggestions, comments, or questions below!! Thank you!!
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Thank you:)

[@kodiererg]

Learning calculus as an adult, I can tell you that the videos online are indispensable, I bought a couple books and they have their insights, but nothing beats practice. Math is like a sport, you have to practice. Workbooks are more important than textbooks.

[@BlackMambo]

@Green Mills and why Martin wouldn't want to learn Calculus? It is in every corner, crack and hole of any industrial or post-industrial Society in the history of humankind!

[@frankchen4229]

@Green Millsis there something wrong with pursuing an academic hobby

[@calamorta]

My personal issue with the "practice approach" is that I got used to solving exercises without really knowing what I was doing and why those techniques were being used. I'm currently trying to get theoretical knowledge, so I can actually understand the math behind the problems, instead of just getting good grades (Economics student), but it's hard... Even some introductory books like Stewart's or Wooldridge's make my head explode. I always end up watching some KZbin classes because that's how I'm able to understand. Reading math is still way too tough for me.

[@joel_xii6337]

@@frankchen4229 He just asked a question, bro

[@trungdo3012]

@@frankchen4229 when a man asked a question to a bold statement, it tend to preferred as a rhetorical question mate.

[@shlokagrawal6405]

damn, jeff bezoz really grew is hair out in the quarantine. Look at that flow

[@TheMathSorcerer]

Lol!

[@d.h.9937]

Haha oh man

[@coleabrahams9331]

Some would even say Ricci Flow

[@paulaaimar5555]

Lmao, that made my day

[@hoaxuan7074]

If you add a bunch of numbers you are doing a dot product. The vector dot the bunch of numbers in vector form. Likewise if you add and subtract a bunch of numbers you are doing a dot product. Eg. dot the bunch of numbers. Arranging addition and subtraction in certain patterns gives you the fast Walsh Hadamard transform. Where the cost of each dot product is a very low log2(n) add subtract operations. For just over 1 million terms the cost is 20 add subtract operations. While the dot products are fixed using patterns of sign flips or permutations just before the transform provides a low cost way to include some adjustability. In particular a randomly chosen pattern of sign flips just before the transform gives a random projection. Repeat for better quality. Don't forget that the central limit theorm applies to both sums and sums and differences. Also the variance equation for linear combinations of random variables applies to dot products. A thing sometimes not noticed. Anyway you can use those cheap dot products to make Fast Transform fixed-filter-bank neural networks.

[@Retro_Jet_Elite]

I never took math seriously in high school. I did the minimum to pass. Made it to geometry I believe. I’ve since gathered many books and resources on calculus and have been plugging away on my own for years. I’ve learned tons from books alone. Thanks for the tips!

[@minnesootanice9472]

I'm this kind of person.

[@frankchen4229]

high school sucks at everything so I dont blame you u're chronically sleep deprived for 4 years and you have lame teachers shoving useless assignments for the week.

[@Ferreira019760]

@@frankchen4229 More like lazy teachers that will rather give you assignments to keep you busy while they sip piña coladas. They suffered, now it's time to enjoy the laurels and inflict pain on others to keep the old tradition going.

[@ok-iy3xm]

@@frankchen4229 my big sister's teacher online just shove her her assignment and activities they don't explain not because they've been very busy but cause there so lazy, so my sis struggles to do her school work. And the bad news is I'm going to be in the same high school soon too, I wasn't happy when I heard mom said I'm going there but I got no choice, when it's time to get the cards my sis give her teacher a back cinnamon rolls and they had the audacity to say " it's a relief you all still remembers your teachers" when they don't even remember her own students name and just shove them activities,homework and thing's withouth explaining how to solve or fix this problem.....nope just nope so I can half agree with you it just sucks......

[@dr.stevebrule8030]

@@frankchen4229 “high school sucks at everything” lol I feel this

[@speedspeed121]

I learned EVERYTHING from prealgebra (adding and subtracting fractions) to precalc. I literally had no idea what "solve for x" meant. As a much older student, I wanted to be an astrophysicist, but I didn't want to go through all of the elementary math classes. It took 18 months for me to be ready for the assessment test. I made it into calculus! Today I am a senior at a major university in California. And yes, I am an astrophysics student.

[@Keepyourthoughtspositive]

Congratulations!. I dropped out of high school beginning of 10th I can honestly say I remember or know little to nothing when it comes to mathematics specifically algebra such as equations and so on and geometry. I’m 43 yes old and have bought a book in all subjects I’m studying on my own. I’m overwhelmed in how hard math is for me .

[@ophiuckus1635]

This is pretty motivational. I am 39 and have recently started with Algebra 1, planning to get to calculus. I'm trying to learn everything on my own to be ready to pursue a degree in Geology. Also will have to learn chemistry and physics before I even feel comfortable starting my first year at university. it's a long road, but I'm motivated. Good luck and thanks.

[@speedspeed121]

@@ophiuckus1635 Good luck!

[@tennis0037]

I have a sister that struggles with math. Her math teacher doesn't care about her class. I clicked on this video thinking of her.

