As someone who is primarily self-taught in higher mathematics, I actually started off in the Magician phase with "Book of Proof" and then immediately jumped into Warlock-level texts (e.g., Spivak, Munkres, Loomis and Sternberg, etc.). Because of this, I often (counterintuitively) find myself having an easier time wrapping my brain around the more abstract portions of advanced topics, while becoming instantly lost the moment the author(s) start applying basic trig functions and other such Apprentice-level topics lol
@@fridging Yuuuup. Time to crack open that big old college algebra and trig text from over a decade ago! Pretty sure it was featured in this video too lol
😂 I keep 'em on tap ... 😅 now that I am older, retention is utilization. Reminds me of the line Trillian used in the original Hitchhiker's Guide to the Galaxy when she applied "mathmagical" skills to fly The Heart of Gold.
I always struggled with leaning math in school but I always loved the concepts of mathematics. I would love to be a math wizard! Its always been a weakness of mine. I cant even do math in my head anymore. Never too late to start though! 💪🧠
though it's about meta-mathematics. information about information about math, mostly. though the book bug is something we share and enjoy not being alone in. (right?). math is hard but talking about math books is heavenly
Just started my math journey going to be a CS freshman this fall and started studying always hated math all the sudden I’m in love. Will be ordering all these books! Thx.
This is probably one of the rare cases where the sequel is better than the original, I think this video is kind of an Epic-Lore version of "Learn Mathematics from START to FINISH" and I really like this format! Keep it up man! We really enjoy your content. :)
It's mostly because those are courses that teach your computational math, which is used in most of the more advanced books he mentioned in the higher levels which assume that you already know that math.
@@stereographicdonut This is just wrong. Any undergraduate calculus textbook has lots of proofs, and challenge problems that go beyond just mere calculation. One problem is finding the integral of e^-x^2. Computation, but takes clever set up. Same with differential equations; lots are just computation but it goes far beyond that. Lumping that with the same as pre-algebra is just stupid. I self taught myself math before I went to college, and I started with calculus, and also started as a 'Wizard,' according to this guy. I have graduate level texts also on quantum mechanics, electromagnetism and general relativity. Just mere computation, lmao
Hi, I have been watching your videos since last summer. Back then, I could barely simplify algebraic expressions correctly. Now, I made lots of progress and I finished Undergraduate level Physics, and am now at Topology (I finished advanced calculus and complex analysis). It definitely is possible, your advice really helped, thanks 👍💪
@@thetenrings Hi, in order to be able to master topics quickly is to always have a very solid foundation. For example, when one wants to achieve mastery of calc 1,2 and 3 they must have a solid background in Algebra. And if one wants to learn Differential equations, they must have a solid foundation in Algebra and Calculus. This helps eliminate many problems and can help you understand concepts a lot easier. In order to be able to study Topology for example, one must have a solid foundation in proofs. And whenever you face issues or trouble in understanding a certain topic, always go to different sources (Books, UA-cam, etc) this helps providing a better understanding of the topic from more than one perspective, which will lead to an overall better understanding of the topic 👍 Remember, you may face setbacks and sometimes you may think that you can’t understand a certain topic, my advice is to never give up and stay strong 💪👍👍
I'm either level 3 or 4. Finished undergrad years ago. Took me 5 classes with 1 professor to learn to write proofs. Soon after I took a Logic class and crushed it hard! Felt good. I have my own library of obscure math books I try to learn from. Also books on learning theory. Among other things. Spent the last decade working as a professional math tutor for all grade levels young and old. Which is awesome as a constant review for me. Deepening my understanding in all undergrad math topics. My favorite part has been noting down interesting problems the students bring to me and later I either write/derive a proof/formula for the concept that students would not understand, but that technically could do the entire assignment for them if only they were at my level and knew how to drag/drop formulas in microsoft excel, or I would make a dynamically updating model of that problem on Desmos (freaking love Desmos). I often use them to visually show the students how consistent all the details are together. I've made many models on Desmos that are basically diagrams and calculators for obscure types of problems. I do this for fun. I'd like to be paid for it (I use it for work but im not required to). But math modeling jobs don't really exist without having experience in 100 non-math areas I couldn't care less about. Generic business stuff. Im not interested in teaching, but my work has been amazingly rewarding in keeping my skills sharp and sharing my passion with people. Meanwhile, I continue to receive automated rejection letters for all the entry level Analyst jobs I apply to because there's just too much competition that getting a simple salary job is a lottery.
It takes 294 years for all 8 planets to orbit the sun once. Now takes 294 and divide it by the planets in order by 1 then 2 then 3 then 4 then 5 then 6 then 7 then 8 and you will get the "fine structure constant" in physics in decimal form.
As someone that has brushed off mathematics and never paid attention to it in school as I hated the teachers I had for it, despite liking mathematics alot. This is a very good video for me and I thank you. I plan on getting into computer science and I want to actually start putting time into maths.
THESE ARE 72 BOOKS IN TOTAL!!! I can barely go through the current Calculus book which is Calculus by Anton Bivens Davis "early transcendentals". I will definitely go through all of these books, as many of my fundamentals are heavily lacking. Thanks a lot for this video! When I told my friend about this video I told him that you mentioned 30-40 books (I didn't count at that time and I just estimated), he said that this is a "life project" and I couldn't agree more! Hopefully my friend will accompany on this journey, and hopefully life won't distract me too hard from this. Btw, I am computer engineering student and I have been watching you for a while now. You cannot simply understand how much I appreciate your work, thanks again!
I'm computer engineering student too man. This guy has single handedly handled all the essential mathematics I need for electromagnetism, data science, engineering math's, discrete math's and also understanding engineering functions
Im a masochist so, Im mathing it out and if you give each book a week window, (which may expand of course as multiple book readings bleed into each other by catagory but treat as an average) you could power through these all very effectively in about.... 1.4~ years. So just under a year and a half. Very doable if you spend a day or week at the start, or a day every month reevaluating your learning system, and learning prep. And this is while giving it room to breath for other things. My suspicion though is there is also a time scale. The first level taking about maybe a week all in all if you power through it, and you could compress the proof training arch to maybe a month if you scedual in time for more practice and bleed it into the 3rd level. I wonder what it takes to get to Level 5?
