Master Mathematics and Become a Wizard

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  • เผยแพร่เมื่อ 25 เม.ย. 2023
  • 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
    Essential Pre-algebra: amzn.to/3oGxUPn
    Pre-algebra & Algebra 1: amzn.to/3oKI0Pc
    Schaum's Geometry: amzn.to/3Ni065p
    Everything You Need to Ace Geometry: amzn.to/40KnuLX
    Everything You Need to Ace Math: amzn.to/3Lvj0V8
    Basic Mathematics: amzn.to/423zysW
    Elementary Statistics: amzn.to/3oK7Bry
    Mathematical Ideas: amzn.to/3ACaCwA
    Schaum's Probability & Statistics: amzn.to/40H602Y
    Algebra & Trigonometry: amzn.to/3oK7Zq0
    Trigonometry: amzn.to/3navKXV
    Intermediate Algebra: amzn.to/3oQ5vpZ
    Trigonometry Workbook: amzn.to/3HgTFf5
    Intermediate Algebra by Angel: amzn.to/41ZgbB9
    Algebra Essentials Practice Workbook: amzn.to/40LH4Y6
    College Algebra Essentials: amzn.to/3LvHYDS
    Intermediate Algebra by Miller, et. al amzn.to/3AwEz1f
    Intermediate Algebra by Leithold: amzn.to/448PYSi
    Calculus by Lang: amzn.to/446RwfB
    Differential Equations with Linear Algebra amzn.to/41IEBPq
    Calculus for the Practical Man: amzn.to/3HhM9QW
    Essential Calculus Skills Practiced Workbook: amzn.to/3AxIPOc
    Anton Calculus A New Horizon: amzn.to/3V8by5A
    Differential Equations by Zill: amzn.to/3Aydb2W
    Calculus by Swokowski: amzn.to/40BBLKQ
    Calculus by Leithold: amzn.to/425VMdP
    Calculus by Ellis & Gulick: amzn.to/3oO15jG
    Level 2: The Magician
    A Transition to Advanced Mathematics by Chartrand, Polimeni, Zhang: amzn.to/3V8drPI
    Proofs by Cummings: amzn.to/3n0DOul
    Book of Proof: amzn.to/3NhddUw
    How to Prove It: amzn.to/3oKnpun
    How to Read and Do Proofs: amzn.to/3oQ8qyX
    Introduction to Abstract Mathematics: amzn.to/3VdVUFU
    Level 3: The Warlock
    Real Analysis by Cummings: amzn.to/3LxBpjY
    Discrete Mathematical Structures: amzn.to/449NaEP
    Discrete Mathematics by Balakrishnan: amzn.to/3AvlNXU
    Concrete Mathematics by Knuth, Graham, and Patashnik: amzn.to/3AuJOhU
    Advanced Calculus by Buck: amzn.to/3HmbWYn
    Partial Differential Equations by Strauss: amzn.to/3HjsYGJ
    Partial Differential Equations by Greenspan: amzn.to/3V7uUI1
    Partial Differential Equations Zachmanoglou: amzn.to/3L3mKvC
    Analysis by Bartle and Sherbert amzn.to/3Lb3Ym6
    Probability Freund: amzn.to/3AzJu1A
    Number Theory by Long: amzn.to/3VhuBKQ
    Probability (Walpole): amzn.to/3AyyhhG
    Analysis (Abbot): amzn.to/3LwoD5k
    Numerical Analysis (Gerald): amzn.to/41KSFIk
    Numerical Analysis (Acton): amzn.to/3NzJh6j
    Advanced Calculus (Fitzpatrick): amzn.to/44aNGSL
    Linear Algebra by Hoffman, Kunze: amzn.to/3Nn8X61
    Calculus by Spivak: amzn.to/3L9OHll
    Complex Analysis: amzn.to/3V7Ld7D
    Abstract Algebra by Beachy, Blair: amzn.to/3LcsR0F
    Linear Algebra by Friedberg: amzn.to/3AwcPtt
    Probability: amzn.to/40CC5ZX
    Abstract algebra by Herstein: amzn.to/3L9uxrW
    Principles of Mathematical Analysis: amzn.to/3AAKCSx
    Abstract Algebra by Saracino: amzn.to/423SZl4
    Topology by Munkres: amzn.to/421uO6Z
    Advanced Calculus by Hildebrand: amzn.to/3n87IwK
    Naive Set Theory: amzn.to/44alobh
    Engineering Mathematics by Zill: amzn.to/3Leq7Qk
    Analysis by Kolmogorov: amzn.to/3NcI9VT
    Abstract Algebra by Fraleigh: amzn.to/3Av4N4j
    Functions of Several Variables by Flemming: amzn.to/3nbcE40
    Level 4: The Wizard
    Measury Theory by Halmos: amzn.to/3HggI9T
    Functional by Narici, Bachman: amzn.to/424cY3o
    Functional by Rudin: amzn.to/3V75Dhb
    Functional by Kreyszig: amzn.to/44aR4Nt
    Dummit and Foote: amzn.to/40QlmCA
    Real and Complex Analysis by Rudin: amzn.to/3LyF3dt
    Algebra by Hungerford: amzn.to/3ACLDcw
    These are my affiliate links. As an Amazon Associate I earn from qualifying purchases.
    Udemy Courses Via My Website: mathsorcerer.com
    Consider becoming a member of the channel: / @themathsorcerer
    My GoFundMe Page: www.gofundme.com/f/support-ma...
    My Patreon Page: / themathsorcerer
    Donate via PayPal: paypal.com/donate/?cmd=_s-xcl...
    Useful Math Supplies amzn.to/3Y5TGcv
    My Recording Gear amzn.to/3BFvcxp
    (these are my affiliate links)

