Brian S. Thomson

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All published works

Action	Title	Year	Authors
+	Can One Visualize a Continuous Nowhere Differentiable Function?	2023	A. M. Bruckner Judith B. Bruckner Brian S. Thomson
+	A Note on Teaching the Riemann Integral	2023	Brian S. Thomson
+	Symmetric Properties of Real Functions	2020	Brian S. Thomson
+	The Bounded Convergence Theorem	2020	Brian S. Thomson
+	On VBG Functions and the Denjoy-Khintchine Integral	2016	Brian S. Thomson
+	Strong Derivatives and Integrals	2014	Brian S. Thomson
+	A Strong Kind of Riemann Integrability	2012	Brian S. Thomson
+ PDF Chat	On Riemann Sums	2012	Brian S. Thomson
+	Monotone Convergence Theorem for the Riemann Integral	2010	Brian S. Thomson
+ PDF Chat	Characterizations of an Indefinite Riemann Integral	2010	Brian S. Thomson
+	Rethinking the Elementary Real Analysis Course	2007	Brian S. Thomson
+	Recovering a Function from a Dini Derivative	2006	John W. Hagood Brian S. Thomson
+	Recovering a Function from a Dini Derivative	2006	John W. Hagood Brian S. Thomson
+	Differentiation	2002	Brian S. Thomson
+	Real variable contributions of G. C. Young and W. H. Young	2001	A. M. Bruckner Brian S. Thomson
+ PDF Chat	A Riemann-Type Integral Based on the Second Symmetric Derivative	1997	C. Freiling D. Rinne Brian S. Thomson
+	Scattered sets and gauges	1996	C. Freiling Brian S. Thomson
+ PDF Chat	A Full Descriptive Definition of the Gage Integral	1995	B. Bongiorno Washek F. Pfeffer Brian S. Thomson
+	A FULL DESCRIPTIVE DEFINITION OF THE GAGE INTEGRAL	1995	B. Bongiorno Washek F. Pfeffer Brian S. Thomson
+ PDF Chat	Measures Defined by Gages	1992	Washek F. Pfeffer Brian S. Thomson
+	Symmetric integrals and trigonometric series	1992	G. E. Cross Brian S. Thomson
+	Elementary Real Analysis	1991	Brian S. Thomson Judith B. Bruckner A. M. Bruckner
+ PDF Chat	The Approximate Symmetric Integral	1989	David Preiss Brian S. Thomson
+	More on the Fundamental Theorem of Calculus	1988	Charles Swartz Brian S. Thomson
+	More on the Fundamental Theorem of Calculus	1988	Charles Swartz Brian S. Thomson
+ PDF Chat	Porosity and Approximate Derivatives	1986	A. M. Bruckner Miklós Laczkovich G. Petruska Brian S. Thomson
+ PDF Chat	Real Functions	1985	Brian S. Thomson
+	Some Theorems for Extreme Derivates	1983	Brian S. Thomson
+ PDF Chat	Monotonicity Theorems	1981	Brian S. Thomson
+ PDF Chat	Outer Measures and Total Variation	1981	Brian S. Thomson
+	On the Derived Numbers of VBG<sub>∗</sub> Functions	1980	Brian S. Thomson
+ PDF Chat	On Weak Vitali Covering Properties	1978	Brian S. Thomson
+	Measures Generated by a Differentiation Basis	1977	Brian S. Thomson
+ PDF Chat	A Characterization of the Lebesgue Integral	1977	Brian S. Thomson
+	Covering Systems and Derivates in Henstock Division Spaces II	1975	Brian S. Thomson
+	A theory of integration	1972	Brian S. Thomson
+	On McShane’s vector-valued integral	1972	Brian S. Thomson
+	Covering Systems and Derivates in Henstock Division Spaces	1971	Brian S. Thomson
+ PDF Chat	Construction of measures and integrals	1971	Brian S. Thomson
+ PDF Chat	On the Henstock Strong Variational Integral	1971	Brian S. Thomson
+	Constructive Definitions for Non-Absolutely Convergent Integrals	1970	Brian S. Thomson
+	Spaces of Conditionally Integrable Functions	1970	Brian S. Thomson