[@bestopinion9257]

Tell her to use text books and start from the very beginning without hurry and without jumps further. If you are made for math, this is the best way to study. If not, no teacher can help you. But there are many people thinking they are bad at math but with proper approach it will be easy for them. But no one can learn math in no time, so be prepared to invest many many hours.

[@caterpillar351]

in which grade she is?

[@StarryNightSky587]

Is she stuck?

[@bestopinion9257]

@@StarryNightSky587 Do you have fantasies with "stuck"? Stuck sister, stuck cousin, stuck aunt, ...

[@StarryNightSky587]

@@bestopinion9257 asking for a friend

[@Mo-ki7tu]

I’m not mathematician, but I think for self-learning you need to go step-by-step instead of jumping from low level course to high level course, because this way will build your understanding gradually and then the next course will be easier to learn. For example you can not understand differential equations without learning calculus. Thanks 🙏

[@TheMathSorcerer]

Definitely !

[@sfcs3743]

It's a personal choice. You are taking a bottom-up approach where you build your understanding from the root. There is also a top-down approach to learning. I personally prefer starting from middle which gives me material to explore the nitty-gritty details while also exploring the top-level topics.

[@front331]

I agree. It's a domino effect.Think of mathematical induction, if you can't drop the k + 1th domino, you have fallen behind.

[@brunoarnoni]

@Jake Smith yes, you can. I know this comment is a little late but you can grasp really well many discrete concepts without continuous math. I'd recommend some knowledge in structured proof writing, sets and quantifier logic, but some material already have a introduction to these topics (the subjects will be usefull in all math that I'm aware of, though)

[@vikghjbj3137]

@@sfcs3743 in

[@tauceti8341]

I love having so many books, I need so many different perspectives in the writing, some go deeper, some not as much, some explain it differently, some will have illustrations, and it will just click.

[@TheMathSorcerer]

yes definitely!!

[@pinklady7184]

If you ever want to do your own illustrations, consider using *FREE* open source softwares which are subsidised by donations. These are Inkscape and Gimp for graphic designs. For digital art, see MyPaint and Krita. If you want to create 2D animation, there are Krita, Tahoma, Synfig and Pencil2D. For 3D art & animation, there is the Blender which has a steep learning curve. All softwares mentioned are all free and you can download them from their official websites.

[@mike_the_tutor1166]

@@pinklady7184 Don't forget TikZ and PSTricks!

[@probasteelchiquitoahorapro1490]

I have the same love for math books. Sadly, here in Argentina, is not that easy to get every book you want, so i usually print pdfs that i download from internet lol.

[@pinklady7184]

Proof Index Thank you for mentioning Tikz and PSTricks. Being curious, I am just looking at this Tikz tutorial kzbin.info/www/bejne/ppSsq5iEaZt4isU

[@moth36]

Really reading book is better than just watching a KZbin channel because when you read the book you will force your self to understand what is written and you will use the pen and paper for that reason

[@TheMathSorcerer]

Yup!

[@_francocarballo1314]

Eso depende del libro😃

[@meta_cog]

I'm in high school and doing a lot of self-study with math, so this advice definitely came to me at the right time. I used to underestimate how great math books are, and now I have a couple books that I'm studying from currently. Very grateful for the content you put out, glad to have subbed for a couple months now

[@TheMathSorcerer]

Awesome!

[@senorvillhiamdlieahl118]

Same here mate. I’m planning on starting to learn linear algebra up to calculus at the least.

[@Vishwesh2]

@@senorvillhiamdlieahl118 nice

[@aomoussynonymous8712]

@@TheMathSorcerer Sir, how do you protect so many books from termites and rats ? I would love to have a similar library but I'm always worried for them getting damaged by some environmental factors (Like them being at a damp place for long) and the living things I mentioned above.

[@MrHitomiplum]

@@aomoussynonymous8712 Put them in a plastic box.

[@EvilSandwich]

I'm a self studier myself and yes yes yes to all of this. Especially the "learn from more than one source" tip. No matter how good the source is, they all have a tendency to focus on some things and glaze over others. The more sources to read up on, the more complete the picture will be. And yes, its okay to jump off the deep end, even if you understand nothing in it. I like to pick a topic that's way out of my league and pick it apart, piece by piece and slowly work my way backwards until I find a sub topic I can latch onto and slowly work my way forwards again until I completely understand it. It helped me a LOT when I was trying to learn Fourier Analysis.

[@MichaelKleyn]

Thank you! Unfortunately, my high school years were misspent and I didn't give time to any homework. My math teacher unfortunately ruined math for me for a long time. Fast forward to 26, and I've decided to pursue a Applied Math and there are just so many bad habits of thinking to override from my younger years. I just really appreciate hearing these sorts of reinforcing messages.

[@MrHitomiplum]

@LeftRight This is utterly untrue. I mean, UNBELIEVABLY untrue. You'll learn this in time.

[@asha4005]

I'll be 26 and I've started taking Applied Math this year. I'm glad I can relate to this comment.

