Karl Menger | Academic Influence

Karl Menger's AcademicInfluence.com Rankings

Karl Menger

Mathematics

#246

Historical Rank

Measure Theory

#171

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Karl Menger's Degrees

PhD Mathematics University of Vienna

Why Is Karl Menger Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Karl Menger was an Austrian–American mathematician, the son of the economist Carl Menger. In mathematics, Menger studied the theory of algebras and the dimension theory of low-regularity curves and regions; in graph theory, he is credited with Menger's theorem. Outside of mathematics, Menger has substantial contributions to game theory and social sciences.

(See a Problem?)

Karl Menger'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

Statistical Metrics. (1942) (1339)
Zur allgemeinen Kurventheorie (1153)
Untersuchungen über allgemeine Metrik (1928) (554)
Grundsätze der Volkswirtschaftslehre (1924) (206)
Studies in geometry (1972) (130)
Das Unsicherheitsmoment in der Wertlehre (1934) (125)
New Foundation of Euclidean Geometry (1931) (111)
Reminiscences of the Vienna Circle and the Mathematical Colloquium (1994) (101)
Probabilistic Theories of Relations. (1951) (91)
Probabilistic Geometry. (1951) (81)
The Role of Uncertainty in Economics (1979) (75)
Selected Papers in Logic and Foundations, Didactics, Economics (1979) (62)
Topology without points (1940) (59)
Untersuchungen über allgemeine Metrik. Vierte Untersuchung. Zur Metrik der Kurven (1930) (48)
New Foundations of Projective and Affine Geometry (1936) (46)
Untersuchungen über allgemeine Metrik (41)
Über die Dimensionalität von Punktmengen (1923) (35)
Calculus, a modern approach (1954) (35)
The Formative Years of Abraham Wald and His Work in Geometry (1952) (34)
Bemerkungen zu den Ertragsgesetzen (1936) (32)
Algebra of Analysis (1945) (31)
A Transform for Logic Networks (1969) (26)
Geometry and Positivism a Probabilistic Microgeometry (1979) (25)
A Logic of the Doubtful on Optative and Imperative Logic (1979) (25)
Moral, Wille und Weltgestaltung : Grundlegung zur Logik der Sitten (1934) (24)
Beiträge zur Gruppentheorie. I (1931) (24)
Some Applications of Point-Set Methods (1931) (22)
Morality, Decision and Social Organization: Toward a Logic of Ethics (1974) (20)
Weitere Bemerkungen zu den Ertragsgesetzen (1936) (19)
What is Dimension (1943) (19)
Über die Dimension von Punktmengen III (1926) (19)
Morality, Decision and Social Organization (1974) (18)
Über die Dimension von Punktmengen III: Zur Begründung einer axiomatischen Theorie der Dimension (1929) (17)
You Will Like Geometry (1961) (16)
Über reguläre Baumkurven (1927) (16)
Über die Dimension von Punktmengen (1926) (15)
Bericht über ein mathematisches Kolloquium 1929/30 (1931) (14)
On the origin of the n-arc theorem (1981) (14)
Superassociative systems and logical functors (1964) (14)
Grundzüge einer Theorie der Kurven (1926) (13)
An Exact Theory of Social Groups and Relations (1938) (13)
ON VARIABLES IN MATHEMATICS AND IN NATURAL SCIENCE* (1954) (12)
On the Number of Partitionings of a Set of n Distinct Objects (1962) (12)
Mathematical Implications of Mach’s Ideas: Positivistic Geometry, the Clarification of Functional Connections (1970) (11)
A New Foundation of Non-Euclidean, Affine, Real Projective and Euclidean Geometry. (1938) (10)
Remarks on the Law of Diminishing Returns a Study in Meta-Economics (1979) (9)
A Counterpart of Occam’s Razor in Pure and Applied Mathematics; Ontological Uses (1960) (8)
Chapter 16. The Role of Uncertainty in Economics (1967) (8)
A counterpart of Occam's razor in pure and applied mathematics; semantic USES (1961) (8)
Memories of Kurt Gödel (1994) (7)
Non-Euclidean geometry of joining and intersecting (1938) (7)
A group in the substitutive algebra of the calculus of propositions (1962) (7)
ON SUBSTITUTIVE ALGEBRA AND ITS SYNTAX (1964) (7)
On algebra of geometry and recent progress in non-euclidian geometry (1940) (7)
What Are x and y? (1956) (6)
Logical Tolerance in the Vienna Circle (1979) (6)
Österreichischer Marginalismus und mathematische Ökonomie (1972) (6)
Two theorems on the generation of systems of functions (1966) (6)
The Ideas of Variable and Function. (1953) (6)
On Cauchy's Integral Theorem in the Real Plane. (1939) (6)
