John von Neumann | Academic Influence

John von Neumann's AcademicInfluence.com Rankings

John von Neumann

Mathematics

#9

Historical Rank

Measure Theory

#6

Historical Rank

mathematics Degrees

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Mathematics

Why Is John von Neumann Influential?

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According to Wikipedia, John von Neumann was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He had perhaps the widest coverage of any mathematician of his time, integrating pure and applied sciences and making major contributions to many fields, including mathematics, physics, economics, computing, and statistics. He was a pioneer in building the mathematical framework of quantum physics, in the development of functional analysis, and in game theory, introducing or codifying concepts including cellular automata, the universal constructor and the digital computer. His analysis of the structure of self-replication preceded the discovery of the structure of DNA.

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John von Neumann's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Theory of Games and Economic Behavior. (1945) (15714)
Mathematical Foundations of Quantum Mechanics (1955) (3809)
Probabilistic Logic and the Synthesis of Reliable Organisms from Unreliable Components (1956) (2257)
Zur Theorie der Gesellschaftsspiele (1928) (2062)
The Theory of Games and Economic Behaviour (1944) (1908)
The Logic of Quantum Mechanics (1936) (1109)
A Model of General Economic Equilibrium (1945) (931)
On an Algebraic generalization of the quantum mechanical formalism (1934) (906)
Distribution of the Ratio of the Mean Square Successive Difference to the Variance (1941) (797)
The General and Logical Theory of Au-tomata (1963) (706)
Die Eindeutigkeit der Schrödingerschen Operatoren (1931) (603)
The Computer and the Brain (1959) (596)
Rings of operators (1961) (527)
1. A Certain Zero-sum Two-person Game Equivalent to the Optimal Assignment Problem (1953) (525)
Numerical inverting of matrices of high order (1947) (493)
The Mean Square Successive Difference (1941) (469)
On Rings of Operators. Reduction Theory (1949) (467)
Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren (1930) (431)
Zur Operatorenmethode In Der Klassischen Mechanik (1932) (417)
On Rings of Operators. III (1940) (384)
Beweis des Ergodensatzes und desH-Theorems in der neuen Mechanik (365)
Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet (1950) (356)
Zur allgemeinen Theorie des Masses (350)
Dynamical Systems of Continuous Spectra. (1932) (336)
Proof of the Quasi-Ergodic Hypothesis. (1932) (321)
Continuous Geometry. (1936) (319)
On infinite direct products (1939) (281)
Planning and coding of problems for an Electronic Computing Instrument (1947) (267)
Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren (1930) (256)
On rings of operators. II (1937) (234)
Theory of games and economic behavior, 2nd rev. ed. (1947) (232)
SOLUTIONS OF GAMES BY DIFFERENTIAL EQUATIONS (1950) (229)
Almost periodic functions in a group. I (1934) (211)
Operator Methods in Classical Mechanics, II (1942) (207)
On Regular Rings. (1936) (163)
Eine Axiomatisierung der Mengenlehre. (158)
Uber Adjungierte Funktionaloperatoren (1932) (155)
Über die Grundlagen der Quantenmechanik (1928) (153)
The Statistics of the Gravitational Field Arising from a Random Distribution of Stars. I. The Speed of Fluctuations. (1942) (138)
Fourier integrals and metric geometry (1941) (135)
The geometry of orthogonal spaces (1950) (124)
Zur Hilbertschen Beweistheorie (1927) (115)
The Jacobi Method for Real Symmetric Matrices (1959) (114)
John von Neumann collected works (1961) (109)
