Oswald Veblen | Academic Influence

Oswald Veblen's AcademicInfluence.com Rankings

Oswald Veblen

Mathematics

#123

Historical Rank

Measure Theory

#172

Historical Rank

mathematics Degrees

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Mathematics

Oswald Veblen's Degrees

PhD Mathematics University of Chicago

Why Is Oswald Veblen Influential?

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According to Wikipedia, Oswald Veblen was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity. He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof of the theorem, many now also consider Camille Jordan's original proof rigorous.

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Oswald Veblen'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

Continuous increasing functions of finite and transfinite ordinals (1908) (114)
Theory on plane curves in non-metrical analysis situs (107)
A system of axioms for geometry (1904) (103)
Non-Desarguesian and non-Pascalian geometries (1907) (98)
An Application of Modular Equations in Analysis Situs (88)
Invariants of Quadratic Differential Forms (85)
The geometry of paths (1923) (76)
The Foundations of Differential Geometry (1932) (67)
Finite projective geometries (1906) (61)
On the Deformation of an N-Cell. (1917) (58)
Modern differential geometry (1934) (57)
The Riemann Geometry and Its Generalization. (1922) (42)
Normal Coördinates for the Geometry of Paths. (1922) (33)
Projective Invariants of Affine Geometry of Paths (1926) (33)
Geometry of Two-Component Spinors. (1933) (33)
A Set of Assumptions for Projective Geometry (1908) (31)
A Set of Axioms for Differential Geometry. (1931) (30)
On Matrices Whose Elements Are Integers (1921) (25)
Geometry of Four-Component Spinors. (1933) (24)
Invariants of Quadratic Differential Forms (Cambridge Tracts in Mathematics) (24)
Differential Invariants and Geometry (22)
Projective Tensors and Connections. (1928) (16)
Generalized Projective Geometry (1929) (16)
Manifolds of N Dimensions (15)
Projective and Affine Geometry of Paths. (1922) (14)
Extensions of relative tensors (1924) (14)
Remarks on the foundations of geometry (1925) (13)
The intersection numbers (1923) (12)
Spinors in Projective Relativity. (1933) (11)
Criticisms and Discussions: Hilbert's Foundations of Geometry. (11)
Definition in terms of order alone in the linear continuum and in well-ordered sets (1905) (11)
Projective Normal Coördinates for the Geometry of Paths. (1925) (11)
A Conformal Wave Equation. (1935) (11)
Collineations in a finite projective geometry (1907) (11)
Equiaffine Geometry of Paths. (8)
The Heine-Borel theorem (1904) (8)
Formalism for Conformal Geometry. (1935) (8)
The Dirac Equation in Projective Relativity. (1934) (7)
A GENERALIZATION OF THE QUADRATIC DIFFERENTIAL FORM (7)
Henry Burchard Fine—In memoriam (1929) (7)
Conformal Tensors and Connections. (1928) (6)
The square root and the relations of order (1906) (6)
Introduction to Infinitesimal Analysis; Functions of One Real Variable (6)
Projective geometry, by Oswald Veblen and John Wesley Young (5)
Book Review: The Continuum as a Type of Order: An Exposition of the Modern Theory. With an Appendix on the Transfinite Numbers (1906) (5)
Projective Differentiation in Spinors. (1934) (5)
Decomposition of an $n$-space by a polyhedron (4)
Geometry of complex domains : a seminar conducted by Professors Oswald Veblen and John Von Neumann, 1935-36 (1958) (4)
Euclid's Parallel Postulate. (3)
The Transcendence of π and e (1904) (3)
Types of Serial Order (1906) (2)
The modern approach to elementary geometry (1934) (2)
On the well-ordered subsets of the continuum (1)
Nels Johann Lennes (1954) (1)
Polar Coordinate Proofs of Trigonometric Formulas (1)
Geometry of complex domains, [Lecture notes] (1958) (1)
Stolz and Gmeiner's Function Theory (1905) (1)
On the Definition of Multiplication of Irrational Numbers (1912) (1)
Invariance of the Poincaré numbers of a discrete group (1924) (1)
Errata: Correction to "A Set of Axioms for Differential Geometry" (1931) (0)
The Cambridge Colloquium (1918) (0)
Implicit functional equations (1918) (0)
Operational Methods in Mathematical Physics.@@@Invariants of Quadratic Differential Forms. (0)
Direct generalizations of the theory of integral equations (1918) (0)
Miscellaneous: 163-167 (1906) (0)
Deane Montgomery Faculty file: bibliography and correspondence (1941) (0)
Review: Georges Lechalas, Introduction a la Géométrie Générale (1905) (0)
Veblen and Young's Projective Geometry@@@Projective Geometry. (1919) (0)
Two-dimensional complexes and manifolds (1918) (0)
The fundamental group and certain unsolved problems (1918) (0)
Complexes and manifolds of dimensions (1918) (0)
Review: J. W. Russell, An Elementary Treatise on Pure Geometry (1907) (0)
Birkhoff on Relativity (1924) (0)
Errata: “Decomposition of an -space by a polyhedron” [Trans. Amer. Math. Soc. 14 (1913), no. 1, 65–72; 1500936] (1914) (0)
Oswald Veblen Faculty file: correspondence, 1930-1931 (1931) (0)
Geometry: 229-232 (1904) (0)
Functionals, derivatives, variational equations (1918) (0)
The Transcendence of | pi and e (1904) (0)
Diophantine Analysis: 132-133 (1906) (0)
Anna Stafford Henriques collection (1935) (0)
To Prevent Misunderstanding (1949) (0)
Integro-differential equtions of Bôcher type (1918) (0)
On the well-ordered subsets of the continuum (1908) (0)

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