Robert G. Bartle | Academic Influence

Robert G. Bartle's AcademicInfluence.com Rankings

Robert G. Bartle

Mathematics

#779

World Rank

#1407

Historical Rank

#341

USA Rank

Measure Theory

#320

World Rank

#485

Historical Rank

#140

USA Rank

mathematics Degrees

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Mathematics

Robert G. Bartle's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of California, Berkeley

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Why Is Robert G. Bartle Influential?

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According to Wikipedia, Robert Gardner Bartle was an American mathematician specializing in real analysis. He is known for writing the popular textbooks The Elements of Real Analysis , The Elements of Integration , and Introduction to Real Analysis with Donald R. Sherbert, published by John Wiley & Sons.

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Robert G. Bartle'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

The elements of integration and Lebesgue measure (1995) (393)
Spectral theory : self adjoint operators in Hilbert space (1963) (383)
Weak Compactness and Vector Measures (1955) (277)
A modern theory of integration (2001) (258)
A general bilinear vector integral (1956) (165)
Mappings between function spaces (1952) (139)
The Elements of Integration and Lebesgue Measure: Bartle/The Elements (1995) (92)
Introduction to real analysis / Robert G. Bartle (2002) (82)
Return to the Riemann Integral (1996) (74)
On compactness in functional analysis (1955) (69)
Newton’s method in Banach spaces (1955) (59)
Singular points of functional equations (1953) (25)
Nets and Filters in Topology (1955) (24)
The preservation of convergence of measurable functions under composition (1961) (17)
Spectral localization of operators in Banach spaces (1964) (16)
Some localizations of the spectral mapping theorem (1973) (15)
Introduction to real analysis / Robert G. Bartle, Donald R. Sherbert (1982) (15)
Studies in Functional Analysis (1980) (12)
An Extension of Egorov's Theorem (1980) (10)
Spectral Decomposition of Operators in Banach Spaces (1970) (9)
A brief history of the mathematical literature (1995) (8)
Implicit functions and solutions of equations in groups (1955) (8)
An introduction to calculus (1968) (7)
Decomposition of Measures (2011) (5)
The elements of real analysis / Robert G. Bartle (1976) (4)
Book Review: The general theory of integration (1993) (4)
Some partial solutions (2001) (1)
A Correction for “Nets and Filters in Topology” (1963) (1)
One Mathematician Looks at the Classification of Mathematics (1959) (1)
The arctangent lemma (2001) (0)
Geometry of normed linear spaces : proceedings of a conference held June 9-12, 1983, in honor of Mahlon Marsh Day (1986) (0)
Measure, measurability, and multipliers (2001) (0)
Normed linear spaces (2001) (0)
Gauges and integrals (2001) (0)
Relations between nets and indexed filter bases (1963) (0)
Generalizations of Self-Adjointness to Banach Spaces (1986) (0)
Local spectral mapping theorems (1973) (0)
Integrability and mean convergence (2001) (0)
The Lebesgue Spaces Lp (2011) (0)
Lebesgue’s differentiation theorem (2001) (0)
Limits superior and inferior (2001) (0)
The Outer Measure (2011) (0)
Riemann-Stieltjes integral (2001) (0)
Generation of Measures (2011) (0)
Further re-examination (2001) (0)
Basic properties of the integral (2001) (0)
Additivity and Nonadditivity (2011) (0)
Reviews (2002) (0)
Introduction to Part 2 (2001) (0)
Weakly compact operators on function spaces (0)
Volumes of Cells and Intervals (2011) (0)
THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)
The fundamental theorems of calculus (2001) (0)
Geometry of Normed Linear Spaces (1986) (0)
The Saks-Henstock lemma (2001) (0)
Applications to calculus (2001) (0)
Examples of Measurable Sets (2011) (0)
SINGULAR POINTS OF FUNCTIONAL EQUATIONSO) (2010) (0)
Solutions Manual to a Modern Theory of Integration (2001) (0)
Index to the Mathematical Gazette (1977) (0)
Sequences of functions (2001) (0)
Modes of Convergence (2011) (0)
Approximation of Measurable Sets (2011) (0)
The elements of real analysis / Robert Gardner Bartle (1975) (0)
Unbounded sets and sequences (2001) (0)
Nonmeasurable and Non‐Borel Sets (2011) (0)

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What Schools Are Affiliated With Robert G. Bartle?

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