ความคิดเห็น • 644

  • @ianmorgan7906
    @ianmorgan7906 ปีที่แล้ว +3028

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

    • @jsusbdndk1362
      @jsusbdndk1362 ปีที่แล้ว +135

      I hope to reach your level one day

    • @johnsmithsu310
      @johnsmithsu310 ปีที่แล้ว +113

      This guy is a certified Archwizard with achievement unlock of being single for 30 years straight! And then got the gf🗿(I hope)

    • @mond2440
      @mond2440 ปีที่แล้ว +17

      @@johnsmithsu310 gave me a chuckle, although I’m just a few years away from that

    • @Podzhagitel
      @Podzhagitel ปีที่แล้ว +42

      Level 5: Grand Wizard. Wait a sec... something about that title ain't right...

    • @Jigachader
      @Jigachader ปีที่แล้ว +2

      what if youre the one doing the research paper then

  • @Cythros
    @Cythros ปีที่แล้ว +1095

    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

    • @TheMathSorcerer
      @TheMathSorcerer  ปีที่แล้ว +84

      ❤️

    • @fridging
      @fridging ปีที่แล้ว +68

      time to brush up on your fundamentals

    • @sixhundredandfive7123
      @sixhundredandfive7123 ปีที่แล้ว +37

      Oh dear Lord I thought it was just me.

    • @Cythros
      @Cythros ปีที่แล้ว +24

      @@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

    • @MrAlubenco
      @MrAlubenco ปีที่แล้ว +7

      😂 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.

  • @JesusIsMySaviorILoveJesus
    @JesusIsMySaviorILoveJesus ปีที่แล้ว +675

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

    • @LNVACVAC
      @LNVACVAC ปีที่แล้ว +52

      He is insane 😂

    • @ABC-jq7ve
      @ABC-jq7ve ปีที่แล้ว +142

      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.

    • @stereographicdonut
      @stereographicdonut ปีที่แล้ว +43

      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.

    • @geigercourtier
      @geigercourtier ปีที่แล้ว +23

      Daunting more than interesting imo

    • @pyropulseIXXI
      @pyropulseIXXI ปีที่แล้ว +17

      @@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

  • @anthonyortiz7924
    @anthonyortiz7924 5 หลายเดือนก่อน +8

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

  • @trenza2566
    @trenza2566 ปีที่แล้ว +151

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

    • @ingridRekers
      @ingridRekers 8 หลายเดือนก่อน +5

      Does somebody know similar videos with the same format but with other topics like philosophy or science etc

  • @amineamin6902
    @amineamin6902 ปีที่แล้ว +87

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

    • @emale03
      @emale03 ปีที่แล้ว +1

      Great books,;great video.

