ClassicalRealAnalysis.info

BRIAN S THOMSON
LIST OF PUBLICATIONS

[No MR] Thomson, Brian S, THEORY OF THE INTEGRAL, ClassicalRealAnalysis.com (2013) ISBN-10:1467924393

[No MR] Thomson, Brian S, On Riemann sums, Real Analysis Exchange, Vol. 37(1), 2011/2012, pp. 1–22

Thomson, Brian S, A Strong Kind of Riemann Integrability, College Mathematics Journal 43:4, (2012) 313--321.

MR2683613 (2011j:26015) Thomson, Brian S. Characterizations of an indefinite Riemann integral. Real Anal. Exchange 35 (2010), no. 2, 487--492.

[No MR] Bruckner, A. M. ; Thomson, B.S.; Bruckner, J. B.; Mathematical Discovery, ClassicalRealAnalysis.com (2011).

MR2662707 (2011d:26014) Thomson, Brian S. Monotone convergence theorem for the Riemann integral. Amer. Math. Monthly 117 (2010), no. 6, 547--550.

[Chinese Language Version]

MR2388593 Thomson, Brian S. Henstock-Kurzweil integrals on time scales. Panamer. Math. J. 18 (2008), no. 1, 1--19.

MR2384585 (2009a:26006) Thomson, Brian S. The natural integral on the real line. Sci. Math. Jpn. 67 (2008), no. 1, 23--35.

[No MR] Thomson, B.S.; Bruckner, A. M. ; Bruckner, J. B.; ELEMENTARY REAL ANALYSIS, 2nd Edition, ClassicalRealAnalysis.com (2008).

[No MR] Bruckner, A. M. ; Bruckner, J. B.; Thomson, B.S. REAL ANALYSIS, 2nd Edition, ClassicalRealAnalysis.com (2008).

MR2321251 (2008c:26001) Thomson, Brian S. Rethinking the elementary real analysis course. Amer. Math. Monthly 114 (2007), no. 6, 469--490.

MR2202919 (2006i:26010) Hagood, John W. ; Thomson, Brian S. Recovering a function from a Dini derivative. Amer. Math. Monthly 113 (2006), no. 1, 34--46.

MR2083831 (2005g:26014) Thomson, Brian S. Vitali coverings and Lebesgue's differentiation theorem. Real Anal. Exchange 29 (2003/04), no. 2, 957--972.

MR1954615 (2004b:28008) Thomson, Brian S. Differentiation. Handbook of measure theory, Vol. I, II, 179--247, North-Holland, Amsterdam, 2002.

MR1876254 (2003e:01030) Bruckner, Andrew M. ; Thomson, Brian S. Real variable contributions of G. C. Young and W. H. Young. Expo. Math. 19 (2001), no. 4, 337--358.

Thomson, Brian S., VBG FUnctions, Real Analysis Exchange Summer Symposium 2003, 11--118.

[No MR] Thomson, B.S.; Bruckner, A. M. ; Bruckner, J. B.; ELEMENTARY REAL ANALYSIS, Prentice Hall (2001).

[No MR] Bruckner, Andrew M. ; Thomson, Brian S., De la Vallée Poussin's decomposition theorem,
Introduction to the collected works of C. De la Vallée Poussin, Acad. Royal de Belgique and Circ. Math. de Palermo Vol II, (2000), 12--23.

MR1778525 (2001h:26014) Thomson, Brian S. The space of Denjoy-Perron integrable functions. Real Anal. Exchange 25 (1999/00), no. 2, 711--726.

MR1704758 (2000g:26006) Thomson, Brian S. Some properties of variational measures. Real Anal. Exchange 24 (1998/99), no. 2, 845--853.

[No MR] Some influences, Real Analysis Exchange (1998-99) Vol.24 no. 1, 13--24.

MR1691755 (2000g:28029) Shi, Hongjian ; Thomson, Brian S. Haar null sets in the space of automorphisms on [0,1]. Real Anal. Exchange 24 (1998/99), no. 1, 337--350.

MR1609830 (99f:28005) Thomson, Brian S. σ-finite Borel measures on the real line. Real Anal. Exchange 23 (1997/98), no. 1, 185--192.

MR1610467 (99c:26004) Freiling, C. ; Rinne, D. ; Thomson, B. S. A Riemann-type integral based on the second symmetric derivative. J. London Math. Soc. (2) 56 (1997), no. 3, 539--556.

[No MR]   Bruckner, A. M. ; Bruckner, J. B.; Thomson, B.S. REAL ANALYSIS, Prentice Hall (1997).


MR1426684 (97j:26008) Bongiorno, B. ; Pfeffer, W. F. ; Thomson, B. S. A full descriptive definition of the gage integral.
Canad. Math. Bull. 39 (1996), no. 4, 390--401.


MR1407282 (97i:26004) Freiling, C. ; Thomson, B. S. Scattered sets and gauges.
Real Anal. Exchange 21 (1995/96), no. 2, 701--707.


MR1407265 (97g:26009) Skvortsov, V. A. ; Thomson, B. S. Symmetric integrals do not have the Marcinkiewicz property.
Real Anal. Exchange 21 (1995/96), no. 2, 510--520.


MR1407261 (97i:26005) Freiling, C. ; Thomson, B. S. Scattered sets, chains and the Baire category theorem.
Real Anal. Exchange 21 (1995/96), no. 2, 440--458.