On Green's Formula. (1940) (6)
Space Time Integral Equation Approach for Targets with Edges. (1974) (6)
Gulliver in the Land without One, Two, Three (1959) (6)
Reports of a mathematical colloquium (1939) (6)
A Counterpart of Occam’s Razor (1979) (6)
Jahrbuch über die Fortschritte der Mathematik (1932) (5)
Karl Menger (1985) (5)
Krise und Neuaufbau in den Exakten Wissenschaften : fünf Wiener Vorträge (1933) (5)
Antwort auf eine Note von Brouwer (1930) (5)
SYNTHESIS OF SEQUENTIAL SWITCHING NETWORKS. (1964) (5)
Zur Dimensions-und Kurventheorie (1929) (5)
Metrische Geometrie und Variationsrechnung (1935) (5)
What Are Variables and Constants? (1956) (4)
Variables, Constants, Fluents (1979) (4)
Are Variables Necessary in Calculus (1949) (4)
On the Design of Grouping Problems and Related Intelligence Tests (1953) (4)
Bericht über die Dimensionstheorie. (4)
The New Logic (1937) (4)
Why Johnny Hates Math (1956) (4)
Rates of change and derivatives (1958) (4)
On social groups and relations (1983) (4)
Dimension und Zusammenhangsstufe (1928) (4)
Beitrge zur Gruppentheorie. I: ber eine Gruppenmetrik (1931) (4)
On the Teaching of Differential Equations (1944) (3)
The Algebra of Geometry (1979) (3)
The Projective Space (1950) (3)
The geometry relevant to modern education (1971) (3)
What Is Length? (1961) (3)
Die Relativitätstheorie und die Geometrie (1979) (3)
Characterization and Cardinality of Universal Functions (1965) (3)
Notre Dame Mathematical Lectures. Alignment Charts.@@@Notre Dame Mathematical Lectures. The Teaching of the Calculus of Probability.@@@Notre Dame Mathematical Lectures. On the Relation Between Calculus of Probability and Statistics.@@@Notre Dame Mathematical Lectures. On the Theory of Complex Functi (1945) (3)
Methods of Presenting e and π (1945) (3)
Self-Dual Fragments of the Ordinary Plane (1949) (2)
Metric Methods in Calculus of Variations. (1937) (2)
A New Point of View on the Logical Connectives (1979) (2)
An Intuitionistic-Formalistic Dictionary of Set Theory (1979) (2)
Postulates for the substitutive algebra of the 2-place functors in the 2-valued calculus of propositions (1963) (2)
Tossing a Coin (1954) (2)
Aristotelian Demonstration and Postulation Method (1948) (2)
A SIMPLE DEFINITION OF ANALYTIC FUNCTIONS AND GENERAL MULTIFUNCTIONS. (1954) (2)
Gulliver’s Return to the Land without One, Two, Three (1960) (2)
A Modulo Two Adder for Three Inputs Using a Single Tunnel Diode (1961) (2)
Analysis and metric geometry (1940) (2)
Calculus: A Modern Approach (1954) (2)
What paths have length (1949) (2)
My Memories of L. E. J. Brouwer (1979) (2)
Otto Schreier (1930) (2)
Bemerkungen zu meinem Aufsatz „Das Unsicherheitsmoment in der Wertlehre“ (1935) (2)
Bemarkungen über dimensionelle Feinstruktur und Produktsatz (2)
The nature of number : an approach to basic ideas of modern mathematics (1953) (1)
Endlichdimensionale Räume und Cartesische Räume (1)
Checkups for Combinational Gates (1963) (1)
GENERALIZED DERIVATIVES AND EXPANSIONS. (1955) (1)
A New Approach to Teaching Intermediate Mathematics (1979) (1)
Correction to "A Modulo Two Adder for Three Inputs Using a Single Tunnel Diode" (1961) (1)
An Abstract Form of the Covering Theorems of Topology (1938) (1)
Meaningfulness and Structure (1979) (1)
A Topological Characterization of the Length of Paths. (1952) (1)
Weierstrass analytic functions (1966) (1)
Poland and the Vienna Circle (1994) (1)
Remarks concerning the paper of W. L. Ayres on the regular points of a continuum (1931) (1)
On compositive functions of matrices (1962) (1)
THE BEHAVIOR OF A COMPLEX FUNCTION AT INFINITY. (1955) (1)
Die Dimensionsverhältnisse in Cartesischen Räumen (1)
A CHARACTERIZATION OF WEIERSTRASS ANALYTIC FUNCTIONS. (1965) (1)
Multiderivatives and Multi-Integrals (1957) (1)
Der Zusammenschluß des Gleichen (1934) (1)
Eine dimensionstheoretische Bemerkung von O. Schreier (1930) (1)
Über den imaginären euklidischen Raum (1933) (1)
Is w a function of u (1958) (1)
The Mathematics of Elementary Thermodynamics (1950) (1)
Committee on Mathematical Biology. (1956) (1)
Postscript to the English Edition (1974) (0)
Generalized Vector Spaces. I (1949) (0)
The Philosophical Atmosphere in Vienna (1994) (0)
Five Epistemological Notes about Good and Evil (1974) (0)