    • @stoppls1709
      @stoppls1709 ปีที่แล้ว +5

      SHADOW WIZARD MONEY GANG

    • @faeancestor
      @faeancestor ปีที่แล้ว +4

      we love casting spells

    • @commenteroftruth9790
      @commenteroftruth9790 11 หลายเดือนก่อน +1

      casting sacred arts with the lads (GONE MATHMATIC)

  • @techiesithastobetechies.8531
    @techiesithastobetechies.8531 ปีที่แล้ว +152

    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!

    • @adiankunda204
      @adiankunda204 ปีที่แล้ว +9

      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

    • @StrongLoneWolfPack
      @StrongLoneWolfPack ปีที่แล้ว +3

      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?

    • @tzaphkielmelekiyah1518
      @tzaphkielmelekiyah1518 ปีที่แล้ว

      72…….. definitely plugging this into my cosmoi…..

    • @Thanos.........
      @Thanos......... 5 หลายเดือนก่อน

      Bro our college also studies James Stewart's early transdentals 😂🎉

    • @janelledizoncaro5008
      @janelledizoncaro5008 2 หลายเดือนก่อน

      woa the total books of bible as well lol

  • @guillermohernandez5268
    @guillermohernandez5268 ปีที่แล้ว +81

    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. :)

  • @mathphys9078
    @mathphys9078 ปีที่แล้ว +51

    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
      @thetenrings ปีที่แล้ว +5

      WHAT HOW? pls tell me your secret I am preparing for oly and have time crunch

    • @mathphys9078
      @mathphys9078 ปีที่แล้ว +8

      @@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, TH-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 💪👍👍

  • @captainrutabeggacrossout8482
    @captainrutabeggacrossout8482 ปีที่แล้ว +12

    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! 💪🧠

  • @LordZombieZanetta
    @LordZombieZanetta ปีที่แล้ว +267

    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?

    • @kierhudson1328
      @kierhudson1328 ปีที่แล้ว +11

      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.

    • @jenniferh5849
      @jenniferh5849 ปีที่แล้ว +9

      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!

    • @tylerwilson2780
      @tylerwilson2780 ปีที่แล้ว +2

      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.

    • @LordZombieZanetta
      @LordZombieZanetta ปีที่แล้ว +1

      @@tylerwilson2780 Thank you!

    • @LordZombieZanetta
      @LordZombieZanetta ปีที่แล้ว +1

      @@jenniferh5849 I will check those out, much appreciated.

  • @chobitsotaku5613
    @chobitsotaku5613 11 หลายเดือนก่อน +9

    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.

  • @Journey1107
    @Journey1107 ปีที่แล้ว +9

    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.

    • @EroticOnion23
      @EroticOnion23 ปีที่แล้ว +2

      Meh, CS will be replaced by AI in the next 2 years 🤔

    • @IrishIwasJewish
      @IrishIwasJewish 4 หลายเดือนก่อน

      ​@@EroticOnion23yep, only super high iq deep learning engineers will survive

  • @Tanishk4156
    @Tanishk4156 ปีที่แล้ว +32

    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!

  • @Taigokumaru
    @Taigokumaru ปีที่แล้ว +35

    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.

  • @saturn5732
    @saturn5732 ปีที่แล้ว +37

    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.

  • @marcovalentinoalvarado3290
    @marcovalentinoalvarado3290 ปีที่แล้ว

    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!

  • @daniellindner826
    @daniellindner826 ปีที่แล้ว +7

    Finally !! This was the sort of video. I was looking for

  • @reetan3830
    @reetan3830 ปีที่แล้ว +3

    thank you for this! definitely a level 1 from a freshman college student. hope to learn more from your channel.

  • @suic86
    @suic86 ปีที่แล้ว +6

    I like this type of videos. You're doing a great job! Thanks!

  • @TylerAStinson
    @TylerAStinson 12 วันที่ผ่านมา +1

    0:57
    Honestly I feel I’m at level 2 when it comes to Math and will be here for a very long time

  • @TheSnakeEyezz
    @TheSnakeEyezz ปีที่แล้ว +13

    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!

    • @TheMathSorcerer
      @TheMathSorcerer  ปีที่แล้ว +4

      Thank you !

