William Fogg Osgood
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American mathematician
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William Fogg Osgoodmathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Why Is William Fogg Osgood Influential?
(Suggest an Edit or Addition)According to Wikipedia, William Fogg Osgood was an American mathematician. Education and career William Fogg Osgood was born in Boston on March 10, 1864. In 1886, he graduated from Harvard, where, after studying at the universities of Göttingen and Erlangen , he was instructor , assistant professor , and thenceforth professor of mathematics. From 1918 to 1922, he was chairman of the department of mathematics at Harvard. He became professor emeritus in 1933. From 1934 to 1936, he was visiting professor of mathematics at Peking University.
William Fogg Osgood'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
- Introduction to the calculus (84)
- A Jordan curve of positive area (65)
- Note on the Functions Defined by Infinite Series Whose Terms are Analytic Functions of a Complex Variable; with Corresponding Theorems for Definite Integrals (40)
- On the existence of the Green's function for the most general simply connected plane region (1900) (39)
- Conformal transformations on the boundaries of their regions of definitions (1913) (39)
- Non-Uniform Convergence and the Integration of Series Term by Term (1897) (38)
- Topics in the Theory of Functions of Several Complex Variables (1913) (25)
- Plane And Solid Analytic Geometry (21)
- On functions of several complex variables (16)
- Functions of real variables (1937) (14)
- Sufficient conditions in the calculus of variations (13)
- Some points in the elements of the theory of functions (1896) (8)
- On normal forms of differential equations (7)
- Curricula in mathematics : a comparison of courses in the countries represented in the International Commission on the Teaching of Mathematics (6)
- The life and services of Maxime Bôcher (1919) (5)
- On the transformation of the boundary in the case of conformal mapping (1903) (5)
- Factorization of Analytic Functions of Several Variables. (1917) (5)
- The Symbolic Notation of Aronhold and Clebsch (1892) (5)
- On a fundamental property of a minimum in the calculus of variations and the proof of a theorem of weierstrass's (1901) (4)
- Selected topics in the general theory of functions (1898) (4)
- On a theorem of oscillation (1919) (4)
- The Madison Colloquium (1914) (4)
- On a gap in the ordinary presentation of Weierstrass’s theory of functions (1904) (4)
- The Integral as the Limit of a Sum, and a Theorem of Duhamel's (1903) (3)
- Example of a single–valued function with a natural boundary, whose inverse is also single–valued (1898) (3)
- Supplementary note on a single-valued function with a natural boundary, whose inverse is also single-valued (1898) (2)
- Note on the generalization of Poincaré and Goursat's proof of a theorem of Weierstrass's (1898) (2)
- Functions of a complex variable (1938) (2)
- A geometrical method for the treatment of uniform convergence and certain double limits (1896) (2)
- Problems in Infinite Series and Definite Integrals; with a Statement of Certain Sufficient Conditions Which are Fundamental in The Theory of Definite Integrals (2)
- The Theory of Functions (1895) (2)
- On the gyroscope (1922) (1)
- On the Uniformization of Algebraic Functions (1)
- Note on the gyroscope (1933) (1)
- On infinite regions (1916) (1)
- REPORT OF THE COMMITTEE OF THE UNIVERSITY COUNCIL APPOINTED TO CONSIDER THE COMMUNICATION OF THE ROYAL SOCIETY RELATING TO A CATALOGUE OF SCIENTIFIC PAPERS TO BE MADE BY INTERNATIONAL COOPERATION. (1895) (1)
- On the Existence of a Minimum of the Integral x 1 x 0 F(x,y,y )dx when x 0 and x 1 are Conjugate Points, and the Geodesics on an Ellipsoid of Revolution: A Revision of a Theorem of Kneser's (1901) (1)
- A General Survey of the Field (1914) (1)
- On Cantor’s theorem concerning the coefficients of a convergent trigonometric series, with generalizations (1909) (1)
- A geometric proof of a fundamental theorem concerning unicursal curves (1896) (0)
- The Locus Defined by Parametric Equations (1931) (0)
- Discussions: Is There a Student Standard of Truth? A Reply (1927) (0)
- A condition that a function in a projective space be rational (1912) (0)
- A First Course in the Calculus. Part II (1920) (0)
- Steele Prize for Mathematical Exposition (0)
- On the existence of a minimum of the integral ∫^{₁}_{₀}(,,’) when ₀ and ₁ are conjugate points, and the geodesics on an ellipsoid of revolution: a revision of a theorem of Kneser’s (1901) (0)
- Invariants of a modular group. Formal Invariants and covariants of modular forms. Applications (1914) (0)
- Some General Theorems (1914) (0)
- The Madison Colloquium Lectures on Mathematics. (1914) (0)
- On the Singular Points in the Problem of Inversion (1932) (0)
- Note on functions of several complex variables (1916) (0)
- Errata: “On the existence of the Green’s function for the most general simply connected plane region” [Trans.\ Amer.\ Math.\ Soc. 1 (1900), no. 3, 310–314; 1500539] (1901) (0)
- Charles Leonard Bouton (1922) (0)
- The Duhamel Theorem: A Discussion of a Review of Woods' "Advanced Calculus," in Three Parts (1927) (0)
- The number system after Dedekind (1935) (0)
- GABRIEL MARCUS GREEN. (1919) (0)
- The Prime Function on an Algebraic Configuration (1914) (0)
- The Algebraic Functions and Their Integrals (1896) (0)
- A theory of plane cubic curves with a real inflexion point valid in ordinary and in modular geometry (1914) (0)
- On Neumann's Existence Proof (1924) (0)
- A theory of invariants applicable to algebraic and modular forms (1914) (0)
- Modular geometry and covariantive theory of a quadratic form in variables modulo 2 (1914) (0)
- Huntington's Theorem on Moments (1931) (0)
- On invariants and the theory of numbers . Topics in the theory of fuctions of several complex variables (0)
- Errata: “On a fundamental property of a minimum in the calculus of variations and the proof of a theorem of Weierstrass’s” [Trans. Amer. Math. Soc. 2 (1901), no. 3, 273–295; 1500569] (1901) (0)
- Singular Points and Analytic Continuation (1914) (0)
- An Elementary Course of Infinitesimal Calculus (1898) (0)
- Singular points of analytic transformations (1917) (0)
- An Elementary Course of Infinitesimal Calculus . By Horace Lamb, M.A., F.R.S., Professor of Mathematics in the Owens College, Victoria University, Manchester; formerly Fellow of Trinity College, Cambridge. Cambridge, University Press. 1897. Crown 8vo. Pp. xx + 616. (1898) (0)
- Seminvariants of algebraic and modular binary forms (1914) (0)
- A Weighty Matter (1937) (0)
- Note on periodic functions of several complex variables (1930) (0)
- The System of Two Simultaneous Ternary Quadratic Forms (1892) (0)
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