[@smuthern]

Math textbooks are usually my primary source of learning, but I complement my learning with video tutorials if I'm stumped by a difficult concept in a book.

[@tauceti8341]

Awesome! Self-studying homomorphisms and rings right now. Ofc I wont understand everything the first go through.

[@luisbelgois2102]

This will help me with algebraic topology and measure theory, thanks a lot.

[@TheMathSorcerer]

👍

[@davidsoto4394]

@@TheMathSorcerer Borrowing math books from the library is a good idea.

[@TheMathSorcerer]

Yes !

[@stomatahatachi]

@@davidsoto4394 sadly covid 19 strikes

[@zeldamage001]

I leaned measure theory and I still don't know it's applications...

[@ujjalmajumdar618]

Sir, I'm learning topology on my own. I studied set theory, some metric spaces, some logic and developing abstract algebra and calculus simultaneously to help me with topology. And this video, sir, is so relatable. Thanks a lot for those positive and uplifting words. I so needed them.

[@alaydeonrono3355]

How has it gone for you?

[@ujjalmajumdar618]

@@alaydeonrono3355 quite fine I have shifted my focus more towards calculus recently. I plan on finishing Spivak first, then abstract algebra(only got some ring theory left to complete the introductory course) then shall I resume my study of topology.

[@Broomful]

@@ujjalmajumdar618 That is great man. Ive been looking to study topology sometime too. I love math i really do even though its been my weakest subject since 5th grade. But im determined and dedicated even when ive failed so many times to even count. Im in highschool right now and my freshman year is ending and im still struggling in Algebra unfortunately. But like i said in the paragraph above i am determined and dedicated. I want to be a mathematician or get a job in computer science or physics as a career for myself. Ive practice alot of math at school and at home i also go to tutoring here and there and watch many reviews on youtube. I am still continuing my math journey! Im using my weekends to study and understand the math. I have a algerbra 1 regents in 1 week and 5 days and im very scared since algebra has been hard for me and math has always been my weakest subject. This video is pretty relatable to me and i am getting more textbooks and workbooks in order to actually understand the math

[@fuyangdeng3513]

I just want to say that I truly appreciate what you do for the math community, especially for those who may not have good access to a quality mathematics mentor.

[@TheMathSorcerer]

Thank you!

[@soberhippie]

One book and you're all set? That's not maths, that's religion

[@RickWeberEcon]

The Hitchhiker's trilogy is five books though...

[@ashishbhaumik7305]

@@RickWeberEcon Five books, and still called a trilogy? 🤔🤔🤔 Mathematical paradox? 😉

[@stumbling]

Euclid's Elements is the Old Testament

[@K4inan]

@@ashishbhaumik7305 The author did that on purpose, he was super smart and hilarious

[@abdot604]

not really ," all of statistics " will get you coverd in statistics

[@Simon-vy8fe]

Such a perfect timing as I'm about to start studying mathematics on my own after during the evenings after work. I really enjoy your channel, please keep sharing with us. :)

[@junomaranan1101]

Valuable advice! So grateful for your practical tips. I work in IT & been out of school for decades as adult life has eaten up much of my time. Been meaning to pursue Math perhaps as a 2nd degree not so much as a job requirement but for personal achievement. Thank you for the inspiration!

[@DJ-yj1vg]

Being comfortable with not understanding something is the hardest part

[@reginaldwright4527]

You, my friend are a WONDERFUL human being!! Your passion for helping people with life lesson in my opinion is arguably as powerful as your mathematics ministry. Be encouraged sir and continue being great with your humble demeanor and intellectual virtue. You get my Nobel Peace Prize!

[@TheMathSorcerer]

👍😀

[@abdulrakeebalsarori8171]

"But reading a book just gives much more" completely true for me. I will be watching your math videos, though.

[@khue6377]

I totally agreed with your statement about the value of reading books ... it’s help me visualize what the author is describing. Thank you for the video

[@H0PE0FTHEUNIVERSE]

Dude, I don't have any idea why you came into my recommended but I needed your advice. definitely subscribing.

[@tmendoza6]

Would love to see a video on how professors and students stay motivated in mathematics. I trade in the derivatives markets and a winning trade can keep me motivated for months and can be life changing. In mathematics you have to work hard to score an A and then at the end just go back to work. I will admit when you discover a new subject or make a connection between different areas of math it is really something special.

[@mohammedyassin3875]

I really thank you and I am totally with you I am a medical student in Egypt and if you choose medicine you don't need math a lot in Egypt I wanted to study calculus (just for myself not required in my college) so I begin with videos I understand what they say but I forgot a lot even with practice also I found myself lost in the middle of ocean so I begin with stuyding what i have forgot in my high school algebra it took me so long to find the good source the only thing that worked for me is picking a calculus book and start studying even I don't know all the pre calculus required when I stuck in the middle I google it or find a video in youtube but really sticking with book and answering the problem is the best way

[@victorgabrielbuena]

omg I always feel this way, so inadequate and drowning in self doubt whenever I dont understand everything about a subject. Thank you for this video, this makes me so happy. Thank you.