    • @tanmaybhomle9407
      @tanmaybhomle9407 7 หลายเดือนก่อน

      how much time does it take to complte all these book please tell in hours@@TheMathSorcerer

  • @Hesselaer
    @Hesselaer ปีที่แล้ว +12

    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

  • @pranavdev368
    @pranavdev368 ปีที่แล้ว

    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

  • @dazingamaine4318
    @dazingamaine4318 ปีที่แล้ว +1

    one of the best videos. on point and the explanation gets better as the video progresses. could have made 4 videos with this content.

  • @yovelinpanayotov7973
    @yovelinpanayotov7973 10 หลายเดือนก่อน

    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!

  • @FraterCalmStreet
    @FraterCalmStreet ปีที่แล้ว

    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.

  • @JG27Korny
    @JG27Korny ปีที่แล้ว

    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.

  • @randomcandy1000
    @randomcandy1000 ปีที่แล้ว +4

    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.

  • @firstclass3736
    @firstclass3736 6 หลายเดือนก่อน

    Thanks for sharing, I always needed a good book to learn proofs. I hope I have the motivation to get to the end.

  • @amutagodswill
    @amutagodswill ปีที่แล้ว

    Thank YOU Professor... You are SIMPLY amazing.

  • @YTSPoster
    @YTSPoster ปีที่แล้ว

    Dude your channel is blowing up, very cool to see :) keep up the great content

  • @donaldoji6399
    @donaldoji6399 ปีที่แล้ว

    That was really entertaining! I am really addicted to your videos 😀

  • @jksmusicstudio1439
    @jksmusicstudio1439 ปีที่แล้ว +3

    A few suggestions for the 4th level:
    -Banach space theory by Fabian et al
    -the books on manifolds by Lee
    -Real analysis by Folland

  • @SamyarBorder
    @SamyarBorder ปีที่แล้ว +1

    im not planing to go to uni but I'm definitely going to keep studying in different majors just because I love any major. this video is an awesome help for me thank you 😀

  • @carterwoodson8818
    @carterwoodson8818 ปีที่แล้ว +1

    Loving this video and the sound effects haha thank you Math Sorcerer!

  • @tethyn
    @tethyn ปีที่แล้ว +10

    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
      @TheMathSorcerer  ปีที่แล้ว +2

      Wow, very nice!! Thank you for this comment:)

    • @iamwhatiam5091
      @iamwhatiam5091 ปีที่แล้ว

      ​@@TheMathSorcerer Reading mathematics and science (particularly physics) books give me a different kind of bliss. Thank you for your guidance and book recommendations.

  • @jonathanpopham5483
    @jonathanpopham5483 หลายเดือนก่อน +1

    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

  • @RottingFarmsTV
    @RottingFarmsTV ปีที่แล้ว +1

    Almost gave up at warlock. This video is encouraging me to grind again.

  • @jonathanray4598
    @jonathanray4598 ปีที่แล้ว +2

    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.

  • @Mello_me
    @Mello_me ปีที่แล้ว +1

    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.

  • @calsnidely2915
    @calsnidely2915 ปีที่แล้ว +2

    I need a video like this for all the stem subjects i failed to learn in high school

  • @xaviergonzalez5828
    @xaviergonzalez5828 ปีที่แล้ว +2

    Thanks Sir as always!

  • @josedaniel9263
    @josedaniel9263 6 หลายเดือนก่อน

    Very good video! 👍

  • @manasdeepbehura42
    @manasdeepbehura42 ปีที่แล้ว +1

    I love this and definitely gonna buy calculus and some higher algebra also geometry for advancement thanks you for this video ❤❤

  • @williantheodoro2608
    @williantheodoro2608 ปีที่แล้ว +4

    Me parece muy interesante la manera como como vos mirás las matemáticas. Tu pasión por matemáticas me motiva a seguir estudiando.

  • @nexusnexus9221
    @nexusnexus9221 ปีที่แล้ว +1

    Thank you for this video. I think I will buy the book on proofs you recommend. Yes Dover books rock.

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 ปีที่แล้ว +8

    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!

    • @lucianopollicino
      @lucianopollicino ปีที่แล้ว

      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.

  • @actizhang5586
    @actizhang5586 5 หลายเดือนก่อน

    omg thank you this video is so helpful!!!!🎉🎉

  • @anniesizemore3344
    @anniesizemore3344 ปีที่แล้ว +7

    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
      @benedictlutab2370 ปีที่แล้ว +1

      Blitzer's way of explaining concepts and relating it to real world problems is beautiful. I also have his PreCal book.