Im currently at the magician level and I will start taking higher level undergraduate courses next semester. I am starting with advanced calculus, statistics, partial differential equations. I really appreciate your videos and I have purchased some of the books you recommended. Thank you for the amazing content.
I'm at level 2: The Magician...currently focusing my energies on learning Logic, set theory and how to prove things by studying Mathematical Proofs by Polimeni and Zheng. I just finished Book of Proof by Richard Hammock ....wonderful book! And it was free!
I am level 2. Level 1 took me 4 years to get through via self-study. Took a break for a year but I am getting back into the swing of things. Working out of a discrete math book while reviewing all of the level 1 material.
I'm a nursing student who's planning to shift to architecture and I REALLY miss Mathematics, we have a minor math subject on our 1st sem and it's my fav sub even though I excelled on Anatomy and Physiology. Math really turns my brain engenes, I hope I can reach level 4 in this lifetime
Just wanted to say how much I appreciate your channel! Your passion for math is truly contagious, and your ability to make mathematics interesting and fun is a rare gift. Thank you, and please keep this kind of awesome content coming!
You're an inspiration. I'm 44, returning to school for the first time since 1996. I was always good at math and I've found the passion I was had is back. I'm loving it but I am still an apprentice. I've been practicing on Khan Academy, for 2 years and I am taking classes to improve my GED scores to enter Math 112 when I start college, hopefully this fall. I'm not sure if im an intermediate at algebra or barely coming out of beginner. I practice daily and I sleep and eat thinking of math. I am entering the realm of teaching myself precalculus next. I passed my elementary Algebra class last term with n a+ (GED ready classes) but I want to be proficient with equations where I find b in y=5mx+7b. Any recommendations on what areas I should focus on please?
Equation of a straight line, y = mx + b... (m) = gradient of the slope, (b) = y intercept / the place where the straight line crosses the y axis, i hope this helps on a basic level. Also I'd suggest using desmos graphing calculator and putting in variants of y = mx + b.
Khan Academy is very good and it’s free. There are a series of books (with a few free videos) from Art of Problem Solving. These are geared toward people who want more depth and they’re used by many students that do math competitions, so they are very good books. Best of luck to you!
I would be able to build and understand any graph given an equation. Continuous and cases of asymptotes. Logs and exponentials come up often in all your classes past pre-cal and trig. Know those like the back of your hand to be able to use as a tool. Finding zeros, minima, maxima, it’s all worth learning and will help in your courses after. Very important course.
I'm a highschool drop out, part of why Im a drop out is because teachers didn't have time to explain or repeat anything (and no there were no tutors) so it felt like out of nowhere they we're telling me to do math using foundation that I didn't have and I just quit, got my ged barely cutting it in math. so this is really helpful as over the years I've become unhappy with my shortcomings in math.
That was a very good journey from literally high school mathematics to just short of actual research level mathematics (1st and second year grad). Good assortment and amazed how books vary considerably in difficulty which is always interesting since the topics are very similar and what is proved is the same; however, the prose and motivation makes it easier to use one book over another. High 3 or low 4 is where I am.
@@TheMathSorcerer Reading mathematics and science (particularly physics) books give me a different kind of bliss. Thank you for your guidance and book recommendations.
I see Blitzer's Intermediate Algebra in those books. I have his Intermediate & Introductory Algebra for College Student and I love it. I started Blitzer's Precalculus today. If someone can only have 1 Bitzer book-get his precalculus. I suggest Blitzer's precalculus book for anyone that want's a good and easy Precalculus book too. Blitzer's book Precalculus is perfect for me right now. I worked thought the Essential Pre-Algebra workbook by Chris McCullum in the video about a year ago. Its a good book too. Its good to see the books on Differential Equations in this video. Some online classes I hope to take require a class in differential equations and I was looking for recommendations for textbooks on it.,
@@benedictlutab2370 Good luck with your own math studies. I hope you succeed😁😁. I like that he offers detailed explanations. I was never good in math in school. I made mostly D's or F's in math in junior high. Then, surprisingly-I made A's or B's for the first 2 months of Basic Algebra in high school. Then I started to fail it again. I wished I'd access to math books and math videos back then like I do now. II also wish I could provide photos of some of the problems I've been working on from Blitzer's precalculus book. I don't want to make myself sound better than I am because I might start to do very poorly on this math. However, so far, I've gotten probably 93 percent of the book correct. But I'm only on chapter 1😁.I'm so happy & proud that I have been able to do this math so far. I think his precalculus is the perfect math book.. Math is fantastic. P.S. I just ordered the book Mathematical Ideas and How To Read & Do Proofs that I saw in the video
I am 32 year old programmer and am very interested in starting my journey into mathematics. However, in school no attention was paid and was not explained the importance(the unlocked doors math provides in all sorts of disciplines). Thank you for spreading knowledge!
This is such a fun way to break down different stages of one's mathematical journey! I'll be referring to this video to get me to the next step of mathematical wizard. Great video!
Yeah man. I'm taking a master's in electrical engineering, getting good grades, but I still considering myself as an apprentice. Thanks for this video!
Floundered in wizardry from time to time throughout my ongoing engineering phd (convex analysis, discrete), but mainly stayed in warlock territory. Doubled undergrad pure and applied math, so plenty of warlockian stuff going on! I skipped the magician stage which was definitely a mistake in retrospect!
