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Essential Maths For Beginner Gamedevs - Which Math is Useful?
There's plenty of tutorials on learning maths for gamedev, but why and where is this maths actually useful? Here, I try to give examples of how and when different types of mathematics pop-up, and how they are actually used when making a game. I have added links throughout the video and below if you want to learn these topics in more detail, but hopefully this will make you aware of the different areas of maths used in gamedev!
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Tutorials and Learning Resources for each topic covered (I have tried to include one video, one blog and one interactive thing to account for different types of learners!):
Numbers
+, -, x and ÷ are used frequently! The good thing here is that even if you aren't the best at doing sums quickly, the computer is! As long as you recognise when you should be using each operation, you'll be fine (e.g. subtract some health when your player takes damage).
Brush up on BODMAS! It's important to know what order more complicated calculations will calculate in - while remembering that you can use brackets to specifically order the way a sum will resolve: www.skillsyouneed.com/num/bodmas.html
Discrete Maths
An umbrella term for lots of maths. Wikipedia splits it into 17 sub-topics (which are all individually still very broad): en.wikipedia.org/wiki/Discrete_mathematics#Topics_in_discrete_mathematics
You will almost definitely do a discrete maths course at university, if you do CompSci or a related degree. You could learn about any of these sub-topics for years.
Logic
Video tutorial on boolean logic (its for GMS2, but the logic and concepts apply universally): th-cam.com/video/QmrOYwN10bQ/w-d-xo.html&ab_channel=SamSpadeGameDev
Coordinate Systems
Most 2D games use an x and y-axis - 3D games will use the z-axis too. Here's what I mean when some are inverted: FreyaHolmer/status/644881436982575104
Video on non-Euclidean games: th-cam.com/video/lFEIUcXCEvI/w-d-xo.html
Blog on non-Euclidian games: zenorogue.medium.com/non-euclidean-geometry-and-games-fb46989320d4
Trigonometry
Tutorial on angles (also vectors and some other topics too): th-cam.com/video/DPfxjQ6sqrc/w-d-xo.html
An interactive visualisation of trig: www.mathsisfun.com/algebra/trig-interactive-unit-circle.html
Pythagoras Theorem
Video tutorial: th-cam.com/video/uthjpYKD7Ng/w-d-xo.html&ab_channel=MathHelp.com
Article/guide: www.mathsisfun.com/pythagoras.html
Vectors
Video: th-cam.com/video/_OqwrxTtThY/w-d-xo.html&ab_channel=ThePhantomGameDesignsThePhantomGameDesigns
Professor Dave's intro to vectors: th-cam.com/video/KBSCMTYaH1s/w-d-xo.html&ab_channel=ProfessorDaveExplainsProfessorDaveExplainsVerified
Blog/guide: www.gamasutra.com/blogs/MarcBeaujean/20200518/363095/Vector_Maths_for_Game_Dev_Beginners.php
Vector Normalisation
Khan Academy blog with interactive example at the bottom: www.khanacademy.org/computing/computer-programming/programming-natural-simulations/programming-vectors/a/vector-magnitude-normalization
Video tutorial on normalisation: th-cam.com/video/7fn03DIW3Ak/w-d-xo.html&ab_channel=FireflyLecturesFireflyLectures
Dot Product
Dot product video tutorial: th-cam.com/video/BcxfxvYCL1g/w-d-xo.html&ab_channel=LookingGlassUniverseLookingGlassUniverse
Codeer’s Video: th-cam.com/video/2E_Kx9ROX08/w-d-xo.html&ab_channel=CodeerCodeer
Interactive dot product visualisation: maththebeautiful.com/dot-product/
Cross Product (Advanced Topic)
Video explanation of the cross product by Professor Dave: th-cam.com/video/gPnWm-IXoAY/w-d-xo.html&ab_channel=ProfessorDaveExplains
Article/guide on cross product from Maths is Fun: www.mathsisfun.com/algebra/vectors-cross-product.html
Visualisation: www.mathsisfun.com/algebra/vectors-cross-product.html
Quaternions (Advanced Topic)
Blog: developerblog.myo.com/quaternions/
Video Tutorial: th-cam.com/video/4mXL751ko0w/w-d-xo.html&ab_channel=Sutrabla
Graph Theory
This is a broad topic. Wikipedia gives some good insight into the variety of uses: en.wikipedia.org/wiki/Graph_theory#Applications
Tutorial series on finite state machines by MATLAB: th-cam.com/video/-Yicg2TTMPs/w-d-xo.html&ab_channel=MATLABMATLAB
Interactive Path Finding: qiao.github.io/PathFinding.js/visual/
---------
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Follow me on twitter: madbookstudios
Join the madbook discord: discord.gg/JYqFddm
Check all my FREE games on itch: madbookstudios.itch.io/
---------
Timestamps
0:00 - Intro
0:30 - The Problem
1:15 - The Solution
1:52 - Calculus Not Needed for Making Games
2:19 - Numbers
3:38 - Discrete Maths
4:44 - Logic
6:40 - Coordinate Systems
8:09 - Trigonometry
10:17 - Pythagoras Theorem
10:58 - Vectors
12:51 - Vector Normalisation
14:31 - Dot Product
16:01 - Cross Product
16:51 - Quaternions
18:26 - Graph Theory
19:42 - Recap
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#math #gamedev #mathingames #indiedev #gamedevmath
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ความคิดเห็น