Why the Circle Invited me. The Theory of Curves and Dimension Theory (1994) (0)
Logic, Imagination, Reality, Evaluations (1974) (0)
The Cultural Background (1994) (0)
Über stetige Abbildungen (0)
Chapter I: The Algebra of Functions of One Variable (1944) (0)
Generalized Vector Spaces. I. (1949) (0)
The Saylor Foundation General Equilibrium Theory and Welfare Economics: Theory vs. Praxis (0)
Wittgenstein, Brouwer, and the Circle (1994) (0)
On Definitions, Especially of Dimension (1979) (0)
Discussions and Notes (1942) (0)
Wittgenstein on Formulae and Variables (1979) (0)
The Circle on Ethics (1994) (0)
Chapter III: On Functions of Higher Rank (1944) (0)
A Symposium on the Algebra of Geometry and Related Subjects (1938) (0)
The Basic Concepts of Mathematics. Part I, Algebra. (1957) (0)
New Approach To Teaching Intermediate Mathematics: It is based on a resolution of the spectra of meanings of the letter x and the term variable. (1958) (0)
Discussions in the Circle 1927–30 (1994) (0)
Dimension : Dimension Theory . By Witold Hurewicz and Henry Wallman. 165 pp. Princeton University Press. 1941. $3.00. (1942) (0)
Title and Copyright Pages (1944) (0)
The Basic Concepts of Mathematics. Part I Algebra (1958) (0)
MATHEMATICAL SYMPOSIUM AT THE UNIVERSITY OF NOTRE DAME. (1940) (0)
A SYMPOSIUM ON METRIC GEOMETRY. (1939) (0)
Gemeinsame Züge der älteren Moralsysteme und Ethiken (1934) (0)
Einige Richtlinien für die folgende Behandlung der ethischen Fragen (1934) (0)
NEW INTERNSITY MEASUREMENTS ON $CO_{2}$ (1981) (0)
Die Zusammenhangseigenschaften der Räume (0)
Logik, Phantasie, Wirklichkeit, Wertungen (1934) (0)
Book Review:The Modern Aspect of Mathematics Lucienne Felix, Julius H. Hlavaty, Francille H. Hlavaty (1962) (0)
Obituary (1976) (0)
Theorie der dimensionellen Raumstruktur (0)
Bericht über das Kolloquium 1931/32 . Gesammelte Mitteilungen des Jahres 1931/32 (0)
A Note on a Previous Paper “New Foundations of Projective and Affine Geometry” (1937) (0)
Gulliver in Applyland (1979) (0)
The United States 1930–31 (1994) (0)
Moritz Schlick’s Final Years (1994) (0)
Bericht über das Kolloquium 1929/30 ; Gesammelte Mitteilungen des Jahres 1929/30 (1932) (0)
A Symposium on the Calculus of Variations (1937) (0)
Committee on Mathematical Biology (1956) (0)
A Theory of the Application of the Function Concept to Science (1979) (0)
Die veräußerlichte Ethik der Entschlüsse (1934) (0)
Advanced Problems: 5575,5610-5619 (1968) (0)
Author's Reply (1970) (0)
Einführung in die mengentheoretische Geometrie (0)
A SYMPOSIUM ON THE ALGEBRA OF GEOMETRY AND RELATED SUBJECTS. (1938) (0)
Bericht über das Kolloquium 1930/31 . Gesammelte Mitteilungen des Jahres 1930/31 (0)
Square Circles (The Taxicab Geometry) (1979) (0)
Wittgenstein’s Tractatus and the Early Circle (1994) (0)
Five Logico-Mathematical Notes on Voluntary Associations (1974) (0)
On the Formulation of Certain Questions in Arithmetic (1979) (0)
A foundation of projective geometry (1937) (0)
Zusammenfassungen und Ausblicke (0)
A Symposium on Metric Geometry (1939) (0)
The Ethics of Decisions a Dialog on Demystified Ethics (1974) (0)
On the Relation Between Calculus of Probability and Statistics (1944) (0)
A Transform forLogic Networks (1969) (0)
On the Communication of Metaphysical Ideas. Wittgenstein’s Ontology (1994) (0)
Chapter II: The Algebra of Calculus (1944) (0)
Common Traits of the Classical Systems of Ethics (1974) (0)
A Theory of Length and Its Applications to the Calculus of Variations. (1939) (0)
A SYMPOSIUM ON THE CALCULUS OF VARIATIONS. (1937) (0)
Discussions in The Circle 1931–34 (1994) (0)
Metric Affine Geometry.@@@Generalized Clifford Parallelism.@@@Studies in Geometry. (1973) (0)
Ludwig Wittgenstein’s Austrian Dictionary (1994) (0)
Vignettes of the Members of the Circle in 1927 (1994) (0)
Vorbemerkung des Herausgebers ; Gesammelte Mitteilungen der Jahre 1928/29 (1931) (0)
ON NECESSARY AND ON SUFFICIENT CONDITIONS IN ELEMENTARY MATHEMATICS1 (1939) (0)
Ultrasets and the Paradoxes of Set Theory (1979) (0)
Reminiscences of the Wittgenstein Family (1994) (0)

This paper list is powered by the following services:

Other Resources About Karl Menger

en.wikipedia.org

What Schools Are Affiliated With Karl Menger?

Karl Menger is affiliated with the following schools:

Image Attributions

Image Source for Karl Menger