[@TheMathSorcerer]

👍

[@patricklandon7476]

I've been struggling with math (remedial) my whole life, 55. KZbin is not only invaluable to my understanding of math today but substantially better than any in-person math class or book I ever had growing up. I could go on, but I'll leave it at that.

[@kevinmarshall353]

Glad I found this channel. I'm a nuclear engineering major and I'm in my reactor physics section of my fundamentals course, and I had no knowledge of hyperbolic trig ratios, the laplacian, or bessel functions which are super important when calculating the neutron flux density of various reactor geometries. I'm also in linear algebra this semester and I feel like I have no idea what is going on. Thank you for the reassurance that I can in fact learn all this on my own.

[@TheMathSorcerer]

👍

[@levil7324]

How'd it go?

[@hugoestrada2089]

I found your videos trying to find a proof from Halmos' set theory book. Then I stayed for the soothing messages of not giving up. And by watching your videos, it encourages me to read more math

[@TheMathSorcerer]

Excellent!!

[@BOBMAN1980]

"Get as many books as possible, as cheaply as possible." That has been my approach over these last few months--I mean, some stuff I find at thrift stores for 50-cents or so--and while I'm more concentrating towards the engineering side, it seems to be working. My approach has been to kind of delve in for a few paragraphs, which I almost always have to read at least three times just to make it seem like 'English', then, when I reach my threshold, move on to another book for a few paragraphs. Then look through my notes. Inevitably, days later, I have to re-read what I already read several times over, but the matter seems to sink in a little more.. I actually get a grasp of it--I think. Today's accomplishment was learning how "angular frequency" was different than 'normal' frequency. And I wouldn't have been able to learn that if I didn't learn what Radians were a couple of weeks ago. Again. . ..I'm not learning. I'm just becoming less ignorant.

[@fabiorodriguesdossantos6738]

Thank you for this video, really needed it as I’m trying to expand my knowledge in maths so that I can do theoretical economic research. The beauty about learning maths by yourself is that you can take however long you want. Videos are good as an introduction and to see someone doing the steps to solve a certain problem. I recommend not to rely too much on one book as some book skip too much content. Like you said, don’t be discouraged if you don’t understand something the first time. I like moving on and coming back after a few hours or days to the thing that I didn’t understand. Keep up with the motivational videos!

[@chrisd961]

What I am currently doing with Calculus I is, I bought a book and I switch between videos and the book I have. With this covid situation this has proven to me the best way of studying for myself!

[@divyanshumishra953]

Thanks a lot. I have just started after completing my statistics portion 😇.

[@mercuryION]

These tips are pretty much how I've approached engineering courses as well. Great advice 👍

[@rexscipio3344]

A combination of books and online lectures are helpful to me. I'll self study via books and then look for a relevant lecture on KZbin for deeper understanding. Your channel, Brian Logan, 3Blue1Green, Mathologer, and Numberphile are great channels in their own regards. Organic Chemistry and Khan Academy are also great. Your channel I feel helps with metacognitive strategies and the others get into the underlying theory and applications.

[@pinedelgado4743]

You are SO AWESOME, Math Sorcerer!!! I'm SO CRAZY GLAD I found your channel!! I already feel like I've known you for quite a while. I happen to have two six-shelf bookcases of general and popular math books and math textbooks at home in my private math library that I've kept updated and stocked for nearly six years. I also have a smaller three-shelf bookcase containing books on math history and historical works on math (such as Euclid's ELEMENTS and CONICS by Apollonius of Perga) on top. So, you clearly impress me, Math Sorcerer--BIG TIME!!! :) :) :) :)

[@TheMathSorcerer]

Haha as I read your comment I kept thinking "omg ya sounds like me!". Awesome !!!

[@mind-h4i]

Good advice for a 13 yr old here learning calculus I'm still at calc 1 Few months ago I didn't know what a Trigonometric function is, now I'm playing around with derivatives

[@vasuhardeo1418]

reading from a book and then writing out key steps really helps me to learn. but i got to agee with yuh reading and doing problems is one of the better ways to study math, then videos .

[@ricardomejias3629]

Thank you Master!! You are great!!😃😃😃 Your videos always appears for me when I need them. My brain needs to explote self-learning mathematics. Now, I study, only by pleasure, real analysis (Bartle) and abstract algebra (Herstein)

[@DimaKats2]

I want to learn Number Theory, but I am studying Functional Analysis etc but hey, you are right! Once you do a master then you can pretty much explore anything by yourown

[@TheMathSorcerer]

👍

[@kchannel5317]

This video inspires me. What keeps me motivated me to learn math is to look threw mathematical material I don't understand and fantasize that I'll understand someday even if it looks like an alien language to me at the moment. This has inspired me to sell some of the current non-maths book that I don't read anywas for more maths books.

[@TheMathSorcerer]

👍

[@HominisLupis]

Thank you. Really, thank you. Bought the Susanna Epp textbook based on one of your other videos.

