Bartle, Robert Gardner 1927
Overview
Works:  43 works in 336 publications in 8 languages and 6,177 library holdings 

Genres:  Conference papers and proceedings Bibliography Educational films Filmed lectures Nonfiction films Textbooks 
Roles:  Author, Collector, Editor, Contributor, Other 
Classifications:  QA300, 517 
Publication Timeline
.
Most widely held works about
Robert Gardner Bartle
Most widely held works by
Robert Gardner Bartle
The elements of real analysis by
Robert Gardner Bartle(
Book
)
57 editions published between 1964 and 1992 in 3 languages and held by 1,592 WorldCat member libraries worldwide
A glimpse at st theory; The real numbers; The topology of cartesian spaces; Convergence; Continuous functions; Functions of one variable; Infinite series
57 editions published between 1964 and 1992 in 3 languages and held by 1,592 WorldCat member libraries worldwide
A glimpse at st theory; The real numbers; The topology of cartesian spaces; Convergence; Continuous functions; Functions of one variable; Infinite series
Introduction to real analysis by
Robert Gardner Bartle(
Book
)
31 editions published between 1982 and 2011 in English and Italian and held by 1,001 WorldCat member libraries worldwide
"This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and userfriendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing pointset topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible"
31 editions published between 1982 and 2011 in English and Italian and held by 1,001 WorldCat member libraries worldwide
"This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and userfriendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing pointset topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible"
The elements of integration by
Robert Gardner Bartle(
Book
)
23 editions published between 1964 and 1970 in English and held by 708 WorldCat member libraries worldwide
Measurable functions; Measures; The integral; Integrable functions; The lebesgue spaces; Modes of convergence; Decomposition of measures; Generation of measures; Product measures
23 editions published between 1964 and 1970 in English and held by 708 WorldCat member libraries worldwide
Measurable functions; Measures; The integral; Integrable functions; The lebesgue spaces; Modes of convergence; Decomposition of measures; Generation of measures; Product measures
Studies in functional analysis by
Robert Gardner Bartle(
Book
)
16 editions published in 1980 in English and held by 568 WorldCat member libraries worldwide
16 editions published in 1980 in English and held by 568 WorldCat member libraries worldwide
A modern theory of integration by
Robert Gardner Bartle(
Book
)
12 editions published in 2001 in English and held by 385 WorldCat member libraries worldwide
The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is better because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with improper integrals
12 editions published in 2001 in English and held by 385 WorldCat member libraries worldwide
The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is better because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with improper integrals
Linear operators by
Nelson Dunford(
Book
)
73 editions published between 1957 and 1988 in English and French and held by 351 WorldCat member libraries worldwide
Part 1: general theory
73 editions published between 1957 and 1988 in English and French and held by 351 WorldCat member libraries worldwide
Part 1: general theory
The elements of integration and Lebesgue measure by
Robert Gardner Bartle(
Book
)
21 editions published between 1994 and 2014 in English and Turkish and held by 265 WorldCat member libraries worldwide
The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T.W. Anderson The Statistical Analysis of Time Series T.S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T.J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Rob
21 editions published between 1994 and 2014 in English and Turkish and held by 265 WorldCat member libraries worldwide
The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T.W. Anderson The Statistical Analysis of Time Series T.S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T.J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Rob
Geometry of normed linear spaces : proceedings of a conference held June 912, 1983, in honor of Mahlon Marsh Day by
Robert Gardner Bartle(
Book
)
18 editions published in 1986 in English and held by 264 WorldCat member libraries worldwide
18 editions published in 1986 in English and held by 264 WorldCat member libraries worldwide
Calculus by
Robert Gardner Bartle(
Book
)
9 editions published between 1968 and 1973 in English and held by 241 WorldCat member libraries worldwide
9 editions published between 1968 and 1973 in English and held by 241 WorldCat member libraries worldwide
