B-Tree and Database Index Theory (Why DBs Choose B-Tree)
Section
1083 pages
Posts
Graph Theory and Dijkstra / A* Algorithms: Mathematical Foundations and Implementation of Pathfinding
Information Theory and Shannon Entropy: Exploring the Limits of Data Compression and Communication
The Depths of the Byzantine Generals Problem and Consensus Algorithms: How Paxos, Raft, and BFT Work
Automata and Formal Language Theory: Behind Regular Expressions and the Chomsky Hierarchy
How Quantum Computers Work and Shor's Algorithm: Why Quantum Computing Can Break Cryptography?
The Full Picture of the 'P vs NP Problem' and Computational Complexity Classes: Explanation of the Millennium Prize Problem and Its Significance in Programming
The Origins of Lambda Calculus and Functional Programming: From Alonzo Church's Theory to Lisp and Haskell
Turing Machines and Computability Theory: Alan Turing's Thought Experiment and the 'Halting Problem'
CAP Theorem and Distributed Systems: The Essential Dilemma of Distributed Databases
Cryptocurrency and Bitcoin: Their History, Mathematical Foundations, and Future
Alan Baker: The Fields Medalist Who Revolutionized Transcendental Number Theory
Andrew Wiles: The Solitary Mathematician Who Proved Fermat's Last Theorem
Gerd Faltings: The Modern Number Theory Giant Who Solved the Mordell Conjecture
Heisuke Hironaka: The Resolution of Singularities and the Quest for Creativity
Alexander Grothendieck: The Life and Achievements of the 20th Century's Greatest Mathematician
Goro Shimura: The Life and Achievements of a Towering Peak in Modern Mathematics
Kiyosi Ito: The Father of Stochastic Differential Equations and the Math Behind Modern Finance
Kunihiko Kodaira: Japan's First Fields Medalist and His Symphony of Geometry
Yutaka Taniyama: The Life and Achievements of the Genius Mathematician Who Challenged Unsolved Problems