[@djpenton779]

Good advice. I have an undergrad math degree from a long, long time ago. Being retired, I decided to take up math again as a hobby. Resources are better now; good videos on KZbin help. But I agree - a book (or three), especially with exercises & answers, is indispensable. Also, nice shirt, dude.

[@mike_the_tutor1166]

I think you can learn from videos as long as you practice extensively afterwards, which almost always equates to opening a book and doing the exercises. For me, having lots of books is great because you get multiple perspectives. Even the best teachers all have their own style. One might give more intuition, another shows more example computations, some teachers are concise while others verbose, etc. I've found that reading sections from multiple books simultaneously, both reinforces what I've just learned and gives me a better understanding of the concept.

[@TheMathSorcerer]

Yes!!! Such good advice, reading from multiple books is so helpful, different perspectives on the same topic and some things are more clear in one book.

[@mike_the_tutor1166]

@@TheMathSorcerer Thank you! I greatly appreciate all you're doing to help people learn math. Happy to contribute my two cents!

[@jacobharris5894]

I also feel like watching videos might make it easier to understand what you are reading afterward. Math books can be dense and confusing but if you are already somewhat familiar with the material you know where things are going so the details make more sense and you spent less time stuck reading the same things over and over.

[@mike_the_tutor1166]

​@@jacobharris5894 Agreed!

[@juanalvarado6943]

Basically, I learned math on my own. For me, the most important tip is don't lose your motivation. Math is hard and it can easily overcome us. But you don't forget that behind any mathematical paper with complicated nomenclature, there is a simple idea. The problem is to change the bias of our minds to see the simple idea.

[@TheMathSorcerer]

Great tip!

[@brett6804]

My dude, I love your videos! Working on a master's in engineering. Found you on a 'complete the square-denominator' inverse Laplace problem. Your stuff is great and you crack me up! Love the love you put out brother, keep on spreading it!!

[@TheMathSorcerer]

Thank you!!!!!!!!

[@meshackgaolathe6492]

I agree with you absolutely. I always collect as many books as I can . Among them there is usually one addresses my current level vis a vis the subject.

[@Djentstructer]

I'm in high school. Plan to work up to some number theory stuff. That's probably my fav math subject. Just find it super interesting!

[@TheMathSorcerer]

👍

[@chrise.2666]

I wish your channel was around when I was taking math

[@fuzzylogics139]

43 years old, the one thing I really learned well in mathclass as a kid, was how to become invisible. I went to a Montesori school the first three years where the kids could basically pick their own activities, which in my case meant: no math. The teachers only realized I was still at first grade level math when I was in third grade, about to go fourth grade.. Parents made me change schools but I was so far behind that I was so embaressed in class that I really did anything not to get a turn.. I learnt multiplication tables at some point by heart that year, but it was more like you learn your lines for a play than understanding what all these numbers meant.. Anyways, long story short: I’m 43 now and fairly intelligent when it comes to other subjects but math still is like an under developped limb that I can hardly use. But I am at the point where I’ve taken that scrunchy hand and we’re going through 3rd grade, counting cookies and ladybugs. Yes I’ve cried once doing multiplications last week.. And my brain jams up all the time, I get frustrated.. But I’m just not willing to accept that I can’t do math. Thank you for your encouragement, sir 🌸 Anyone any idea how long on average does it take to form new neuralpathways after the age of 40?

[@elmoreglidingclub3030]

Thank you! Excellent. I’m a math self-learner. A large (huge!) repository of problems with solutions of the various disciplines would be massively helpful. I’m learning to use slide rules now; it has been awesome for getting a sense of the “philosophy” of numbers. Lastly, I would love to hear your thoughts on how to best teach and capture students when they move from the context of arithmetic to the more abstract algebra. Seems like that’s where we lose so many otherwise capable kids. Sadly.

[@asuka-ryo]

I used to have a restricted view on maths but watching videos about maths from youtubers like you helped me to open my eyes. Plus, I want to further my studies in Physics and those two can't be seperated.

[@TheMathSorcerer]

awesome!

[@satoshinakamoto7253]

read about everything

[@dackid2831]

I bought a crap ton of advanced mathematics books about a year ago (right after I finished Calc II). Although I understood very little, I knew I will understand eventually. That's what's happening with Real Analysis. For a long time, and even for the first few months of the class, real analysis was so incredibly foreign to me. Now it finally feels like I am starting to pick up the language: which is an amazing feeling. :D

[@TheMathSorcerer]

Awesome !

[@josealexandrearaujoalan851]

Lots of people don't learn not because they are dumb, but because they don't know the step-by-step of it. Teaching how to learn is more important than throwing random content on untrained learners. Great tips, thank you kindly.

[@TheMathSorcerer]

Well said

[@francescakray233]

Thank you for your excellent short video.

[@Paul-eb2cl]

A great video! Three and a half minutes of priceless which you have shared with the world for free, this is what makes the internet great. Thank you for taking the time and effort to make these inspirational pieces, I am self studying Mathematics and they are as important to me as my text books . I love the subject and despite the difficulties I am determined to keep moving forward, and with your help I am succeeding.

