Master Mathematics and Become a Wizard

You can break down all of mathematics into four levels: The Apprentice, The Magician, The Warlock, and The Wizard. This video will explain what these levels are and how to progress through them so that you can master all of mathematics.

Here are some of the books shown in the video in the order that they appear.

Level 1: The Apprentice

Level 2: The Magician

Level 3: The Warlock

Level 4: The Wizard

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[ianmorgan]

Level 5 researcher. When you can pick up a research paper from your area of interest and understand what is going on.

[Cythros]

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

[JesusIsMySaviorILoveJesus]

I’m surprised that basic pre-algebra, calculus 1-3, and differential equations are all in the same level of level 1. Very interesting

[guillermohernandez]

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. :)

[captainrutabeggacrossout]

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! 💪🧠

[amineamin]

Probably this is the best youtube channel you can find on youtube about mathematics.
Informative and direct to the point.

[anthonyortiz]

Imagine if there was a website that would teach you math from level 1 through 5; I'd subscribe in a hot minute.

[techiesithastobetechies.]

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!

[LordZombieZanetta]

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?

[LaithMMA]

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 👍💪

[Journey]

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.

[trenza]

2:30 apprentice
12:41 magician
16:36 warlock
26:35 wizard

[Taigokumaru]

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.

[saturn]

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.

[Tanishk]

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!

[chobitsotaku]

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.

[TheSnakeEyezz]

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!

[martinhawrylkiewicz]

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!

[jonathanray]

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.

[tethyn]

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.