Idle aside: The only three books I kept from my college career were courses in Numerical Analysis, Real Analysis, and Convex Geometry. (Books effectively in: The maths behind cryptography or other CS. Proving that Calculus Works. And I don't even remember what Convex Geometry was about (besides maybe self explanatory) But the professor taught the class as, okay, these are the axioms/proofs to start you. The rest of this course is y'all generating proofs to further your understanding. GO!. Didn't do great in the course, but it was certainly the most interesting of my college math career.
Level 3 sophomore. In Japan you start off with level 2 as a freshman, 1/3 of the class fails, and you start level 3 in your second year. I love it bcz I hated screwing around in level 1 - so mechanical and boring.
Level 3 at the moment, I think Topology/Measure theory really pushed me to get better at proofs. Currently busy with projective geometry, grassmann varieties, and measure theory I actually think I should go back and revise multivariable calculus, intro to probability etc. Because I notice I didn’t put in enough of the work when I had those subjects a couple of semesters ago
Im a warlock taking a course in differential geometry in the fall, along with abstract algebra, PDE's, and advanced calculus. I hope it isn't too much for one semester, and that I can grasp the concepts in differential geometry while taking other courses that could be considered co or pre requisites.
I made it to the outskirts of level 2 I had been intimidated by proofs in high school geometry, the only math course I've ever finish with a "C". Unexpectedly, I was faced with proofs my senior year in college in Discrete Mathematics II. 😮 This time I succeeded in getting an "A" 😀
Having a borrower's card at my university and living near it is quite a benefit. I'm able to borrow these books to learn about mathematics (and other topics) without spending a dime. The time I have to work on math is limited though.
I think i have level 1 now but I need repeat this level 1 material, cause I forgot some theorems and proofs in geometry . This video is motivating so thank you for this content 😊. (I have written this message by my voice)
Another good book I recommend is Mathematical Methods in the Physical Sciences by Mary Boas. It covers the bulk of computations that physicists make. If you like physics and are used to thinking physically about mathematics, or if you're into mathematics but want see it put into context, i definitely recommend checking it out.
I’m taking an ‘introductory’ engineering statistics course at my university and we are using the Walpole and Myers book from ‘level 3’! No wonder I’m finding it tough
Well, here is my story: I am currently finishing my degree, I am in the last semester of Civil Engineering and throughout my degree I have really liked mathematics and I have done very well in the mathematics subjects that any engineer takes (differential calculus, integral calculus, differential equations, etc). Lately I have been very motivated to do a master's degree in applied mathematics or quantitative finance (It's funny because I'm about to be a Civil Engineer but I want really do different things with my life and I have a different prospect about what I would like to work in), I would like to be able to do it in mathematics but it scares me since I feel that I do not have the mathematical maturity and the foundations to do a master's degree in mathematics (because I come from an engineering degree), in fact, I am currently taking along two subjects from the master's degree in applied mathematics at my university: Advanced Calculus and Nonlinear Numerical Optimization (I'm not in the masters yet but I'm taking those courses as electives), in Advanced Calculus I think I'm doing very well, I was very afraid since it's a prove everything subject and we see topics like introduction to real analysis, basic topology, complex numbers, ... and I had never seen any subject of this type previously and full focused in writing proofs and that kind of stuff. My idea is to finish and get my Bachelor's degree and then do a master's degree in Applied Mathematics or Quant Finance, because I would like to be part of the front desk of a Hedge Fund or get a decent job related with math in Wall Street because I have becoming very passionate about trading in the recent years and I want to do it right, i.e., from a mathematical perspective and I know that these big companies and hedge funds like to hire people from master's degrees in mathematics or PhD's in math or physics. And I'm not wanting to do a masters because of that, I really want to do the master because I really like math and I enjoy it, as you said: "You choose the mathematics life because you just enjoy the subject; you have to enjoy the subject or else it's just going to eat you alive" and I have felt that while studying for the Advanced Calculus subject because I have spent a lot of hours trying to understand things and adapting to thinking on a different way that I was used to. I'm planning to start admission process in these universities: * Stony Brook University * Baruch College * New York University * Rutgers University Hopefully I get admitted to one of that and start my program in QF Finance/Applied Math. If anyone can give me some advice on which master/university is more appropriate for what I want to do with my life I will really appreciate that! Sorry for the very long comment but I just feel that there are others that could be in the same situation than me.
I'm in a similar situation but with a different skill-set. I'm more of a reader and writer and frankly have always hated math but trading (with fairly good success) makes me very VERY interested in progressing in my mathematical knowledge and perhaps working at a bank (I always wanted to work in Wall Street as well but realizing my grades and upbringing would probably not bode well for that I figure any exposure to institutional trading or money management would be just what I need to get closer to what I have always wanted). After changing my majors around I have been very reluctant to continue studying finance or engineering because of my weaknesses in mathematics and just wishing I could have the brain of my tutor. Just thought I would share my struggle and juxtapose it with your post here above. As a lowley level 1 novice, which struggles with basic multiplication and fractions
I have an Honors BS in Math and I still haven't mastered Level 2, peepoSAD. My alma mater's math department had a sink-swim mentality until actuarial science became a hot job, and they started an introduction on proofwriting and added a finance option to the BS. Maybe someday. Every once in a while, I come across something in engineering and physics math where it would be nice if I was better at proofs. It has been 17 years since I took a proof-based math course.
I took calculus way back when everyone's mother was in diapers. I've recently been brushing up on my calculus and diff EQ 'for fun.' Great video thanks!
This is one of your best videos ever math sorcerer, for a student especially who wants to learn but have not much knowledge or guidance about the chronology of events, this is ONE STOP STATION
.5 but I don’t wanna give up. I know a solid mathematical foundation will help me explore reality in a much deeper way. There are so many topics I wish I could have a greater depth of understanding and math 🧮 will get me there.
I’m sorry but every time I hear talk about wizards I go back to that scene from The Extras where Ian McKellen is explaining that he’s only pretending to be a wizard in LOTR. Good video!
Just Practice R.D Sharma 11th and 12th class math books, you can easily go from level 1 to level 2 . You don't need anything else. The problems are related from one chapter to another.