  • @HalkerVeil
    @HalkerVeil วันที่ผ่านมา

    I would add Probability and Statistics. Anything with noise. Perlin specifically.

  • @thedude4795
    @thedude4795 4 วันที่ผ่านมา

    can some one say what games are displayed from 1:03 to 1:39 ? The side scrolling shooter on the river, the knight jumping on the dragon, and the 3d platformer where they jump and race to the finish? Edit: please also, if you know, the jump to the finish at 3:26

  • @aes_ria
    @aes_ria 13 วันที่ผ่านมา

    Lowkey inspiring gamedev,, I've been trying to run away from complex math but it keeps following me... I think it's cool but i don't have enough brain cells to understand shiii

  • @phlipclip5097
    @phlipclip5097 17 วันที่ผ่านมา

    11:03 You use Trackmania footage and didn't use a cool Press W (Forward) map. Missed Opportunity

  • @Safir234
    @Safir234 25 วันที่ผ่านมา

    Peak

  • @JoeChillius
    @JoeChillius 28 วันที่ผ่านมา

    I watched your video getting ready for a college class, and they then used your video, so thank you I guess, lol

  • @helluci6449
    @helluci6449 29 วันที่ผ่านมา

    so loud music..

  • @springcar
    @springcar หลายเดือนก่อน

    hey northwest same amount and northeast same amount is not "similar to each others" in most cases. so that branded " dot product" math fools us. and with calculating amounts of two actors compass directions ( even if you need know two directions similarity amount) could give better results

  • @springcar
    @springcar หลายเดือนก่อน

    hey i like to motivate you show more easy math logics to game codeing, and young learn create easy games and even easiest 3D engine . you can do it . rockknnnRoll !

  • @springcar
    @springcar หลายเดือนก่อน

    your logic of "orange ball going too far northeast directionn first" ( which feeels like error because it go distance more than blue ball) . and then after error and consumed cpu processing power you lessened the amount of "too far" with extra processing command to cpu. the trendified "normalizing" word containing logica are often stupid logic that are used to lessen results of young creators worldwide. ( the whole normalizing theory is a sabotage against young humans results and self control of movements) . greetings from finland military, we like motivate fun creators like you too.

  • @NotifrikiTV
    @NotifrikiTV หลายเดือนก่อน

    this was an amazing video!

  • @kikokat_3119
    @kikokat_3119 หลายเดือนก่อน

    This is such a good video helped a lot :) I also liked the little funny details ;D

  • @PlantVsZiebom
    @PlantVsZiebom 2 หลายเดือนก่อน

    Hello Sir, Can I use it for my commercial game?

