Linked from

The 72 pages that link to John von Neumann, each with the reason it gives.

• Monte Carlo methodRelated: He helped develop and promote the sampling approach for problems in nuclear physics.

• Game theoryRelated: His minimax theorem supplied a rigorous solution for finite zero-sum games.

• Numerical analysisRelated: His work helped connect mathematical algorithms with the design and limits of computers.

• Quantum measurementRelated: His formal split between unitary evolution and projection sharpened the measurement problem.

• Climate modelRelated: His computing initiatives enabled practical numerical simulations of atmospheric circulation.

• Decision theoryRelated: His work supplied a formal foundation for choices under uncertainty.

• Cellular automatonRelated: His self-reproducing automaton helped establish cellular automata as a formal model.

• Computer scienceRelated: The stored-program architecture associated with his name shaped modern computer design.

• Kurt GödelRelated: Von Neumann recognized the force of Gödel’s second incompleteness theorem soon after its announcement.

• Institute for Advanced StudyRelated: His appointment helped establish the Institute as a center for mathematical research.

• Norbert WienerRelated: His work on computing and automata intersected with Wiener’s thinking about machines and organisms.

• Randomized algorithmRelated: His work on pseudo-random number generation informed early computational uses of randomness.

• Mathematical physicsRelated: His mathematical formulation of quantum mechanics helped establish operator theory as a physical language.

• Eugene WignerRelated: Von Neumann and Wigner shared a Budapest education and collaborated in mathematical physics.

• Expected utility hypothesisRelated: His work formalized preference conditions for evaluating lotteries.

• Measurement problemRelated: His analysis distinguished unitary evolution from measurement-associated state reduction.

• Bayesian decision theoryRelated: His utility theory supplied a formal account of preference over probabilistic outcomes.

• John NashRelated: His minimax theory was a major precursor to Nash’s broader equilibrium result.

• Cumulative hierarchyRelated: His work connected ordinal stages with a systematic universe of sets.

• ETH ZurichRelated: He earned a doctorate at ETH Zurich before building his career elsewhere.

• Lloyd ShapleyNarrower topic: Shapley’s generation built on the mathematical foundations von Neumann helped create.

• Digital logicRelated: Stored-program machines organized extensive logic circuits around instructions and data in memory.

• Mathematical economicsRelated: His mathematical innovations supplied tools for strategic and dynamic economic analysis.

• Mixed strategyRelated: His minimax theorem showed that optimal play in finite zero-sum games can require randomization.

• Merge sortRelated: He is credited with developing merge sort in 1945 for the EDVAC project.

• Oskar MorgensternRelated: Morgenstern and von Neumann jointly developed the theory of games and economic behavior.

• George PólyaRelated: Von Neumann belonged to the same generation of Hungarian mathematicians who shaped American research.

• Stanisław UlamRelated: Ulam collaborated with von Neumann on the Monte Carlo method and thermonuclear weapon design.

• Ergodic theoryRelated: His mean ergodic theorem established an influential Hilbert-space approach.

• History of computingRelated: The architecture associated with his name shaped many early general-purpose machines.

• Minimax theoremRelated: He proved the finite zero-sum minimax theorem in 1928.

• Simplex algorithmRelated: His minimax theorem connected zero-sum games with linear programming duality.

• Von Neumann architectureRelated: His report on EDVAC gave the architecture its familiar name.

• EDVACRelated: Von Neumann wrote the influential 1945 report outlining EDVAC’s architecture.

• Interior-point methodRelated: His minimax framework influenced early algorithms that anticipated interior approaches to linear programming.

• Theory of Games and Economic BehaviorRelated: He supplied the mathematical foundations and coauthored the book.

• Cooperative game theoryRelated: His work with Morgenstern supplied the field's mathematical foundations.

• Hungarian Academy of SciencesRelated: His election as an honorary member connected the Academy with a major figure in modern science.

• Landauer's principleRelated: His discussions of measurement and entropy formed part of the intellectual background to Landauer's argument.

• Sorting algorithmRelated: He developed an early merge-sorting method for data stored on tape.

• Terence TaoCompared with: Both displayed exceptional mathematical ability early, but their careers unfolded in different eras and institutions.

• Two's complementRelated: His 1945 computer design report described binary arithmetic using a complement representation.

• Wigner’s friendRelated: His measurement chain provides the framework in which Wigner can shift the boundary between system and observer.

• Conway's Game of LifeRelated: Von Neumann's work on self-reproduction helped establish the intellectual setting for cellular automata.

• John MauchlyRelated: His 1945 report on EDVAC helped spread a stored-program design associated with Mauchly and Eckert’s project.

• Kakutani fixed-point theoremRelated: Kakutani's theorem later supplied a fixed-point route to von Neumann's minimax result.

• Quantum Zeno effectRelated: His projection framework underlies the ideal repeated-measurement argument.

• Wave function collapseRelated: His measurement chain made explicit the tension between unitary evolution and collapse.

• Computer engineeringRelated: The architecture associated with his name shaped how hardware stores and executes instructions.

• George DantzigRelated: He recognized the significance of Dantzig’s linear-programming work and connected it to duality and game theory.