Regarding geometry, I can highly recommend Elementary Geometry for College Students by Daniel C. Alexander, Geralyn M. Koeberlein. It includes proofs and a tutorial on writing proofs in a geometry context, which IMO is much gentler introduction for the student to get to grips with rather than waiting until Discrete Maths or Number Theory.
Thank you for this. I have been genuinely trying to find books that I need to buy for a long time and mathematics has been a tricky subject. I was about to buy multiple text books, but you saved me that expense.
I am am masters student in maths. I have studied many books in wizard level. like Functional analysis Kreszig, Abstract Algebra Dummit and Foote, Topology Munkres and Measure Theory.
Hyping up life like this is a great way to live. And the best thing is, if one were to learn all of that they would indeed be comparable to a wizard. I mean whats more magical than understanding? Now i wonder how long it would take to read all of that...
Funny how the level 4 books are basically all „raw”. Simple covers, beautiful bindings. No need to call attention to it, for its difficulty level alone can’t be soften by the shinny covers. Raw! 😂
apprentice level! it takes forever to read through one of these books! currently reading "Trigonometry" by Lial, Hornsby, Schneider, & Daniels... and "Discrete Math with Applications" by Susana Epp. My goal is to get through Stewart's calculus by the end of the year!
Level 12 acting representative of the space time continuum, interpreter of curvature in the abstract collective unconscious.. Currently conducting analytical research in escaping this black hole I’m currently stuck in.. fun fact, conducting mathematical research in pitch black darkness is not easy..
Maths is a language just like Tamil, Hindi, English . But it gets spoken within different set of people. It is widely spoken within science and business groups. Science and businesses are money making field. In that way, Maths helps the money making groups.
I need to start with advanced algebra and move forward. I also suck atong division. I can do simple algebra in my head. Im starting to become more interested in math
legit giving these magical titles makes me wanna do maths, they should employ this sorta system in schools aha have a diff theme depending on students preferred option or whatever
Im reading calculus made easy because I didnt do well in college during covid, I feel like I have a strong base with almost all algebra so once I finish calc I cant wait to keep working onward towards proofs😂
Thanks, I am a high school student and I when I watch ur videos I got motivated to do more maths and explore more. Thanks. But at last can u suggest some maths books on computer science. It will be great
Every level books has been consolidated into three year course of BSC maths honours. So if anyone is interested to do further studies on mathematics do opt for BSC mathematics.
Im pretty good at geometry and equations but only when I have a problem to solve. I can build things out of wood and steel with great accuracy. I can brew beers from grain, take gravity readings along the way and can tell you exactly how much alcohol there is by volume. But there us still more useful things I ought to learn.
I will graduate from Apprentice to Magician next year with Analysis and Abstract algebra, after that hopefully I will fulfill my dream and become a Differential Geometer Warlock
Level 5 researcher. When you can pick up a research paper from your area of interest and understand what is going on.
I hope to reach your level one day
This guy is a certified Archwizard with achievement unlock of being single for 30 years straight! And then got the gf🗿(I hope)
@@johnsmithsu310 gave me a chuckle, although I’m just a few years away from that
Level 5: Grand Wizard. Wait a sec... something about that title ain't right...
what if youre the one doing the research paper then
As someone who is primarily self-taught in higher mathematics, I actually started off in the Magician phase with "Book of Proof" and then immediately jumped into Warlock-level texts (e.g., Spivak, Munkres, Loomis and Sternberg, etc.). Because of this, I often (counterintuitively) find myself having an easier time wrapping my brain around the more abstract portions of advanced topics, while becoming instantly lost the moment the author(s) start applying basic trig functions and other such Apprentice-level topics lol
❤️
time to brush up on your fundamentals
Oh dear Lord I thought it was just me.
@@fridging Yuuuup. Time to crack open that big old college algebra and trig text from over a decade ago! Pretty sure it was featured in this video too lol
😂 I keep 'em on tap ... 😅 now that I am older, retention is utilization. Reminds me of the line Trillian used in the original Hitchhiker's Guide to the Galaxy when she applied "mathmagical" skills to fly The Heart of Gold.
Imagine if there was a website that would teach you math from level 1 through 5; I'd subscribe in a hot minute.
Khan Academy
Khan Academy
I always struggled with leaning math in school but I always loved the concepts of mathematics. I would love to be a math wizard! Its always been a weakness of mine. I cant even do math in my head anymore. Never too late to start though! 💪🧠
Probably this is the best youtube channel you can find on youtube about mathematics.
Informative and direct to the point.
Great books,;great video.
SHADOW WIZARD MONEY GANG
we love casting spells
casting sacred arts with the lads (GONE MATHMATIC)
though it's about meta-mathematics. information about information about math, mostly. though the book bug is something we share and enjoy not being alone in. (right?). math is hard but talking about math books is heavenly
Just started my math journey going to be a CS freshman this fall and started studying always hated math all the sudden I’m in love. Will be ordering all these books! Thx.
Meh, CS will be replaced by AI in the next 2 years 🤔
@@EroticOnion23yep, only super high iq deep learning engineers will survive
This is probably one of the rare cases where the sequel is better than the original, I think this video is kind of an Epic-Lore version of "Learn Mathematics from START to FINISH" and I really like this format!
Keep it up man! We really enjoy your content. :)
Definitively.
I’m surprised that basic pre-algebra, calculus 1-3, and differential equations are all in the same level of level 1. Very interesting
He is insane 😂
It is true though, if you calmly think about it. They are the times tables of advanced math. They’re tools so you can do more interesting things.
It's mostly because those are courses that teach your computational math, which is used in most of the more advanced books he mentioned in the higher levels which assume that you already know that math.