The Statistics of the Gravitational Field Arising from a Random Distribution of Stars II (1943) (104)
Charakterisierung des Spektrums eines Integraloperators (1935) (98)
Die Axiomatisierung der Mengenlehre (1928) (93)
Numerical inverting of matrices of high order. II (1951) (90)
Physical Applications of the Ergodic Hypothesis. (1932) (82)
Minimally Almost Periodic Groups (1940) (80)
Uber Funktionen Von Funktionaloperatoren (1931) (79)
Tabulation of the Probabilities for the Ratio of the Mean Square Successive Difference to the Variance (1942) (77)
Almost periodic functions in groups. II (1935) (77)
On complete topological spaces (1935) (75)
Uber Einen Satz Von Herrn M. H. Stone (1932) (68)
Zusatze Zur Arbeit ,,Zur Operatorenmethode... (1932) (68)
The Cross-Space of Linear Transformations. III (1946) (67)
Einige Satze UberMessbare Abbildungen (1932) (67)
Ein System algebraisch unabhängiger zahlen (1928) (64)
Spieltheorie und wirtschaftliches Verhalten (1961) (62)
On Compact Solutions of Operational-Differential Equations. I (1935) (62)
Über die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen (1929) (61)
Blast wave calculation (1955) (59)
1. On the Theory of Games of Strategy (1959) (55)
Mathematical Foundations of Quantum Mechanics (Investigations in Physics No. 2) (1955) (55)
Examples of Continuous Geometries. (1936) (53)
A Further Remark Concerning the Distribution of the Ratio of the Mean Square Successive Difference to the Variance (1942) (53)
Approximative properties of matrices of high finite order (1942) (49)
Communication on the Borel Notes (1953) (46)
Über die Definition durch transfinite Induktion und verwandte Fragen der allgemeinen Mengenlehre (1928) (41)
Design of computers, theory of automata and numerical analysis (1963) (39)
Significance of Loewner’s Theorem in the Quantum Theory of Collisions (1954) (39)
Die Einfuhrung Analytischer Parameter in Topologischen Gruppen (1933) (39)
The determination of representative elements in the residual classes of a Boolean algebra (1935) (39)
A numerical method to determine optimum strategy (1954) (38)
A Theorem on Unitary Representations of Semisimple Lie Groups (1950) (37)
Theory of games, astrophysics, hydrodynamics and meteorology (1963) (37)
Functional Operators (AM-21), Volume 1: Measures and Integrals. (AM-21) (1950) (35)
Theory of Shock Waves (1943) (34)
Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) (1951) (32)
Statistical treatment of values of first 2,000 decimal digits of and of calculated on the ENIAC (1950) (31)
Die Zerlegung eines Intervalles in abzählbar viele kongruente Teilmengen (31)
On the Permutability of Self-Adjoint Operators (1955) (26)
Zum Haarschen Maß in topologischen Gruppen (1935) (22)
On a Certain Topology for Rings of Operators (1936) (22)
Continuous Rings and Their Arithmetics. (1937) (22)
Einige Bemerkungen zur Diracschen Theorie des relativistischen Drehelektrons (1928) (21)
Zur Erklärung einiger Eigenschaften der Spektren aus der Quantenmechanik des Drehelektrons (20)
Operators, ergodic theory and almost periodic functions in a group (1961) (19)
A study of a numerical solution to a two-dimensional hydrodynamical problem (1959) (19)
On Some Algebraical Properties of Operator Rings (1943) (19)
John von Neumann Collected Works:@@@Volume V: Design of Computers, Theory of Automata and Numerical Analysis@@@Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology. (1964) (19)
Über die Lage der Nullstellen gewisser Minimumpolynome. (19)
Algebraic Theory of Continuous Geometries. (1937) (18)
Zur Erklärung einiger Eigenschaften der Spektren aus der Quantenmechanik des Drehelektrons (16)
Continued fraction expansion of 2^{1/3} (1955) (16)
Random Numbers Generation Using Quantum Physics (15)
