Rudolf Ernest Langer

Rudolf Ernest Langer's AcademicInfluence.com Rankings

Mathematics

#3003

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Measure Theory

#622

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Mathematics

Why Is Rudolf Ernest Langer Influential?

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According to Wikipedia, Rudolf Ernest Langer was an American mathematician, known for the Langer correction and as a president of the Mathematical Association of America. Career Langer, the elder brother of William L. Langer, earned his PhD in 1922 from Harvard University under G. D. Birkhoff. He taught mathematics at Dartmouth College from 1922 to 1925. From 1927 to 1964 he was a mathematics professor at the University of Wisconsin-Madison and, from 1942 to 1952, the chair of the mathematics department. From 1956 to 1963 he was the director of the Army Mathematics Research Center; he was succeeded as director by J. Barkley Rosser. Langer's doctoral students include Homer Newell, Jr. and Henry Scheffé.

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Rudolf Ernest Langer'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

On the Connection Formulas and the Solutions of the Wave Equation (1937) (672)
Relativity And Modern Physics (1925) (415)
Proceedings of Symposia in Applied Mathematics (1960) (303)
Interpolation and Approximation by Rational Functions in the Complex Domain (1937) (264)
On Numerical Approximation (1959) (216)
On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order (1931) (179)
On the zeros of exponential sums and integrals (1931) (149)
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point (1949) (143)
An inverse problem in differential equations (1933) (109)
The Boundary Problems and Developments Associated with a System of Ordinary Linear Differential Equations of the First Order (101)
On the asymptotic solutions of ordinary differential equations, with reference to the Stokes’ phenomenon about a singular point (1935) (82)
Boundary Problems in Differential Equations (1960) (82)
A Problem in Diffusion or in the Flow of Heat for a Solid in Contact with a Fluid (1932) (76)
On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order (1932) (72)
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon (1934) (69)
The asymptotic solutions of certain linear ordinary differential equations of the second order (1934) (40)
Algebraic Principles for the Analysis of a Biochemical System (1967) (38)
The asymptotic solutions of a linear differential equation of the second order with two turning points (1959) (36)
Correction to “The boundary problem of an ordinary linear differential system in the complex domain” (1939) (35)
On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics (1957) (28)
The solutions of the Mathieu equation with a complex variable and at least one parameter large (1934) (24)
The solutions of the differential equation $v'''+\lambda^2zv'+3\mu\lambda^2v=0$ (1955) (22)
Partial Differential Equations and Continuum Mechanics. (1962) (22)
The asymptotic location of the roots of a certain transcendental equation (1929) (21)
Orbit theory : [proceedings of the Ninth Symposium in Applied Mathematics of the American Mathematical Society, held at New York University, April 4-6, 1957 (1959) (18)
The boundary problem associated with a differential equation in which the coefficient of the parameter changes sign (17)
The expansion problem in the theory of ordinary linear differential systems of the second order (1929) (15)
On the asymptotic forms of the solutions of ordinary linear differential equations of the third order in a region containing a turning point (1955) (15)
Asymptotic solutions of a differential equation in the theory of microwave propagation (1950) (13)
On the wave equation with small quantum numbers (1949) (12)
The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point (1956) (11)
On the stability of the laminar flow of a viscous fluid (1940) (10)
On the determination of earth conductivity from observed surface potentials (1936) (9)