Daunting more than interesting imo
@@stereographicdonut This is just wrong. Any undergraduate calculus textbook has lots of proofs, and challenge problems that go beyond just mere calculation. One problem is finding the integral of e^-x^2. Computation, but takes clever set up. Same with differential equations; lots are just computation but it goes far beyond that. Lumping that with the same as pre-algebra is just stupid.
I self taught myself math before I went to college, and I started with calculus, and also started as a 'Wizard,' according to this guy. I have graduate level texts also on quantum mechanics, electromagnetism and general relativity.
Just mere computation, lmao
Hi, I have been watching your videos since last summer. Back then, I could barely simplify algebraic expressions correctly. Now, I made lots of progress and I finished Undergraduate level Physics, and am now at Topology (I finished advanced calculus and complex analysis). It definitely is possible, your advice really helped, thanks 👍💪
WHAT HOW? pls tell me your secret I am preparing for oly and have time crunch
@@thetenrings Hi, in order to be able to master topics quickly is to always have a very solid foundation. For example, when one wants to achieve mastery of calc 1,2 and 3 they must have a solid background in Algebra. And if one wants to learn Differential equations, they must have a solid foundation in Algebra and Calculus. This helps eliminate many problems and can help you understand concepts a lot easier. In order to be able to study Topology for example, one must have a solid foundation in proofs. And whenever you face issues or trouble in understanding a certain topic, always go to different sources (Books, UA-cam, etc) this helps providing a better understanding of the topic from more than one perspective, which will lead to an overall better understanding of the topic 👍
Remember, you may face setbacks and sometimes you may think that you can’t understand a certain topic, my advice is to never give up and stay strong 💪👍👍
hows your progress now? I just stumbled upon this video today actually
I'm either level 3 or 4. Finished undergrad years ago. Took me 5 classes with 1 professor to learn to write proofs. Soon after I took a Logic class and crushed it hard! Felt good. I have my own library of obscure math books I try to learn from. Also books on learning theory. Among other things.
Spent the last decade working as a professional math tutor for all grade levels young and old. Which is awesome as a constant review for me. Deepening my understanding in all undergrad math topics.
My favorite part has been noting down interesting problems the students bring to me and later I either write/derive a proof/formula for the concept that students would not understand, but that technically could do the entire assignment for them if only they were at my level and knew how to drag/drop formulas in microsoft excel, or I would make a dynamically updating model of that problem on Desmos (freaking love Desmos). I often use them to visually show the students how consistent all the details are together.
I've made many models on Desmos that are basically diagrams and calculators for obscure types of problems. I do this for fun. I'd like to be paid for it (I use it for work but im not required to). But math modeling jobs don't really exist without having experience in 100 non-math areas I couldn't care less about. Generic business stuff.
Im not interested in teaching, but my work has been amazingly rewarding in keeping my skills sharp and sharing my passion with people. Meanwhile, I continue to receive automated rejection letters for all the entry level Analyst jobs I apply to because there's just too much competition that getting a simple salary job is a lottery.
It takes 294 years for all 8 planets to orbit the sun once. Now takes 294 and divide it by the planets in order by 1 then 2 then 3 then 4 then 5 then 6 then 7 then 8 and you will get the "fine structure constant" in physics in decimal form.
As someone that has brushed off mathematics and never paid attention to it in school as I hated the teachers I had for it, despite liking mathematics alot. This is a very good video for me and I thank you. I plan on getting into computer science and I want to actually start putting time into maths.
THESE ARE 72 BOOKS IN TOTAL!!!
I can barely go through the current Calculus book which is Calculus by Anton Bivens Davis "early transcendentals".
I will definitely go through all of these books, as many of my fundamentals are heavily lacking.
Thanks a lot for this video!
When I told my friend about this video I told him that you mentioned 30-40 books (I didn't count at that time and I just estimated), he said that this is a "life project" and I couldn't agree more!
Hopefully my friend will accompany on this journey, and hopefully life won't distract me too hard from this.
Btw, I am computer engineering student and I have been watching you for a while now. You cannot simply understand how much I appreciate your work, thanks again!
I'm computer engineering student too man. This guy has single handedly handled all the essential mathematics I need for electromagnetism, data science, engineering math's, discrete math's and also understanding engineering functions
Im a masochist so, Im mathing it out and if you give each book a week window, (which may expand of course as multiple book readings bleed into each other by catagory but treat as an average) you could power through these all very effectively in about.... 1.4~ years. So just under a year and a half. Very doable if you spend a day or week at the start, or a day every month reevaluating your learning system, and learning prep. And this is while giving it room to breath for other things. My suspicion though is there is also a time scale. The first level taking about maybe a week all in all if you power through it, and you could compress the proof training arch to maybe a month if you scedual in time for more practice and bleed it into the 3rd level. I wonder what it takes to get to Level 5?
72…….. definitely plugging this into my cosmoi…..
Bro our college also studies James Stewart's early transdentals 😂🎉
woa the total books of bible as well lol
Im currently at the magician level and I will start taking higher level undergraduate courses next semester. I am starting with advanced calculus, statistics, partial differential equations. I really appreciate your videos and I have purchased some of the books you recommended. Thank you for the amazing content.
I'm at level 2: The Magician...currently focusing my energies on learning Logic, set theory and how to prove things by studying Mathematical Proofs by Polimeni and Zheng. I just finished Book of Proof by Richard Hammock ....wonderful book! And it was free!
I studied from Mathematical proofs too. I remember I got stuck in the modulos thing for a while until I finally understood it. Great book tho.
Almost gave up at warlock. This video is encouraging me to grind again.
I am level 2. Level 1 took me 4 years to get through via self-study. Took a break for a year but I am getting back into the swing of things. Working out of a discrete math book while reviewing all of the level 1 material.
What made you do this?
I'm a nursing student who's planning to shift to architecture and I REALLY miss Mathematics, we have a minor math subject on our 1st sem and it's my fav sub even though I excelled on Anatomy and Physiology. Math really turns my brain engenes, I hope I can reach level 4 in this lifetime
Just wanted to say how much I appreciate your channel!