    • @anniesizemore3344
      @anniesizemore3344 ปีที่แล้ว +1

      @@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

  • @jeremyesser797
    @jeremyesser797 ปีที่แล้ว +5

    please make a book on what notebooks/sketchpads/tablets you use to write out your problems! thank you for your channel sir! :)

  • @gururam1711
    @gururam1711 ปีที่แล้ว

    Thanks math sorcerer -San. Iam a cs freshman at uni who has to deal with so much maths this was soo usefull.

  • @Javantea
    @Javantea ปีที่แล้ว +1

    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.

  • @SabrinaMarquez-rw2xb
    @SabrinaMarquez-rw2xb 10 หลายเดือนก่อน +3

    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.

    • @nefspitou
      @nefspitou 5 หลายเดือนก่อน

      What made you do this?

  • @vivneb
    @vivneb ปีที่แล้ว +2

    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

  • @prasad4844
    @prasad4844 3 หลายเดือนก่อน

    Awesome content ❤ love this as a wanna be math expert!!😊

  • @soobinsfavoritebread2341
    @soobinsfavoritebread2341 11 หลายเดือนก่อน +2

    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

  • @RafaelToscano
    @RafaelToscano 7 หลายเดือนก่อน +1

    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! 😂

  • @eflat6522
    @eflat6522 ปีที่แล้ว +32

    This was a fun view. I hope it was okay to do math problems while watching😉 I'm still at level one.

  • @Way02infinity
    @Way02infinity ปีที่แล้ว +1

    Great collection....
    ❤️

  • @mohamadhijazi2072
    @mohamadhijazi2072 ปีที่แล้ว +3

    I’ve loved mathematics since I was around 4 years old however I’m here for the wizard portion of the video.

  • @mudspringer
    @mudspringer 3 หลายเดือนก่อน

    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!

  • @michaelb6349
    @michaelb6349 ปีที่แล้ว +3

    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!

  • @daniiltonkonog186
    @daniiltonkonog186 ปีที่แล้ว +5

    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)

  • @edgarperez8949
    @edgarperez8949 ปีที่แล้ว +3

    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!

  • @SimicChameleon
    @SimicChameleon ปีที่แล้ว +1

    These books are amazing and congratulations of making you dream become true. I am now seeing math as a fun hobby

  • @elijahroselinsky2744
    @elijahroselinsky2744 6 หลายเดือนก่อน

    Level 2 and working up!

  • @jujo_po
    @jujo_po ปีที่แล้ว +25

    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.

    • @studyaccount6969
      @studyaccount6969 ปีที่แล้ว +2

      Best of luck bro 👍

    • @AnthonyDoesYouTube
      @AnthonyDoesYouTube ปีที่แล้ว +4

      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

    • @commenteroftruth9790
      @commenteroftruth9790 11 หลายเดือนก่อน +1

      nice >:]

  • @kaiservenom270
    @kaiservenom270 ปีที่แล้ว

    One of the best video thumbnails I've ever seen. I wish math schools were wizard-theme academies.

  • @Crimson_Thief007
    @Crimson_Thief007 ปีที่แล้ว

    I’m still an apprentice, but I’m quickly approaching magician level, I get closer every day!

  • @abhaydhiman1920
    @abhaydhiman1920 ปีที่แล้ว +1

    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

  • @lucianocastillo694
    @lucianocastillo694 ปีที่แล้ว

    I’d for sure feel like I took the limitless pill after learning everything here🔥

  • @iamnotuta2658
    @iamnotuta2658 ปีที่แล้ว +4

    Imagine studying all your life to be a wizard, only to die instantly in one hit by a dnd goblin.

  • @JackFalltrades
    @JackFalltrades 11 หลายเดือนก่อน

    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" 😀

  • @CarlosAntunesZ
    @CarlosAntunesZ ปีที่แล้ว +3

    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!

    • @jaywalkercrew4446
      @jaywalkercrew4446 ปีที่แล้ว +1

      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.

  • @rich_in_paradise
    @rich_in_paradise ปีที่แล้ว +10

    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.