  • @charliecharliewhiskey9403
    @charliecharliewhiskey9403 2 หลายเดือนก่อน

    Beginner gamedev here. Sometimes knowing these things exists also can help you sort through documentation. For instance, I realised I could use pythagoras in my code, which worked. But then because I also knew that square root is inefficient, I looked up if there was a more efficient way, and found that in Godot you can just use vector2.length() to do the same thing. I wouldn't have found that if I hadn't approached already knowing pythagoras. Knowing math doesn't just help you solve problems, it helps you find what you need on complex topics, and more easily understand what the explanations mean.

  • @JanKerstens
    @JanKerstens 2 หลายเดือนก่อน

    Very, very nice video. Thanks!

  • @Motivational-Mango
    @Motivational-Mango 3 หลายเดือนก่อน

    well the math like plus and the minus is good also multipliction like 5 x5 or 10 x 5 is also good. some people saying you need vectors but not that important! i just use plus minus multipliction and i made many game like zeldas, the super mario nintendo, the dragon of steel, the spyro ratchet clank and bandicoot. thanks

  • @konradswart4069
    @konradswart4069 3 หลายเดือนก่อน

    The assertion about dot product, as stated, is not correct. The assertion applies only to normalized vectors. When two vectors are not normalized, their dot product can have _any_ value!

  • @AbigailDingle
    @AbigailDingle 3 หลายเดือนก่อน

    😊

  • @sakanagakyoko
    @sakanagakyoko 3 หลายเดือนก่อน

    I actually made some better than expected tunes with this! Thanks a million

  • @emperor8716
    @emperor8716 4 หลายเดือนก่อน

    guys: don't learn discrete maths. you will die.

  • @Hiroki_MakeGames
    @Hiroki_MakeGames 4 หลายเดือนก่อน

    great tutorial, thanks ! i have a music background so wish me luck trying to make music for my games

  • @losersreadwhat
    @losersreadwhat 4 หลายเดือนก่อน

    this is great content dude wow!! thanks

  • @ilias_moujahid
    @ilias_moujahid 4 หลายเดือนก่อน

    I miss you man

  • @TheDJJAYB
    @TheDJJAYB 4 หลายเดือนก่อน

    nice video, but how we sell our music and where ??

  • @MisterBeigeMusic
    @MisterBeigeMusic 4 หลายเดือนก่อน

    I'm seeking opportunities to plug my music into games! Willing to do it for a low cost or free--I'm a novice musicmaker and I'm looking to build my resume. Most of my sounds skew eerie, ambient, and abstract, but I am able to shift to specific scenarios or moods depending what you're looking for.

  • @RecklessRaven_
    @RecklessRaven_ 4 หลายเดือนก่อน

    Very useful video! I'm reorienting my career towards game development. I haven't done math like this in about 12-15 years. It's helpful to know what math is needed, when it's used, and why it's important. This will allow me to review the necessary math before starting my university degree in video game programming and animation.

  • @Devilnero1991
    @Devilnero1991 4 หลายเดือนก่อน

    I suspect there would be highly specialised software which can take care of movement and vectors. Is it necessary to learn math to code games these days?

    • @sjoerdmpfrgh
      @sjoerdmpfrgh 3 หลายเดือนก่อน

      I think it depends on how much control you want over the lower level mechanisms of the game. You can get away with using build-in functions but at some point you'll want to tweak things for the specific requirements of your game

  • @MrZAPPER1000
    @MrZAPPER1000 5 หลายเดือนก่อน

    10:40 yes but also because the Greeks did it with triangles. Eastern math systems used arcs and strings before triangles. Super cool history to it

  • @khawlatouj8980
    @khawlatouj8980 5 หลายเดือนก่อน

    thank you for the good explanation

  • @joshuawilson8804
    @joshuawilson8804 5 หลายเดือนก่อน

    I was listening to this and took the suggestion. But dang, it doesn't seem to work. I went to chordchord as suggested and found a melody I like. I put it in as instructed but the intsruments sound like a mess while on chordchord it sounded beautiful. I think it has something to do with the notes being able to fade but on LMMS its all monotone and holding the same pitch? Volume? I don't know.