[@TheMathSorcerer]

😀

[@deckearns]

I'm a mathematics teacher. This is fantastic advice, and everything said so very true. If I can add to your great points I would say that 'practice' is vital. Practice often. Mathematics is a language, and the best way to get good at a language is to practice and use it as often as you can. Mathematics isn't something that you can try leave then return to after days and days of no practice or exposure. It's something that needs to be continual. Thank you for your upload.

[@johncartwright4041]

I've been watching many of your videos and have agreed with everything you've said. I wish your videos were around in the early 1970's. Keep up the good work for the younger generation. Best wishes from Brisbane Australia. 🇦🇺

from Morocco thank you very much for those advices...and thanks all youtube Mathlovers who give us all these materials...i m an old man loving Maths to death but in my youth we had not such blessing ressourves so i missed my way to get in MATHEMATICS....i m at its shores at it low edge meditating sad and hopless

[@josetorres-bn4hk]

I would love having a calculus teacher like you :(

[@TheMathSorcerer]

Thx man

[@yevonnaelandrew9553]

Hi, Prof! Thank you for the videos. If you have time, please create a video on how to be a respectable mathematician that self-learn, like how to involve in independent math research. Thank you again :)

[@TheMathSorcerer]

Great idea thank you!!

[@u.v.s.5583]

What not to do: Pick up the hardest problem you can find (Riemann hypothesis is good, so is P=?NP), work on it 2 days, then self-publish a series of papers proving the chosen hypothesis/solving the problem.

[@milominderbinder6209]

I haven't ever watched any video of yours before, but I knew I have stumbled upon a gold mine when this video came in my recommendations.

[@TheMathSorcerer]

Oh wow that's that it was recommended, awesome!!!

[@g.johnson930]

Very good! Thanks for advice on a starting point.

[@maxgomez4909]

Math will encourage you to build resilience and patience when solving a problem. Keep going and question everything you can to build better understanding.

[@nicholasschroeder3678]

I got involved with a girl and ditched Calculus 2 for two months. Then the final was imminent: so I did nothing but math for 4 days. Aced the final. It was stressful but exhilarating learning so much so fast. And I found out what I was capable of.

[@BoZhaoengineering]

Books and videos are compliment each others. I prefer the two types of learning resources. Problem-solving is a must-have method. But only do excise when you feel you already get the main idea for a topic and test your understanding by problem-solving.

[@GarryBurgess]

That's my plan. I've taken 2 calc courses in the past, and Linear Algebra but it was a long time ago. I really want to take my calc to the next level.

[@fyohox742]

One day, a math book, fell from the math tree, on the math teacher's head and he suddenly realized that a math map to guide the newcomers didn't exist yet 😁

[@pinklady7184]

My mother despairs when she sees my collection of books. She sees me as a book hoarder.

[@jimilormand9242]

Knowledge is everywhere, but in books the authors condense subject to chapters and allows us to gain the knowledge retain it and use it, Your Mom uses Math in the Kitchen and doing bills and budgets, remind her that she also collects 'stuff'

[@pinklady7184]

Jimi Lormand My mother won't remember what I tell her, because anything I tell her simply goes in one ear and out the other ear. In other words, she won't make sense in anything I do or say, no matter my arguments. She is unreasonable and frivolous, though she is my mother. She prefers to see me waste money on makeups, fashionable clothes, night clubs and holidays than see me buy books, paints, DIY tools, computers, etc. My late father was just as bad as my mother. He absolutely hated my interests like painting, 3D art magazines, academic books, computers, etc. He did everything to hinder my goals and ambitions

[@jimilormand9242]

@@pinklady7184 remember back before this earthly experience, when lessons were given for us to accomplish while on this Physical World, Parents are the first authority figures we met, most parents just happened to have children, they did not learn patterns and behaviors so they were winging it, When you become a parent these lessons will be practiced. Give thanks you had those experiences, and plan for your independence soon, Division and subtraction are part of the equation

[@sasha6454]

@@pinklady7184 I know the feeling. I can't wait to move out in a year after undergrad. All the senseless criticism gets pretty annoying.

[@pinklady7184]

Jeffry Davy .I have a rule for myself. I keep all my ambitions and goals to myself and not tell anybody about them. Nowadays, I don't tell my family or neighbours what I am doing at present, not friends either, though I tell strangers online. Otherwise, if I tell and that my goals ever fail in future, they won't forget to ridicule me for my failures. When I keep them all in the dark, I have peace. They will know, only when once I'll have achieved my goals.

[@ikramharigui8718]

i woud like to say , what you've said is aboslutely right, by an experience i bet depending on books is much more better and efficient than the web sites.you're utterly right.

[@becreativewithching-hui7869]

I do agree with your points of view! Reading books (reference books or textbooks) is important. However, picking right books is also critical. I personally think that maybe students can aim at a few different approaches, such as asking teachers for advices or look for some helping resource websites or friends. It's easier to find a book that you can manage and at the same time somewhat challenging. That way can motivate the learning to keep on going! Thank you for share the tips though!

