From Von Neumann's minimax proof to PageRank and simulated annealing, mathematicians turned games, decisions, and randomness itself into machines that compute.
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TERRITORY BADGE
Architect of Algorithms
Complete all 33 lessons to claim
The Path Through
builds on XVIII · The Laws of Chance
The Discrete Fourier Transform: Signals as Frequencies
Information Theory
L758
Turing's Morphogenesis: How Math Creates Patterns in Nature
Applied
L763
John von Neumann: The Last Universal Genius
Biography
L772
Game Theory: Von Neumann's Minimax Theorem
Probability
L773
The Theory of Games and Economic Behavior
Applied
L774
Nash Equilibrium: When No One Wants to Switch
Probability
L775
Monte Carlo Methods: Computing with Randomness
Statistics
L777
Subjective Probability: Belief as a Number
Probability
L783
Stochastic Processes: Random Functions of Time
Probability
L784
Linear Programming: Optimization with Constraints
Optimization
L786
Kenneth Arrow: The Impossibility Theorem
Applied
L809
The Kelly Criterion: Optimal Betting Strategy
Applied
L810
Benoit Mandelbrot: Fractals and Fat Tails
Biography
L811
Fractal Geometry: Measuring the Unmeasurable
Geometry
L812
Dynamic Programming: Breaking Problems into Subproblems
Optimization
L819
The Fast Fourier Transform: The Most Important Algorithm
Computing
L822
The Simplex Method Visualized: Walking on Polytope Edges
Optimization
L829
Queueing Theory: The Mathematics of Waiting
Statistics
L830
Erlang and Telephone Networks: Statistics for Communication
Applied
L831
Convex Optimization: When Every Local Minimum Is Global
Optimization
L837
The Simplex vs Interior Point: Two Paths to the Optimum
Optimization
L838
PageRank: Google's Founding Algorithm
Applied
L844
RSA Encryption: Number Theory Secures the Internet
Applied
L845
Gradient-Free Optimization: When Derivatives Don't Exist
Optimization
L850
Simulated Annealing: Optimization Inspired by Metallurgy
Optimization
L851
Genetic Algorithms: Evolution as Optimization
Optimization
L852
The Birthday Paradox: Counterintuitive Probability
Probability
L853
Bayes' Theorem in Medical Testing: The False Positive Problem
Statistics
L854
Von Neumann's Minimax Proof: Fixed Point Theorems
Probability
L857
The Prisoner's Dilemma: When Rationality Leads to Disaster
Probability
L858
Markov Decision Processes: Sequential Decision Making
Computing
L859
Bellman's Equation: The Foundation of Dynamic Programming