  • @cristian021492
    @cristian021492 5 หลายเดือนก่อน

    Thanks so much for this video, really helped a lot!

  • @alexkt3400
    @alexkt3400 5 หลายเดือนก่อน

    The ghost (or grim reaper) that's forcing you to clear the level faster has been a thing since the era of New Zealand Story, Bubble Bobble, Snow Bros etc. It's a design concept from a previous millennium, even though it does bring forth its own improvements to the classic formula. Considering your implementation doesn't even use a ghost or some indestructible character directly following the player, I'd say you're actually improving the gargamel mob (that's what we used to call it in the 90s) more than Spellunky did on the original concept.

  • @FlyGuyGreeny
    @FlyGuyGreeny 5 หลายเดือนก่อน

    Thanks! ❤

  • @preetierajdeo149
    @preetierajdeo149 5 หลายเดือนก่อน

    Amazing Man!!!! I am just speechless Maths is sooooo wonderful! Hats off to you!!

  • @your_nightmare1987
    @your_nightmare1987 6 หลายเดือนก่อน

    Thank you so much fir this video!

  • @akshay_m
    @akshay_m 7 หลายเดือนก่อน

    I know this is not the best video for music theory. But, you helped me with something else. LMMS. I always wanted to try making stuff on this thing, but was never able to start as I didn't wanted to learn a whole new software. Seeing you use it, I now know tha it's not as difficult as I thought it would be. Thank you very much.

  • @vivithepotato8352
    @vivithepotato8352 7 หลายเดือนก่อน

    The first helpful video I've watched on this topic, you are a fucking wizard my friend

  • @NugGarou
    @NugGarou 7 หลายเดือนก่อน

    Why is his camera constantly switching between being more blue or green or red? It’s very distracting.

  • @RealObservr
    @RealObservr 7 หลายเดือนก่อน

    Thanks for the tutorial m8!

  • @noobemath
    @noobemath 8 หลายเดือนก่อน

    extremely helpful

  • @Robyamdam
    @Robyamdam 8 หลายเดือนก่อน

    Bro literally dropped a banger and dipped

  • @Nammedit
    @Nammedit 8 หลายเดือนก่อน

    Hey! Great video and you're a great teacher, but the music in the background is really distracting.

  • @Syntaxify_dev
    @Syntaxify_dev 8 หลายเดือนก่อน

    what is the name of the game with the parachute 2:06 ?

  • @silverbolt6699
    @silverbolt6699 9 หลายเดือนก่อน

    anyone know the tank game at 0:25?

  • @rakhelkhongsaiaccount99
    @rakhelkhongsaiaccount99 9 หลายเดือนก่อน

    Why did he stop uploading

  • @theman7050
    @theman7050 9 หลายเดือนก่อน

    Brilliant!! Thanks

  • @havish530
    @havish530 9 หลายเดือนก่อน

    you look like young elon musk!

  • @romanallgeier4661
    @romanallgeier4661 10 หลายเดือนก่อน

    At 8:40 the A in the A minor chord is put in as a G instead. This makes the progression C Bb C Dm instead of C Bb Am Dm Otherwise great video 👍🏻 😊 I can definitely see a young composer learning from this

  • @zackx1
    @zackx1 10 หลายเดือนก่อน

    I thought I was going to lose interest in learning this but after listening to it in the background. I couldn't help but find myself looking up and zoning in on it to learn and I will say, this is always going to be my go to when learning the basic of music. I am glad you took the time to make this. This is a very useful tutorial and is a good way to get those who are interested in music started. Again, Many thanks. Keep up the good work. This is indeed going into my playlist of Creativity.

  • @naoboyz8259
    @naoboyz8259 10 หลายเดือนก่อน

    That was helpful, thank you <3