[@reginaldpooftah4525]

Senior year math major here. Even after many years of solving problems/theorems I sometimes get stuck and spend hours trying to understand a particular concept, so that's how math is, it doesn't discriminate between beginner intermediate and advanced. You shouldn't get dejected, quite on the contrary you should enjoy when you get stuck since it's an opportunity to rebuild your understanding of a particular concept/topic

[@changhenry3032]

Due to Covid-19, studying math in university has sadly become self-studying, with the diploma, of course...

[@TheMathSorcerer]

Ya it's harder for sure

[@spacetimemalleable7718]

Absolutely right! Read & Do as many Problems you can in the book, Get another book, repeat ad infinitum, .... It's really upsetting that some elementary teachers do not like to give homework. This is akin to an up and coming athlete not having any practice/training and expecting a great result.

[@tonysoprano6265]

I plan on buying your Udemy course today. I have a textbook, I have other online resources and I have a ready and focused mind. I appreciate the content

[@letsgoBrandon204]

I need really basic school level stuff. I'd really like to know my multiplication tables. Life would be so much easier if I didn't have to worry about mathematics on top of everything else. One fewer complications.

[@xyzct]

A biggie is to have at least one friend in your life who is also a math enthusiast -- preferably more versed than you -- with whom you can sit with over coffee and have free-flowing chats about math, covering anything you are stuck on, or learned about and find really interesting, or whatever. This really helps to make math fun and exciting, and if it's fun and exciting, you naturally get deeper into it.

[@autumnsglass]

Really good advise - get as many books as possible as cheaply as possible. I found this to be true.

[@gmcenroe]

I am a retired research organic chemist, who has a lot of time on my hands. My study interests are computer programming, math and more advanced physics where I need more math. Since it has been a long time since I was in school, I watched the Professor Leonard math class videos. Although they were a little slow paced for me I found out how much I still remembered and forgot over the years. I also watch som MIT Open courseware videos, but as you say, problem solving is key to reinforcing learning. I'm currently working through Miroslav Lovric's Vector Calculus that I find really well written for self study and good problems. I only had time for Div Grad and all That .... when I was in school. Next review is Strang's Linear Algebra. A good tip for book buyers is buy the older addition and you save a ton, almost the same content. There are a lot more online resources for programming, but currently learning Python and am interested in Haskell. I learned C and Java before so Python is easier. I just try to do a little at a time but be consistent, quit for the day when I get bogged down, plus I need to enjoy other things too. I will look at more of your videos.

[@Hi_Brien]

I don't know, I think there are certain aspects of videos that are greatly superior to books. Let's isolate Prof. Leonard for instance. In my calc class, everyone praises him for the level of depth he goes into in his video lectures. But that's 3 hours, O don't need to spend 3 hours of my life learning about contours and gradients, ya feel? Sometimes stuff is really straightforward, and there are a lot of extra words in places there doesn't need to be. I spent maybe half an hour BSing a definition that made sense to me, and it worked fine, now I'll be the first to admit that I wasn't RIGHT when I BS-ed a definition for the stuff, but the understanding did eventually come. I made connections, and the thing was, I knew my connections weren't founded on the subtlest of grounds, so once I got a working knowledge, I got an intimate knowledge.

[@TheMathSorcerer]

Ya that's why I prefer books too , it's just faster for me.

[@pup4301]

Didn't know topology existed until this video. I'm in high school learning calculus.

[@TheMathSorcerer]

Oh wow cool!

[@stumbling]

Math only gets crazier. Run away, now!

[@kagayakuangel5828]

@@stumbling hahahahahaha!! Awwww don’t chase them away, no no, I welcome you to the world of math, it’s fun, exciting and excruciating pain at the same time....but I am a masochist so lol you might not like it like I do/did...sigh 🤣🤣🤣🤣 I’m still deciding if I like it or not. I’ll leave my final decision to the end of my bachelors!

[@kagayakuangel5828]

Topology is hard, lol but....if you’re interested in gaining the idea of what it is about, you should google, open and closed sets in topology, google search “What is a topology?”, and then google accumulation points, compact spaces. There are some basic concepts that are manageable even with zero calculus. But it’s definitely not manageable if you don’t know the concept of a set! XD

[@michaelweston343]

Reading books and writing out information is by far in opinion the best way to obtain and more importantly retain the information, that and repetition, constantly solving problem sets.

[@wizz_wuzz]

thanks a lot for your advises and motivation! I like learning on my own, and your videos are really cool and helpful

[@TheMathSorcerer]

Happy to hear that!

[@thetagang6854]

I haven't studied maths since GCSE's, that's exams in the UK when you're age 16, I'm currently in my early 20's, and wouldn't mind spending the next 4-5 years at catching up. I want to learn maths, go into PDE, statistics, probability, Brownian motion, for options trading. I've seen your ' learn maths from start to finish', and I'm ready to give it a go! Would love to hear your feedback on whether I'm stupid to think I could self teach myself graduate level maths, or not

[@TheMathSorcerer]

You could definitely do it!!