Common Coauthors

Coauthor	Papers Together
A. M. Bruckner	4
Washek F. Pfeffer	3
B. Bongiorno	2
Charles Swartz	2
John W. Hagood	2
C. Freiling	2
Judith B. Bruckner	2
David Preiss	1
Dan Rinne	1
Miklós Laczkovich	1
G. E. Cross	1
G. Petruska	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals	1969	E. J. McShane	7
+ PDF Chat	A Riemann-Type Integral of Lebesgue Power	1968	Ralph Henstock	7
+ PDF Chat	Differentiation of Real Functions	1994	A. M. Bruckner	6
+	Generalized Integrals of Vector-Valued Functions	1969	Ralph Henstock	5
+	What is a Differential? a New Answer from the Generalized Riemann Integral	1986	Solomon Leader	4
+ PDF Chat	Differentiation of Real Functions	1978	A. M. Bruckner	4
+ PDF Chat	Generalized ordinary differential equations and continuous dependence on a parameter	1957	Jaroslav Kurzweil	4
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	3
+	The Lebesgue Differentiation Theorem via Nonoverlapping Interval Covers	2004	John W. Hagood	3
+	Elementary Real Analysis	1962	H. G. Eggleston	3
+	The General Theory of Integration	1991	Ralph Henstock	3
+	A Unified Theory of Integration	1973	E. J. McShane	3
+ PDF Chat	On the differentiability of functions and summability of trigonometrical series	1936	J. Marcinkiewicz Antoni Zygmund	3
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	2
+	The geometry of fractal sets	1985	K. J. Falconer	2
+ PDF Chat	The divergence theorem	1986	Washek F. Pfeffer	2
+ PDF Chat	A symmetric density property: monotonicity and the approximate symmetric derivative	1988	C. Freiling Dan Rinne	2
+	A Modern Theory of Integration	2001	Robert G. Bartle	2
+ PDF Chat	Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields	1981	Jean Mawhin	2
+	Derivation and Martingales	1970	Charles A. Hayes Christian Y. Pauc	2
+	BOUNDARY PROPERTIES OF ARBITRARY FUNCTIONS	1967	E P Dolženko	2
+ PDF Chat	On the Generality of the AP-Integral	1971	G. E. Cross	2
+ PDF Chat	The Approximate Symmetric Integral	1989	David Preiss Brian S. Thomson	2
+	Characterizing Integrals of Riemann Integrable Functions	2008	Erik Talvila	2
+	Integrals and Trigonometric Series	1983	J. C. Burkill	2
+	Definitions of Riemann Type of the Variational Integrals	1961	Ralph Henstock	2
+ PDF Chat	On the intersection of the sets of the right and left internal approximate derivatives	1973	Luděk Zajı́ček	2
+ PDF Chat	SCATTERED SETS, CHAINS AND THE BAIRE CATEGORY THEOREM	1995	Freiling Thomson	1
+ PDF Chat	SOME PROPERTIES OF VARIATIONAL MEASURES	1998	Thomson	1
+	The Theory of Sets of Points	1972	W. H. Young Grace Chisholm Young	1
+	On variations of functions of one real variable	1997	Washek F. Pfeffer	1
+	Symmetric Properties of Real Functions	2020	Brian S. Thomson	1
+	The Theory of Cluster Sets	1966	E. F. Collingwood A. J. Lohwater	1
+ PDF Chat	THE PROBLEM OF CHARACTERIZING DERIVATIVES REVISITED	1995	Brückner	1
+ PDF Chat	On Riemann Sums	2012	Brian S. Thomson	1
+	A note on trigonometric series	1972	H. Burkill	1
+ PDF Chat	Characterizations of an Indefinite Riemann Integral	2010	Brian S. Thomson	1
+ PDF Chat	Sur les fonctions non dérivables	1931	Stany Mazurkiewicz	1
+ PDF Chat	On the product of derivatives	1973	James M. Foran	1
+ PDF Chat	On approximately continuous functions	1939	Isaiah Maximoff	1
+ PDF Chat	Integrals and summable trigonometric series	1955	R. D. James	1
+ PDF Chat	Symmetric derivates, scattered, and semi-scattered sets	1990	Chris Freiling	1
+ PDF Chat	UPPER AND LOWER HENSTOCK INTEGRALS	1996	Tat Leung Yee Dongsheng	1
+ PDF Chat	Darboux functions of Baire class one and derivatives	1962	C. J. Neugebauer	1
+	On Henstock's Inner Variation and Strong Derivatives	2002	Chew Tuan Seng	1
+	Measures Generated by a Differentiation Basis	1977	Brian S. Thomson	1
+	Geometric Measure Theory	1988	Herbert Fédérer	1
+ PDF Chat	Derivation of the integrals of<i>L</i><sup>(<i>q</i>)</sup>-functions	1976	Charles A. Hayes	1
+ PDF Chat	Products of powers of nonnegative derivatives	1983	Jan Mařík Clifford E. Weil	1
+ PDF Chat	On the differentiability of multiple integrals	1934	Antoni Zygmund	1