Formal solutions and a related equation for a class of fourth order differential equations of a hydrodynamic type (1959) (9)
A Note on the Theory of Vibration-Rotation Interaction (1949) (6)
Asymptotic Theories for Linear Ordinary Differential Equations Depending Upon a Parameter (1959) (6)
Theory and Application of Liapunov's Direct Method; Oscillations in Nonlinear Systems; and Nonlinear Problems (1963) (5)
On the theory of integral equations with discontinuous kernels (1926) (4)
An Excerpt from the Works of Euler (1957) (4)
Review: Vito Volterra, Theory of Functionals and of Integral and Integro-differential Equations (1932) (3)
A theory for ordinary differential boundary problems of the second order and of the highly irregular type (1943) (3)
On the construction of related differential equations (1956) (3)
Obituary: George David Birkhoff (1946) (3)
The boundary problem associated with a differential system rational in the parameter (1930) (2)
Frontiers of Numerical Mathematics (1961) (2)
On integral equations with discontinuous kernels (1928) (2)
Transformations, Semigroups, and Metabolism (1968) (2)
The Things I Should Have Done, I Did not Do (1952) (2)
Ordinary Differential Equations. (1954) (2)
Developments associated with a boundary problem not linear in the parameter (1923) (2)
On a class of integral equations with discontinuous kernels (1927) (1)
Three theorems on closure of biorthogonal systems of functions (1)
The New Mathematics “Requirement” at the University of Wisconsin (1935) (1)
Alexandria—Shrine of Mathematics (1941) (1)
Nonlinear problems : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 30-May 2, 1962 (1963) (1)
CHAPTER XI. DYNAMICS, HYDRODYNAMICS, ELASTICITY (1927) (0)
Mathematics. (Scientific Books: Mathematics--Its Magic and Mastery; To Discover Mathematics) (1942) (0)
CHAPTER X. FOUR-DIMENSIONAL SPACE-TIME (1927) (0)
CHAPTER VI. VECTORS AND TENSORS IN TWO DIMENSIONS (0)
CHAPTER VII. ONE-DIMENSIONAL HYDRODYNAMICS (1927) (0)
A notion of uniform integrability (1926) (0)
Josiah Willard Gibbs (1939) (0)
CHAPTER VIII. TENSOR ANALYSIS (1927) (0)
Partial differential equations and continuum mechanics : proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7-15, 1960 (1961) (0)
Ford on Asymptotic Developments (1937) (0)
CHAPTER I. CLASSICAL PHYSICS (1927) (0)
What are Eigen-Werte? (1943) (0)
MATHEMATICS AS AN ENTRANCE REQUIREMENT AT THE UNIVERSITY OF WISCONSIN (1935) (0)
CHAPTER XIV. THE GRAVITATIONAL FIELD (1927) (0)
CHAPTER IV. ISOTROPIC AND AEOLOTROPIC SPACE-TIME (1927) (0)
Frontiers of numerical mathematics : a symposium conducted by the Mathematics Research Center, United States Army and the National Bureau of Standards at the University of Wisconsin, Madison, Wisconsin, October 30 and 31, 1959 (1960) (0)
EUCLID'S “ELEMENTS”* (1934) (0)
The Herbert Ellsworth Slaught Memorial Papers (1941) (0)
CHAPTER XIII. LINEAR TENSOR EQUATIONS (1927) (0)
On the momental constants of a summable function (0)
CHAPTER XII. ELECTROMAGNETISM (1927) (0)
The expansion theory of ordinary differential systems of the first order (1937) (0)
On numerical approximation : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958 (1959) (0)
CHAPTER II. INTRODUCTION TO SPACE-TIME (1927) (0)
CHAPTER IX. GRAVITATION IN TWO-DIMENSIONAL SPACE-TIME (1927) (0)
Symposium on Numerical Approximation (1961) (0)
Electromagnetic waves : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 10-12, 1961 (1962) (0)
Reflections of a College Teacher on Mathematics in the High School (0)
CHAPTER XVI. APPLICATIONS IN THE SOLAR FIELD (1927) (0)
Boundary problems in differential equations : proceedings of a symposium conducted by the Mathematics Research Center, at the University of Wisconsin, Madison, April 20-22, 1959 (1960) (0)
CHAPTER III. THE ISOMETRIC ASSUMPTION (0)
CHAPTER XV. THE SOLAR GRAVITATIONAL FIELD (1927) (0)
Some General Remarks Concerning Scientific Exposition (1934) (0)
CHAPTER V. DYNAMICS OF A LINEAR SET OF PARTICLES (1927) (0)
A. Why We Teach Mathematics (1954) (0)

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