[@sagnikpradhan3594]

Sometimes I feel I have people like you as my teachers. 2020 has been hard in this new school. And I have a year for applying to college.

[@TheMathSorcerer]

Good luck 😀

[@sagnikpradhan3594]

@@TheMathSorcerer Thank you very much!

[@sagnikpradhan3594]

@James Herndon College isnt going to be hard. Getting there is. I know what should I be doing next, atleast I feel so. College seems like the next right choice. While working first look attractive, it is not how it works here in India.

[@ismirnoff]

Thank you very much! Sounds very helpful!

[@nathanaelgistand1547]

I actually use your advice in Chemistry although I'm in Calc 2 now. I appreciate your insights

[@TheMathSorcerer]

Nice!

[@kyokusei]

me when I dont attend my zoom classes

[@pikupal8996]

Yeah I did not attend any online class of our proffs.Just read the notes of lectures,read book,solve problems of books and assignment and then sit for xams.Thats how this semester is going to end for me.

[@TheMathSorcerer]

Haha

[@TheMathSorcerer]

The trick is to plan your procrastination👍

[@sierrawhite5053]

@@pikupal8996 sameee, i learn better that way

[@quantisz4416]

Great video, sir. During this quarantine period, I studied Measure Theory, Tensors (because I love Einstein's GR), Differential Equations, among other topics. I would like to ask a few questions. Do you prefer paper books over digital ones? And what are the most difficult mathematical areas in your opinion? Greetings from Brazil.

[@TheMathSorcerer]

Paper, hmm not sure, algebraic topology is pretty tough , and all subjects can get harder the further you go

[@Tune4media]

Thank you very much for the great video! I'd like to share my personal experience as a non-mathematician programmer, it might shed some light for *programmers who are looking for learning math*. For the last 2 years, I really wanted to learn deep math because I knew that math is the key to improve my coding (from basic algorithms to data analysis, DSP, and so on...) but I was really struggling in picking the right subjects, it was kind of like picking drill-bits without knowing the type of materials that you'll have to drill in. I've found out that any math subject that is oriented towards *Machine-Learning* is extremely useful for improving your programming in general. So if you are a programmer here are some subjects that I think you'll find to be very useful: Fundamental-Algarbra(this should be obvious), Functions and graphs, basic Calculus, mastering derivatives, limits, integrals, Vectors and Matrices, and Statistics (there are more, but this is the general direction). The learning curve is pretty slow (in fact I'm studying for quite some time now and still have a lot more to cover), so be patient, constantly try to implement your learning in your code (To me it's very useful) and other than picking up books and courses, also watch KZbin channels like this one! because it really feeds the inspiration!

[@athenaenergyshine7616]

Thank you for your advice I really needed these kind of videos as I really would like to be good at maths. I am learning basic maths at the moment. I usually read from one text book first to get the concept and an overview of the area then I watched a booke of the videos on the Internet. However I realised that I only use one book and may not do enough practice problems. So, thank you for the advice I think I will read more books and do more practice problems.

[@justinsankar1164]

Dam these advice videos are so motivational. Time to do some math😈

[@TheMathSorcerer]

yeah!

[@Slecker95]

libgen and math stack exchange (and sometime math educators stack exchange) are your friends.

[@TheMathSorcerer]

👍

[@TheMathSorcerer]

Really good advice

[@krippam1569]

Mathforum too helps

[@tahashariff22]

i have math teachers, but you are the very different ad that's why i loved it.

[@TheMathSorcerer]

Thx😀

[@endlesshybrids]

New subscriber. Looks like a great channel. I’m fascinated by math but had the typical absent-minded, confusing professor in college. Wish I had stuck with it more, particularly now that I’m getting into machine learning.

[@TheMathSorcerer]

Awesome, welcome man!

[@ScholarStream_25]

Now I needed this damn. Edit : I forgot to thank you 🙏

[@TheMathSorcerer]

👍

[@redangrybird7564]

I have tons of pdf maths/statistics books that I've downloaded from the web for free.

[@downwardcyclone3212]

This is a great channel! I started watching last year when I was in pre Calc. I liked math but I just saw the vast diversity and massive scope of it all and felt like I was stacking sticks in the mud while watching a skyscraper being built next to me. That being said it defiantly made me more ambitious so the goal I set for my self was to take 8 math classes in my first two years (on top of my other physics, chemistry and computer science classes). Next quarter I will be taking Differential equations and Calculus 4 (some universities call this advanced calculus I think). I am really excited since I will finally be taking some intermediate courses instead of being stuck with my baby math classes xD.

[@TheMathSorcerer]

That is super exciting!!

[@MarciaArleneDebra]

I like the idea about having more than one book. I study on my own, and I always have an array of books, and people seem flummoxed by my model. But when you are doing independent study, you are more likely to aim for deep understanding, and this leads one to be searching fore sources of elucidation, when something is not understood. The availability of easily accessible sources of information facilitates independent learning. Sometimes different books focus on different aspects of a topic, and each book taken together will provide a more complete picture than a single book.