The Key to Understanding Math (with apples)

Math is a simple game that starts with counting apples. and ends with you completing questions dealing with the very fabric of reality. But it's not as hard as you think.

Real Talk: It's all down to practice. If you don't keep doing the same topic to master it, you won't get better.

IB: Casually Explained + Easy actually

[newwaveinfantry]

2:40 - Yeah bro, there is totally not enough content in math. There is only:

Proofwriting
Discrete mathematics
Linear algebra
Group theory
Ring theory
Complex analysis I
Topology
Field theory
Galois theory
Euclidean, projective and hyperbolic geometry
Algebraic geometry I – varieties
Set theory
Combinatorial and analytic game theory
Representation theory
Number theory
Module theory
Differential topology
Differential geometry
Category theory I
Elliptic curves
Algebraic number theory
Analytic number theory
Commutative algebra
Algebraic topology I – homotopy theory
Algebraic geometry II – sheaves and schemes
Algebraic number theory for cryptography
Algebraic topology II – homology and cohomology
Algebraic geometry III – coherence
Lie groups
Riemann surfaces
Algebraic topology III – cohomology rings
About a trillion different homology and cohomology theories
Complex and almost-complex manifolds
Modular forms
Lie algebras
Algebraic topology IV – homotopy type theory
Topos theory
Lambda calculus
nonstandard algebras
Algebraic topology V – spectral theory
Model theory
Algebraic topology VI – homotopical and homological algebra
Category theory II – infinity categories
Algebraic K theory
Vertex operator algebras
Mathematical modelling and ODEs
Real analysis
Dynamical systems
Numerical methods
Mathematical modelling for neuroscience
Space-filling curves
PDEs I
Functional analysis
C*-algebras
Nonlinear dynamical systems
Calculus of variations
Harmonic analysis
Morse theory
Chaotic dynamical systems
Discrete dynamical systems
Dispersive PDEs
nonlinear Schrodinger equations
Riemannian manifolds
Optimal transport
Ergodic theory
Elliptic PDEs
Analytic geomtry
differential forms
Fluid mechanics
Symplectic geometry
Parabolic PDEs
arithmetic geometry
Multivariable complex analysis
Brownian motion and random walks
Numerical methods for time-dependent PDEs
symbolic dynamics
Conley index theory
Tropical geometry
Geometric algebra
Spacetime algebra
Order theory
Proof theory
Computability theory
Complexity theory
Automata
Code optimization
Hyperbolic PDEs
Protein folding
Topological data analysis
Probability theory
Mathematical statistics
Mathematical modelling of stochastic systems
Statistical data analysis
Probabilistic forecasting
Bayesian statistics
Markov chains
Measure theory
biostatistics
Asymptotic statistics
Monte Carlo method for approximations and data sampling
Databases
Measure theoretic probability
Stochastic processes
Martingales
Applied biostatistics
Stochastic processes for finance
Stochastic analysis
Stochastic calculus
Multivariate statistics
Stochastic PDEs and ODEs
Regression methods
Statistical genetics
statistical machine learning
Forensic probability and statistics
Causality
Statistics for high-dimensional data
numerical methods for statistics
Removal of random noise
Integration on manifolds
Quantum computing
Random matrix theory
Mathematics for thermal engineering
Mathematics for electrical engineering
Ordinal analysis
Nonstandard analysis
Algebra for particle physics
Control theory
Gauge theory
Topological K-theory
Differential algebra
Biomedical mathematics
Mathematics for material science
Tensor algebra and tensor analysis on manifolds
Representations of quivers
Hypergraphs and infinite trees
Oracle programming
Discrete differential geometry
Motives
Umbral caluclus
Adelic groups
Meyer-Vietoris theory
Hodge theory
Representation theory for simple and semisimple Lie algebras
Triangulation and tesselation
Transcendental number theory
Algebraic groups
Calabi Yau, cannonically polarized, smooth, complex, projective & toric varieties
Stacks in algebraic geometry and topos theory
Classification of groups
Classification of manifolds
Von Neumann algebras
Groupoids/magmas, monoids, loops quasigroups, semigroups and other generalizations of groups
Langlands program
Mathematics for computer graphics

[anukalpaduttaa]

P.S.: if you level up enough, you can become the dev😉

[TQuantP]

After lvl 25 ypu get to senior teritory where you prove 3 thins:
1) Everything that behaves like an apple can in fact do the basic thins that apples can (Group theory)
2) Somethings behave like an apple even though they are chairs and some things don't even though they are (Topology)
3) How the table should look like to find the apple thay you put there yourself 30' ago (Differential equations)


Then you get to Master's teritory, and I can't speak for everyone but I had one in category theory and algebraic topology, which is basically as follows: "I want to know what other things that have nothing to do with the apple can be used to represent the apple and what does this tells us for the apple in comparison to a tractor".

I hope I was helpful, now you know the next levels to come.

[zru_]

Grinding for level 6π rn. Nice of you for not spoiling the rest of the game while still naming the bosses.

[jakobr_]

I’ve actually found that it’s easiest to understand/explain certain math lessons as if they were a game. Row reduction in matrices, for example.

[Slurpee_Burger]

Thanks for this im going back to school for computer science

[douglasstrother]

"Algebra" is Arabic for "Go find 'x'". Regardless, it's a multi-lingual hassle.

[disguisedpuppy]

Is bro a mind-reader? Got recommended the video when I was thinking of maths, and Accurately guessed that I had paused the video

[instinx]

If I have to do another variation of parameters assignment with the Wronskian one more time I may commit war crimes

[RockSp-oejl]

bro, by watching this vid, i actually cleared my confusion regarding the sequence of math
thx

[fireballman]

You forgot to cover the lore behind the math, its like reading the wiki for the game and learning about the devs

[mrprogamer]

that health and mana bar gave me massive AQW nostalgia damn.

[loganm]

I beat the Hartshorne Algebraic Geometry Chapter 1 superboss, but the following chapters are still way too overpowered. Level 38 now and I can't remember starting university anymore it was too many theorems ago (the only unit of time which matters at this point, assignment due dates become obsolete past level 35)

[alvargd]

dont underestimate just how much math there is way past linear algebra and vector calculus, it really does go on a lot

[pringel_]

i love how you made the video actually fun

[darekfodor]

This was fire ngl, we need more I say

[fireballman]

I’d consider geometric algebra a logical continuation of your previous quests, although you might find it a bit tricky to avoid physics from creeping back into the gameplay

[djedg]

The first question of the video “What is a definition for “happy”?”. I disagree with your opinion “they are all right”. I’d argue all options are wrong, each to a greater or lesser extent.

a) One can experience joy without happiness.
b) Or be happy and content without being cheerful.
c) As such, the definition of happy is broader than euphoria.
d) And many people feel lonely after winning the lottery.

[kylew]

I guess calculus really is the new game+ of math

[relaxandchill]

guys help im stuck at level 17, the map opened up and its way too huge for me, the enemies deal more damage.