  • @piegames1197
    @piegames1197 ปีที่แล้ว +2

    math sorcerer thats so cool how you break it down, so cool how you use math vocab,

  • @TheKidshaleen
    @TheKidshaleen ปีที่แล้ว +1

    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!

  • @ABC-jq7ve
    @ABC-jq7ve ปีที่แล้ว +1

    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.

  • @mightytitan1719
    @mightytitan1719 ปีที่แล้ว +1

    Now this is what i was asking for

  • @KumaKaori
    @KumaKaori 9 หลายเดือนก่อน

    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.

  • @abdalian37
    @abdalian37 ปีที่แล้ว +2

    Thanks 👍

  • @kimlionelrivera2224
    @kimlionelrivera2224 ปีที่แล้ว +1

    I love this video, thank you. Anyone know if there's a similar video for physics?

  • @tristanmoller9498
    @tristanmoller9498 ปีที่แล้ว

    Damn haha. I’m in my 4th Semester of my mechanical engineering bachelors. I guess that makes me level 1. All of our proofs were simple.
    The only problem I have is that there is soooo much to learn, I just can’t decide. I almost switched to a math Bachelors in my second semester, enjoyed that course so much. I also love engineering, especially automatic controlling and robotics and AI. I guess Math is going to have to stay a hobby for now. Thanks so much for this video, I know what to get into now.

  • @12degreesnowman11
    @12degreesnowman11 ปีที่แล้ว

    One thing I learned in math is to be humble and thorough. Diligence, PRACTICE.

  • @funwithbrittanyofficial
    @funwithbrittanyofficial ปีที่แล้ว +3

    The “everything you need” books are fantastic, I WISH they were made for the higher maths. Check them out for your chem & bio classes

  • @anthonyanderson4039
    @anthonyanderson4039 ปีที่แล้ว

    Finally something to get me excited for math

  • @kubetail12
    @kubetail12 6 หลายเดือนก่อน

    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.

  • @sup3637
    @sup3637 11 หลายเดือนก่อน

    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.

  • @matrixman8582
    @matrixman8582 ปีที่แล้ว +7

    Hey Math Sorcerer. Do you have any recommended material for learning chemistry? Most of your books and topics cover math and physics, but gen chem especially is also mathematically intensive. I'd love to hear more about your experience with this subject during your educational career, if there is any.

  • @tanakajura7283
    @tanakajura7283 ปีที่แล้ว +1

    Great Video! I'd love to know your thoughts on the 3 volumes of principia mathematica, I've been contemplating on reading it but it seems verbose. Where would you rank it on the 4 levels you described above?

  • @philosophyoftrucking
    @philosophyoftrucking 5 หลายเดือนก่อน

    I’m an apprentice level at math mathematics. I really enjoy it and want to be more competent.

  • @Ender.wigginn
    @Ender.wigginn ปีที่แล้ว

    I took a PDE course a few years ago, the guy teaching it was really cool but he was also *very old* like I think he was in his 80s. He used Strauss as well for the text, great book, I'd love to own a hard copy, but very hard to find. The prof scanned pages and it was pretty rough. Eventually I found a full PDF of the book (sorry Strauss and publishers). They should def look at re-printing it.

  • @kevinb1594
    @kevinb1594 11 หลายเดือนก่อน +1

    For those who need even a more foundational level than Apprentice (basic maths) - I suggest The Trechtenberg Speed System of Basic Mathematics.

  • @vinayakrvijay9632
    @vinayakrvijay9632 ปีที่แล้ว +1

    You might just have gotten me hooked at math🙂

  • @niksatt4843
    @niksatt4843 ปีที่แล้ว

    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

  • @mosesmathias7708
    @mosesmathias7708 ปีที่แล้ว +2

    This guy has unlocked The hidden level math sorcerer

  • @user-qv2gq8kv6s
    @user-qv2gq8kv6s ปีที่แล้ว +1

    The thumbnail is fire!!

  • @83jbbentley
    @83jbbentley ปีที่แล้ว +1

    I think this is the most important video you’ve made Wizard.

  • @publicopinion3596
    @publicopinion3596 11 หลายเดือนก่อน

    I'm not an apprentice more so math literate lol But I love anthropology and even though not a lot math is employed in the discipline like in the natural sciences it still uses it in the quantitative aspect of the research. Either way thanks for the book recommendation!