Your passion for math is truly contagious, and your ability to make mathematics interesting and fun is a rare gift. Thank you, and please keep this kind of awesome content coming!
2:30 apprentice
12:41 magician
16:36 warlock
26:35 wizard
Does somebody know similar videos with the same format but with other topics like philosophy or science etc
I’ve loved mathematics since I was around 4 years old however I’m here for the wizard portion of the video.
You're an inspiration. I'm 44, returning to school for the first time since 1996. I was always good at math and I've found the passion I was had is back. I'm loving it but I am still an apprentice. I've been practicing on Khan Academy, for 2 years and I am taking classes to improve my GED scores to enter Math 112 when I start college, hopefully this fall. I'm not sure if im an intermediate at algebra or barely coming out of beginner. I practice daily and I sleep and eat thinking of math. I am entering the realm of teaching myself precalculus next. I passed my elementary Algebra class last term with n a+ (GED ready classes) but I want to be proficient with equations where I find b in y=5mx+7b. Any recommendations on what areas I should focus on please?
Equation of a straight line, y = mx + b... (m) = gradient of the slope, (b) = y intercept / the place where the straight line crosses the y axis, i hope this helps on a basic level. Also I'd suggest using desmos graphing calculator and putting in variants of y = mx + b.
Khan Academy is very good and it’s free. There are a series of books (with a few free videos) from Art of Problem Solving. These are geared toward people who want more depth and they’re used by many students that do math competitions, so they are very good books. Best of luck to you!
I would be able to build and understand any graph given an equation. Continuous and cases of asymptotes. Logs and exponentials come up often in all your classes past pre-cal and trig. Know those like the back of your hand to be able to use as a tool. Finding zeros, minima, maxima, it’s all worth learning and will help in your courses after. Very important course.
@@tylerwilson2780 Thank you!
@@jenniferh5849 I will check those out, much appreciated.
I need a video like this for all the stem subjects i failed to learn in high school
0:57
Honestly I feel I’m at level 2 when it comes to Math and will be here for a very long time
I'm a highschool drop out, part of why Im a drop out is because teachers didn't have time to explain or repeat anything (and no there were no tutors) so it felt like out of nowhere they we're telling me to do math using foundation that I didn't have and I just quit, got my ged barely cutting it in math.
so this is really helpful as over the years I've become unhappy with my shortcomings in math.
ive seen this video on my recommeneded for months and i always procrastinated watching it, but now is the time
A few suggestions for the 4th level:
-Banach space theory by Fabian et al
-the books on manifolds by Lee
-Real analysis by Folland
I’ve always wanted to study mathematics but unfortunately I’m not smart enough. Give props for people that get it on their own. Respect.
That was a very good journey from literally high school mathematics to just short of actual research level mathematics (1st and second year grad). Good assortment and amazed how books vary considerably in difficulty which is always interesting since the topics are very similar and what is proved is the same; however, the prose and motivation makes it easier to use one book over another. High 3 or low 4 is where I am.
Wow, very nice!! Thank you for this comment:)
@@TheMathSorcerer Reading mathematics and science (particularly physics) books give me a different kind of bliss. Thank you for your guidance and book recommendations.
I see Blitzer's Intermediate Algebra in those books. I have his Intermediate & Introductory Algebra for College Student and I love it. I started Blitzer's Precalculus today. If someone can only have 1 Bitzer book-get his precalculus. I suggest Blitzer's precalculus book for anyone that want's a good and easy Precalculus book too. Blitzer's book Precalculus is perfect for me right now. I worked thought the Essential Pre-Algebra workbook by Chris McCullum in the video about a year ago. Its a good book too. Its good to see the books on Differential Equations in this video. Some online classes I hope to take require a class in differential equations and I was looking for recommendations for textbooks on it.,
Blitzer's way of explaining concepts and relating it to real world problems is beautiful. I also have his PreCal book.
@@benedictlutab2370 Good luck with your own math studies. I hope you succeed😁😁. I like that he offers detailed explanations. I was never good in math in school. I made mostly D's or F's in math in junior high. Then, surprisingly-I made A's or B's for the first 2 months of Basic Algebra in high school. Then I started to fail it again. I wished I'd access to math books and math videos back then like I do now. II also wish I could provide photos of some of the problems I've been working on from Blitzer's precalculus book. I don't want to make myself sound better than I am because I might start to do very poorly on this math. However, so far, I've gotten probably 93 percent of the book correct. But I'm only on chapter 1😁.I'm so happy & proud that I have been able to do this math so far. I think his precalculus is the perfect math book.. Math is fantastic. P.S. I just ordered the book Mathematical Ideas and How To Read & Do Proofs that I saw in the video
I am 32 year old programmer and am very interested in starting my journey into mathematics.
However, in school no attention was paid and was not explained the importance(the unlocked doors math provides in all sorts of disciplines).
Thank you for spreading knowledge!
This is such a fun way to break down different stages of one's mathematical journey! I'll be referring to this video to get me to the next step of mathematical wizard. Great video!
Thank you !
how much time does it take to complte all these book please tell in hours@@TheMathSorcerer
Yeah man. I'm taking a master's in electrical engineering, getting good grades, but I still considering myself as an apprentice. Thanks for this video!
Do you learn more on your own studying mathematics, and just a bit in class. My maths teacher this year is one dimensional in her teachings this year.
Finally !! This was the sort of video. I was looking for
Floundered in wizardry from time to time throughout my ongoing engineering phd (convex analysis, discrete), but mainly stayed in warlock territory. Doubled undergrad pure and applied math, so plenty of warlockian stuff going on! I skipped the magician stage which was definitely a mistake in retrospect!