A numerical study of a conjecture of Kummer (1953) (15)
Logic, theory of sets, and quantum mechanics (1961) (13)
Algebraische Repräsentanten der Funktionen "bis auf eine Menge vom Maße Null". (1931) (13)
Über einen hilfssatz der variationsrechnung. (1931) (13)
On the Transitivity of Perspective Mappings (1940) (13)
The Non-Isomorphism of Certain Continuous Rings (1958) (11)
TAYLOR INSTABILITY OF INCOMPRESSIBLE LIQUIDS . PART 1. TAYLOR INSTABILITY OF AN INCOMPRESSIBLE LIQUID. PART 2. TAYLOR INSTABILITY AT THE BOUNDARY OF TWO INCOMPRESSIBLE LIQUIDS (1953) (10)
Continuous geometry and other topics (1962) (10)
Introduction to the special issue on Cellular Automata (9)
Electronic Methods of Computation (1948) (9)
The Collected Works of John von Neumann: 6-Volume Set (1963) (7)
On Some Analytic Sets Defined by Transfinite Induction (1937) (7)
Bemerkungen zu den Ausführungen von Herrn S. Leśniewski über meine Arbeit "Zur Hilbertschen Beweistheorie" (1931) (6)
Zur Erklärung einiger Eigenschaften der Spektren aus der Quantenmechanik des Drehelektrons (6)
On Normal Operators. (1935) (5)
New directions in floating-point arithmetic (5)
Geometry of complex domains : a seminar conducted by Professors Oswald Veblen and John Von Neumann, 1935-36 (1958) (4)
Zusatz zur Arbeit "Zur allgemeinen Theorie des Masses" (4)
Zum Beweise des Minkowskischen Stazes über Linearformen (1929) (3)
Einige periodische Kettenbruchentwicklungen. (3)
Symmetric Solutions of Some General n-Person Games (1961) (2)
A report by the AEC General Advisory Committee (1952) (2)
Institute for Computing R 12 Methods , Gaussian Geminals Wim Klopper published in Modern Methods and Algorithms of Quantum Chemistry (1)
John Von Neumann (1957) (1)
Climbing Everest (1953) (1)
Computational Intelligence : The Legacy of Alan Turing and (1)
Entwicklung und Ausnutzung neuerer mathematischer Maschinen . Rechenautmaten im Dienste der Technik (1955) (1)
Behavior Model Assisted Decisions in Active Modeling Supported Engineering (1)
John von Neumann Institute for Computing Path Integration via Molecular Dynamics (0)
Lectures by John Von Neumann on continuous geometry, 1936-1937 (1937) (0)
CHAPTER VI. COVERING THEOREMS (1950) (0)
Measures and integrals (1950) (0)
John von Neumann Institute for Computing Reptation Quantum Monte Carlo (0)
CHAPTER III. MEASURE (1950) (0)
CHAPTER V. INVARIANCE OF MEASURE UNDER.TRANSFORMATIONS (1950) (0)
Institute for Computing Hybrid quantum mechanics / molecular mechanics approaches (0)
CHAPTER XII. LINEAR SPACES (1951) (0)
Deane Montgomery Faculty file: bibliography and recommendation letters (1951) (0)
2. Two Variants of Poker (1953) (0)
Technical Notes and Short Papers (1955) (0)
Letter from John Von Neumann to Joshua Lederberg (1955) (0)
International Congress of Mathematicians : Cambridge, Massachusetts, U.S.A. 1950 Conference in applied mathematics (1950) (0)
CHAPTER XI. PROPERTIES OF THE GENERAL INTEGRAL (1950) (0)
CHAPTER IX. MONOTONIC FUNCTIONS (1950) (0)
Book Reviews and Abstracts (1931) (0)
CHAPTER II . OUTER MEASURE (1950) (0)
CHAPTER VIII. LEBESGUE INTEGRAL (1950) (0)
CHAPTER VII. NON-MEASURABLE SETS (1950) (0)
CHAPTER XIII. LINEAR OPERATORS (1951) (0)
CHAPTER IV. INNER MEASURE (1950) (0)
CHAPTER I . POINT SET THEORY (1950) (0)
John von Neumann Faculty file: home purchase (1945) (0)
CHAPTER X. GENERAL MEASURE FUNCTIONS AND OUTER MEASURES (1950) (0)
CHAPTER XIV. COMMUTATIVITY, REDUCTIBILITY (1951) (0)

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What Are John von Neumann's Academic Contributions?

John von Neumann has made the following academic contributions:

Mathematical Foundations of Quantum Mechanics

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