When Do Disconnected Dots Become a Colossal Continuum?：The Mathematics of Percolation Theory and Critical Phenomena
Categories
192 pages
Mathematics
Auction Theory and Game Theory: The Vickrey Mechanism, Spectrum Auctions, and the Mathematics of the Modern Ad Economy
Complete Anatomy of the P vs NP Problem: The Pinnacle of Computational Complexity Theory and the Unsolved Abyss
Fractal Dimension and Hausdorff Measure: Fractional Dimensions Beyond the Wall of Integers and the Science of Self-Similarity
Mathematical Biology and Turing Patterns: The Mathematics of Self-Organization and Morphogenesis Left by a Genius in His Later Years
Superstring Theory and the World of Extra Dimensions: 10- and 11-Dimensional Physics Aiming for the Theory of Everything (TOE)
The Four Color Theorem and the Computer Mathematics Revolution: A Century-Old Enigma and the Philosophy of Mechanical Proof
The Mystery of Information Geometry: Riemannian Spaces Woven by Probability Distributions and the Future of Statistics and AI
Type Theory and the Curry-Howard Isomorphism: The Profound Harmony of Propositions as Types and Proofs as Programs
History of Cryptography: From the Enigma Battles to the Birth of Public-Key Cryptography (RSA)
The Endless Journey of Calculating Pi: From Archimedes to Supercomputers
The Beginning of Graph Theory: The Mathematics of the Seven Bridges of Königsberg
The Prime Number Theorem: The Beautiful Law Hidden in the Seemingly Random Distribution of Primes
Compressed Sensing: Why We Can Reconstruct Original Signals from Fewer Observations
Grover's Algorithm: How Fast Can Quantum Computers Search?
Spectral Graph Theory: Reading Network Properties from Eigenvalues
Random Matrix Theory: The Mathematics Appearing from Atomic Nuclei to Stock Prices and Neural Networks
The Probabilistic Method: Erdős's Magic of Proving Existence with 'Randomness'
Fast Fourier Transform (FFT): The Algorithm That Sped Up Audio, Image, and Communications
How Error-Correcting Codes Work: From Scratched CDs to QR Codes