Idle aside: The only three books I kept from my college career were courses in Numerical Analysis, Real Analysis, and Convex Geometry. (Books effectively in: The maths behind cryptography or other CS. Proving that Calculus Works. And I don't even remember what Convex Geometry was about (besides maybe self explanatory) But the professor taught the class as, okay, these are the axioms/proofs to start you. The rest of this course is y'all generating proofs to further your understanding. GO!. Didn't do great in the course, but it was certainly the most interesting of my college math career.
Level 3 sophomore. In Japan you start off with level 2 as a freshman, 1/3 of the class fails, and you start level 3 in your second year. I love it bcz I hated screwing around in level 1 - so mechanical and boring.
Started watching four years ago.I'm graduating August 13 from Indiana University with a BS in Mathematics. I'd say I'm at level 3
For those who need even a more foundational level than Apprentice (basic maths) - I suggest The Trechtenberg Speed System of Basic Mathematics.
Level 3 at the moment, I think Topology/Measure theory really pushed me to get better at proofs. Currently busy with projective geometry, grassmann varieties, and measure theory
I actually think I should go back and revise multivariable calculus, intro to probability etc. Because I notice I didn’t put in enough of the work when I had those subjects a couple of semesters ago
Im a warlock taking a course in differential geometry in the fall, along with abstract algebra, PDE's, and advanced calculus. I hope it isn't too much for one semester, and that I can grasp the concepts in differential geometry while taking other courses that could be considered co or pre requisites.
I made it to the outskirts of level 2
I had been intimidated by proofs in high school geometry, the only math course I've ever finish with a "C".
Unexpectedly, I was faced with proofs my senior year in college in Discrete Mathematics II. 😮
This time I succeeded in getting an "A" 😀
Having a borrower's card at my university and living near it is quite a benefit. I'm able to borrow these books to learn about mathematics (and other topics) without spending a dime. The time I have to work on math is limited though.
i love this whole thematic so much. im in love with you. one day i will be a grand wizard
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please make a book on what notebooks/sketchpads/tablets you use to write out your problems! thank you for your channel sir! :)
I love the fact that you are talking about it like a role game, I love it and it makes it much more engaging for me!
I think i have level 1 now but I need repeat this level 1 material, cause I forgot some theorems and proofs in geometry . This video is motivating so thank you for this content 😊. (I have written this message by my voice)
Another good book I recommend is Mathematical Methods in the Physical Sciences by Mary Boas. It covers the bulk of computations that physicists make. If you like physics and are used to thinking physically about mathematics, or if you're into mathematics but want see it put into context, i definitely recommend checking it out.
I’m taking an ‘introductory’ engineering statistics course at my university and we are using the Walpole and Myers book from ‘level 3’! No wonder I’m finding it tough
Well, here is my story: I am currently finishing my degree, I am in the last semester of Civil Engineering and throughout my degree I have really liked mathematics and I have done very well in the mathematics subjects that any engineer takes (differential calculus, integral calculus, differential equations, etc). Lately I have been very motivated to do a master's degree in applied mathematics or quantitative finance (It's funny because I'm about to be a Civil Engineer but I want really do different things with my life and I have a different prospect about what I would like to work in), I would like to be able to do it in mathematics but it scares me since I feel that I do not have the mathematical maturity and the foundations to do a master's degree in mathematics (because I come from an engineering degree), in fact, I am currently taking along two subjects from the master's degree in applied mathematics at my university: Advanced Calculus and Nonlinear Numerical Optimization (I'm not in the masters yet but I'm taking those courses as electives), in Advanced Calculus I think I'm doing very well, I was very afraid since it's a prove everything subject and we see topics like introduction to real analysis, basic topology, complex numbers, ... and I had never seen any subject of this type previously and full focused in writing proofs and that kind of stuff.
My idea is to finish and get my Bachelor's degree and then do a master's degree in Applied Mathematics or Quant Finance, because I would like to be part of the front desk of a Hedge Fund or get a decent job related with math in Wall Street because I have becoming very passionate about trading in the recent years and I want to do it right, i.e., from a mathematical perspective and I know that these big companies and hedge funds like to hire people from master's degrees in mathematics or PhD's in math or physics. And I'm not wanting to do a masters because of that, I really want to do the master because I really like math and I enjoy it, as you said: "You choose the mathematics life because you just enjoy the subject; you have to enjoy the subject or else it's just going to eat you alive" and I have felt that while studying for the Advanced Calculus subject because I have spent a lot of hours trying to understand things and adapting to thinking on a different way that I was used to.
I'm planning to start admission process in these universities:
* Stony Brook University
* Baruch College
* New York University
* Rutgers University
Hopefully I get admitted to one of that and start my program in QF Finance/Applied Math. If anyone can give me some advice on which master/university is more appropriate for what I want to do with my life I will really appreciate that! Sorry for the very long comment but I just feel that there are others that could be in the same situation than me.
Best of luck bro 👍
I'm in a similar situation but with a different skill-set. I'm more of a reader and writer and frankly have always hated math but trading (with fairly good success) makes me very VERY interested in progressing in my mathematical knowledge and perhaps working at a bank (I always wanted to work in Wall Street as well but realizing my grades and upbringing would probably not bode well for that I figure any exposure to institutional trading or money management would be just what I need to get closer to what I have always wanted). After changing my majors around I have been very reluctant to continue studying finance or engineering because of my weaknesses in mathematics and just wishing I could have the brain of my tutor. Just thought I would share my struggle and juxtapose it with your post here above. As a lowley level 1 novice, which struggles with basic multiplication and fractions
nice >:]
One of the best video thumbnails I've ever seen. I wish math schools were wizard-theme academies.
I have an Honors BS in Math and I still haven't mastered Level 2, peepoSAD. My alma mater's math department had a sink-swim mentality until actuarial science became a hot job, and they started an introduction on proofwriting and added a finance option to the BS. Maybe someday. Every once in a while, I come across something in engineering and physics math where it would be nice if I was better at proofs. It has been 17 years since I took a proof-based math course.