Honors calculus by
Robert Gardner Bartle(
Book
)
4 editions published in 1970 in English and held by 165 WorldCat member libraries worldwide
4 editions published in 1970 in English and held by 165 WorldCat member libraries worldwide
An introduction to calculus by
Robert Gardner Bartle(
Book
)
7 editions published between 1968 and 1972 in English and Chinese and held by 155 WorldCat member libraries worldwide
7 editions published between 1968 and 1972 in English and Chinese and held by 155 WorldCat member libraries worldwide
Solutions manual to A modern theory of integration by
Robert Gardner Bartle(
Book
)
3 editions published in 2001 in English and held by 99 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 99 WorldCat member libraries worldwide
Introducción al análisis matemático de una variable by
Robert Gardner Bartle(
Book
)
23 editions published between 1970 and 2010 in Spanish and held by 77 WorldCat member libraries worldwide
Los números reales  Sucesiones  Límites  Funciones continuas  Derivación  La integral de Riemann  Sucesiones de funciones  Series infinitas  La topología de R
23 editions published between 1970 and 2010 in Spanish and held by 77 WorldCat member libraries worldwide
Los números reales  Sucesiones  Límites  Funciones continuas  Derivación  La integral de Riemann  Sucesiones de funciones  Series infinitas  La topología de R
On the openness and inversion of differentiable mappings by
Robert Gardner Bartle(
Book
)
2 editions published in 1958 in English and held by 29 WorldCat member libraries worldwide
2 editions published in 1958 in English and held by 29 WorldCat member libraries worldwide
Fifty years of Mathematical Reviews by
Saunders Mac Lane(
Visual
)
2 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide
Mathematical Reviews celebrated its 50th anniversary at the Joint Mathematics Meetings in Louisville, KY in January 1990. Saunders Mac Lane highlighted the event with an anecdotal history of the periodical, culling some of the amusingly scathing reviews that have appeared and even discovering a case of what might be a record for getting the largest number of papers out of a single theorem." ... a fitting tribute from one great influence in mathematics to another."
2 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide
Mathematical Reviews celebrated its 50th anniversary at the Joint Mathematics Meetings in Louisville, KY in January 1990. Saunders Mac Lane highlighted the event with an anecdotal history of the periodical, culling some of the amusingly scathing reviews that have appeared and even discovering a case of what might be a record for getting the largest number of papers out of a single theorem." ... a fitting tribute from one great influence in mathematics to another."
Solution manual to A modern theory of integration by
Robert Gardner Bartle(
Book
)
3 editions published in 2001 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 10 WorldCat member libraries worldwide
Linejnye operatory : spektralnye operatory by
Nelson Dunford(
Book
)
3 editions published between 1962 and 1974 in Russian and held by 3 WorldCat member libraries worldwide
3 editions published between 1962 and 1974 in Russian and held by 3 WorldCat member libraries worldwide
Solution manual to A modern theory of integration by
Robert Gardner Bartle(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Geometry of Normed Linear Spaces by
Robert Gardner Bartle(
)
1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Sherbert, Donald R. 1935 Translator
 Ionescu Tulcea, C. (Cassius) 1923
 Dunford, Nelson Author
 Bade, William G. Other Editor Collector Contributor
 Schwartz, Jacob T.
 Day, Mahlon Marsh Dedicatee
 National Science Foundation (U.S.)
 Mathematical Association of America
 Conference on the Geometry of Normed Linear Spaces (1983, Urbana, Ill.; Champaign, Ill.)
 Piña García, Rodolfo
Useful Links
Associated Subjects
Algebras, Linear Calculus Canada College teachers Editors Educational assistance Functional analysis Functions of real variables Hilbert space Integrals Integrals, Generalized Lebesgue integral Linear operators Mathematical analysis Mathematics Measure theory Normed linear spaces Research Scientists Spectral theory (Mathematics) Teachers United States Universities and collegesFaculty
Alternative Names
Bartl, R.
Bartle, R. G.
Bartle, R. G. 1927
Bartle, R. G. 19272003
Bartle, R. G. (Robert Gardner), 1927
Bartle, Robert G.
Bartle, Robert G. 1927
Bartle, Robert G. 19272003
Bartle, Robert G. (Robert Gardner), 1927
Bartle, Robert Gardner
Bartle, Robert Gardner 19272003
Robert G. Bartle American mathematician
Robert G. Bartle mathématicien américain
Robert G. Bartle USamerikanischer Mathematiker
Бартл, Р..
بارتل، روبرت جاردنر
바틀, 로버트 G. 19272003
바틀, 로버트 가드너 19272003
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