Marshall H. Stone | Academic Influence

Marshall H. Stone's AcademicInfluence.com Rankings

Marshall H. Stone

Mathematics

#661

Historical Rank

Ring Theory

#2

Historical Rank

Algebra

#20

Historical Rank

Measure Theory

#338

Historical Rank

mathematics Degrees

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Mathematics

Marshall H. Stone's Degrees

PhD Mathematics University of Chicago

Why Is Marshall H. Stone Influential?

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According to Wikipedia, Marshall Harvey Stone was an American mathematician who contributed to real analysis, functional analysis, topology and the study of Boolean algebrass. Biography Stone was the son of Harlan Fiske Stone, who was the Chief Justice of the United States in 1941–1946. Marshall Stone's family expected him to become a lawyer like his father, but he became enamored of mathematics while he was a Harvard University undergraduate. He completed a Harvard PhD in 1926, with a thesis on differential equations that was supervised by George David Birkhoff. Between 1925 and 1937, he taught at Harvard, Yale University, and Columbia University. Stone was promoted to a full professor at Harvard in 1937.

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Marshall H. Stone'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

Applications of the theory of Boolean rings to general topology (1937) (1249)
The theory of representations for Boolean algebras (1936) (916)
The Generalized Weierstrass Approximation Theorem (1948) (545)
Topological representations of distributive lattices and Brouwerian logics (1938) (365)
Mathematical Thinking in the Social Sciences. (1954) (346)
The Theory of Representation for Boolean Algebras (1936) (323)
On One-Parameter Unitary Groups in Hilbert Space (1932) (312)
Linear transformations in Hilbert space and their applications to analysis (1932) (258)
Linear Transformations in Hilbert Space: III. Operational Methods and Group Theory. (1930) (182)
Boundedness Properties in Function-Lattices (1949) (158)
A General Theory of Spectra. I: I. (1940) (121)
A comparison of the series of Fourier and Birkhoff (1926) (112)
The representation of Boolean algebras (1938) (66)
Algebraic characterizations of special Boolean rings (1937) (57)
Irregular differential systems of order two and the related expansion problems (53)
Postulates for Boolean Algebras and Generalized Boolean Algebras (1935) (43)
Boolean Algebras and Their Application to Topology. (1934) (41)
The determination of representative elements in the residual classes of a Boolean algebra (1935) (39)
Transformations in Hilbert space (1932) (37)
A General Theory of Spectra: II. (1941) (36)
On Unbounded Operators in Hilbert Space (1951) (34)
LINEAR TRANSFORMATIONS IN HILBERT SPACE. I. GEOMETRICAL ASPECTS. (1929) (33)
The spirit and the uses of the mathematical sciences (1969) (30)
Notes on Integration: I. (1948) (27)
Notes on Integration: II. (1948) (24)
The Revolution in Mathematics (1961) (23)
Subsumption of the Theory of Boolean Algebras under the Theory of Rings. (1935) (22)
On the Representation Theorem for Boolean Algebras (1944) (19)
Developments in Hermite Polynomials (16)
Elementary Proof of the Spectral Theorem (1936) (13)
Notes on Integration: IV. (1949) (13)
Certain integrals analogous to Fourier integrals (1928) (11)
Expansions in Bessel Functions (10)
Postulates for generalizations of Hilbert space (1953) (8)
The expansion problems associated with regular differential systems of the second order (1927) (6)
Mathematics and the future of science (1957) (5)
LINEAR TRANSFORMATIONS IN HILBERT SPACE: II. ANALYTICAL ASPECTS. (1929) (5)
Reminiscences of mathematics at Chicago (1989) (5)
Note on Formal Logic (1937) (5)
Hausdorff's theorem concerning Hermitian forms (1930) (5)
The summability of Fourier series (1927) (4)
An unusual type of expansion problem (1924) (4)
Learning and teaching axiomatic geometry (1971) (4)
Elementary proofs of some known theorems of the theory of complex Euclidean spaces (1937) (4)
Fundamental Issues in the Teaching of Elementary School Mathematics (1959) (4)
Developments in Legendre Polynomials (1926) (4)
Review: Steve J. Heims, John von Neumann and Norbert Wiener, from mathematics to the technologies of life and death (1983) (3)
Review: Constance Reid, Courant in Göttingen and New York–The story of an improbable mathematician (1978) (3)
Pseudo-Norms and Partial Orderings in Abelian Groups (1947) (3)
On the theorem of Gelfand-Mazur (1952) (2)
A Note on the Theory of Infinite Series (1931) (2)
Learning and Using the Mathematical Concept of a Function (1965) (2)
AMERICAN MATHEMATICS IN THE PRESENT WAR. (1944) (2)
Convexity : lectures given by Prof. M.H. Stone, University of Chicago, fall quarter, 1946 (1946) (2)
Remarks on a paper of Dr. Tautz (1931) (1)
The Borel Summability of Fourier Series (1926) (1)
Functional analysis and related fields : proceedings of a conference in honor of professor Marshall Stone, held at the University of Chicago, May 1968 (1970) (1)
A Human Chain Reaction (1968) (1)
A reminiscence on the extension of the weierstrass approximation theorem (1976) (1)
Three theorems on normal orthogonal sets (1)
Four Books on Group Theory and Quantum Mechanics (1936) (1)
MAA Studies in Mathematics, Volume 1, Studies in Modern Analysis. (1962) (1)
Some Crucial Problems of Mathematical Instruction in the United States (1957) (1)
Notes on Integration: III. (1948) (1)
A Characteristic Property of Certain Sets of Trigonometric Functions (1927) (1)
The future of mathematics. (1957) (0)
On the Order of an Analytic Function at a Singular Point (1924) (0)
Some Current Trends in Mathematical Research (1966) (0)
Functional Analysis: Lectures on preliminaries to Functional Analysis [MatSciRep:19] (1963) (0)
Bland and Non-Controversial: Training of Specialists in International Relations (1958) (0)
Characteristic functions of families of sets (1940) (0)
Appendix: Discussion and Development of the Mathematics of the Function Concept (1965) (0)
Axioms and Models (1967) (0)
Book Review: The Quantum Theory (1933) (0)
Spectral theory : a series of lectures delivered by M.H. Stone at the Tata Institute of Fundamental Research, 1949-1950 (1950) (0)
Isometric Lattice Isomorphisms between Sobolev Spaces (0)
Book Review:Science Awakening B. L. van der Waerden, Arnold Dresden (1956) (0)
Review: Gaston Julia, Introduction Mathmatique aux Thories Quantiques. Part 2 (1939) (0)
What Universities Can Contribute to the Conduct of Foreign Affairs (1957) (0)
Review: Fritz Reiche, The Quantum Theory (1933) (0)
Remarks on metrizability (1947) (0)
[Sub-groups in the domain of limited states]. (1982) (0)
THE TEACHING OF MATHEMATICS: SOME QUESTIONS, SOME ANSWERS (1975) (0)
The Way to Utopia (1968) (0)
Mathematicians and the new selective service regulations (1944) (0)
The Normal Probability Function and General Frequency Functions (1927) (0)
Some comments on the spectral theorem (1970) (0)
On characteristic functions of families of sets (1945) (0)

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