I took calculus way back when everyone's mother was in diapers. I've recently been brushing up on my calculus and diff EQ 'for fun.' Great video thanks!
This is one of your best videos ever math sorcerer, for a student especially who wants to learn but have not much knowledge or guidance about the chronology of events, this is ONE STOP STATION
One thing I learned in math is to be humble and thorough. Diligence, PRACTICE.
.5 but I don’t wanna give up. I know a solid mathematical foundation will help me explore reality in a much deeper way. There are so many topics I wish I could have a greater depth of understanding and math 🧮 will get me there.
I’m an apprentice level at math mathematics. I really enjoy it and want to be more competent.
I’m sorry but every time I hear talk about wizards I go back to that scene from The Extras where Ian McKellen is explaining that he’s only pretending to be a wizard in LOTR.
Good video!
This was a fun view. I hope it was okay to do math problems while watching😉 I'm still at level one.
awesome:)
Just Practice R.D Sharma 11th and 12th class math books, you can easily go from level 1 to level 2 . You don't need anything else. The problems are related from one chapter to another.
Regarding geometry, I can highly recommend Elementary Geometry for College Students by Daniel C. Alexander, Geralyn M. Koeberlein. It includes proofs and a tutorial on writing proofs in a geometry context, which IMO is much gentler introduction for the student to get to grips with rather than waiting until Discrete Maths or Number Theory.
one of the best videos. on point and the explanation gets better as the video progresses. could have made 4 videos with this content.
thank you for this! definitely a level 1 from a freshman college student. hope to learn more from your channel.
The “everything you need” books are fantastic, I WISH they were made for the higher maths. Check them out for your chem & bio classes
Thank you for this. I have been genuinely trying to find books that I need to buy for a long time and mathematics has been a tricky subject. I was about to buy multiple text books, but you saved me that expense.
I am am masters student in maths. I have studied many books in wizard level. like Functional analysis Kreszig, Abstract Algebra Dummit and Foote, Topology Munkres and Measure Theory.
I’m still an apprentice, but I’m quickly approaching magician level, I get closer every day!
Hyping up life like this is a great way to live. And the best thing is, if one were to learn all of that they would indeed be comparable to a wizard. I mean whats more magical than understanding? Now i wonder how long it would take to read all of that...
Funny how the level 4 books are basically all „raw”. Simple covers, beautiful bindings. No need to call attention to it, for its difficulty level alone can’t be soften by the shinny covers. Raw! 😂
Calculus is an apprentice ? Its over for me.
It's jover
Only gaysdo mathematics
Bro calculus is child's play
It never began 😢
a JEE Advance pass out is already at level 3 and those who got rank under 1000 are nearly at 3.5 level of just nearly 4
You might just have gotten me hooked at math🙂
apprentice level! it takes forever to read through one of these books! currently reading "Trigonometry" by Lial, Hornsby, Schneider, & Daniels... and "Discrete Math with Applications" by Susana Epp. My goal is to get through Stewart's calculus by the end of the year!
Level 12 acting representative of the space time continuum, interpreter of curvature in the abstract collective unconscious..
Currently conducting analytical research in escaping this black hole I’m currently stuck in.. fun fact, conducting mathematical research in pitch black darkness is not easy..
Maths is a language just like Tamil, Hindi, English . But it gets spoken within different set of people. It is widely spoken within science and business groups. Science and businesses are money making field. In that way, Maths helps the money making groups.
You videos are a continuous source of inspiration for those who are light years away from school and still trying to learn math on their own for fun.
Definitely from the perspective of a math major - doesn’t understand math is a tool to achieve things in the real world
Me parece muy interesante la manera como como vos mirás las matemáticas. Tu pasión por matemáticas me motiva a seguir estudiando.
Thanks math sorcerer -San. Iam a cs freshman at uni who has to deal with so much maths this was soo usefull.
I need to start with advanced algebra and move forward. I also suck atong division. I can do simple algebra in my head. Im starting to become more interested in math
legit giving these magical titles makes me wanna do maths, they should employ this sorta system in schools aha have a diff theme depending on students preferred option or whatever
mythologizing is a really effective tool. it definitely could be applied more within education, but maybe outside the common curriculum lol
Very interesting. I've never heard of Measure Theory and I don't think I'll ever be a Wizard! At least there was no Grassman Algebra.
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Thanks for sharing, I always needed a good book to learn proofs. I hope I have the motivation to get to the end.
Im reading calculus made easy because I didnt do well in college during covid, I feel like I have a strong base with almost all algebra so once I finish calc I cant wait to keep working onward towards proofs😂
It's sad youtube doesn't have a super mega like button because this video is the best.
I love this and definitely gonna buy calculus and some higher algebra also geometry for advancement thanks you for this video ❤❤
Thanks, I am a high school student and I when I watch ur videos I got motivated to do more maths and explore more. Thanks. But at last can u suggest some maths books on computer science. It will be great
Thank you for this video. I think I will buy the book on proofs you recommend. Yes Dover books rock.
These books are amazing and congratulations of making you dream become true. I am now seeing math as a fun hobby
Every level books has been consolidated into three year course of BSC maths honours.
So if anyone is interested to do further studies on mathematics do opt for BSC mathematics.
Im pretty good at geometry and equations but only when I have a problem to solve. I can build things out of wood and steel with great accuracy. I can brew beers from grain, take gravity readings along the way and can tell you exactly how much alcohol there is by volume. But there us still more useful things I ought to learn.
math sorcerer thats so cool how you break it down, so cool how you use math vocab,
Could you make a video about the best online math learning resources?
Innovative video nice work
I’d for sure feel like I took the limitless pill after learning everything here🔥
Finally something to get me excited for math
The thumbnail is fire!!
Create video on becoming physics wizard
This guy has unlocked The hidden level math sorcerer
I will graduate from Apprentice to Magician next year with Analysis and Abstract algebra, after that hopefully I will fulfill my dream and become a Differential Geometer Warlock