MR1289417 (95m:26002) Thomson, Brian S. Symmetric properties of real functions.
Monographs and Textbooks in Pure and Applied Mathematics, 183. Marcel Dekker, Inc., New York, 1994. xvi+447 pp. ISBN: 0-8247-9230-0


MR1228433 (94i:26003) Thomson, Brian S. The range of a symmetric derivative.
Real Anal. Exchange 18 (1992/93), no. 2, 615--618.


MR1192420 (94a:28008) Pfeffer, Washek F. ; Thomson, Brian S. Measures defined by gages.
Canad. J. Math. 44 (1992), no. 6, 1303--1316.


MR1171794 (93g:26012) Cross, George E. ; Thomson, Brian S. Symmetric integrals and trigonometric series.
Dissertationes Math. (Rozprawy Mat.) 319 (1992), 49 pp.


MR1147382 (92k:26012) Thomson, Brian S. Symmetric variation.
Real Anal. Exchange 17 (1991/92), no. 1, 409--415.


MR1139321 (92h:35042) Bruckner, A. M. ; Petruska, G. ; Preiss, D. ; Thomson, B. S. The equation u_xu_y=0 factors.
Acta Math. Hungar. 57 (1991), no. 3-4, 275--278.


MR1078198 (92d:26002) Thomson, Brian S. Derivates of interval functions.
Mem. Amer. Math. Soc. 93 (1991), no. 452, vi+96 pp.


MR1059435 (91e:26008) Thomson, Brian S. An analogue of Charzyński's theorem.
Real Anal. Exchange 15 (1989/90), no. 2, 743--753.

[No MR] Thomson, B.S., Symmetric derivatives and symmetric integrals, Real
Analysis Exchange 15 (1989/90), 49--61.

MR1042553 (91b:26010) Thomson, Brian S. Some symmetric covering lemmas.
Real Anal. Exchange 15 (1989/90), no. 1, 346--383.


MR1013466 (90m:26018) Preiss, D. ; Thomson, B. S. The approximate symmetric integral.
Canad. J. Math. 41 (1989), no. 3, 508--555.


MR1541348 Swartz, Charles ; Thomson, Brian S. The Teaching of Mathematics: More on the Fundamental Theorem of
Calculus.
Amer. Math. Monthly 95 (1988), no. 7, 644--648.


MR0988374 (90a:26001) Preiss, David ; Thomson, Brian S. A symmetric covering theorem.
Real Anal. Exchange 14 (1988/89), no. 1, 253--254.


MR0873899 (88c:26007) Thomson, Brian S. Some remarks on differential equivalence.
Real Anal. Exchange 12 (1986/87), no. 1, 294--312.


MR0869719 (88f:26005) Bruckner, A. M. ; Laczkovich, M. ; Petruska, G. ; Thomson, B. S. Porosity and approximate derivatives.
Canad. J. Math. 38 (1986), no. 5, 1149--1180.


MR0825474 (87g:26007) Thomson, B. S. Singular functions.
Rev. Roumaine Math. Pures Appl. 30 (1985), no. 9, 793--800.


MR0818744 (87f:26001) Thomson, Brian S. Real functions.
Lecture Notes in Mathematics, 1170. Springer-Verlag, Berlin, 1985. vii+229 pp. ISBN: 3-540-16058-2


MR0807990 (87h:26002) Thomson, B. S. On the level set structure of a continuous function.
Classical real analysis (Madison, Wis., 1982),
187--190, Contemp. Math., 42, Amer. Math. Soc., Providence, RI, 1985.


MR0807980 (86m:26004) Humke, P. D. ; Thomson, B. S. A porosity characterization of symmetric perfect sets.
Classical real analysis (Madison, Wis., 1982),
81--85, Contemp. Math., 42, Amer. Math. Soc., Providence, RI, 1985.


MR0807973 (87b:26008) Bruckner, A. M. ; O'Malley, R. J. ; Thomson, B. S. Path derivatives: a unified view of certain generalized
derivatives.
Classical real analysis (Madison, Wis., 1982),
23--27, Contemp. Math., 42, Amer. Math. Soc., Providence, RI, 1985.


MR0735410 (86d:26007) Bruckner, A. M. ; O'Malley, R. J. ; Thomson, B. S. Path derivatives: a unified view of certain generalized
derivatives.
Trans. Amer. Math. Soc. 283 (1984), no. 1, 97--125.


MR0766077 (86b:26006) Bruckner, A. M. ; Thomson, B. S. Porosity estimates for the Dini derivatives.
Real Anal. Exchange 9 (1983/84), no. 2, 508--538.


MR0686501 (84c:26012) Thomson, B. S. Some theorems for extreme derivates.
J. London Math. Soc. (2) 27 (1983), no. 1, 43--50.


MR0700194 (84i:26008b) Thomson, B. S. Derivation bases on the real line. II.
Real Anal. Exchange 8 (1982/83), no. 2, 278--442.


MR0694507 (84i:26008a) Thomson, B. S. Derivation bases on the real line. I.
Real Anal. Exchange 8 (1982/83), no. 1, 67--207.


MR0627688 (83b:26014) Thomson, B. S. Monotonicity theorems.
Proc. Amer. Math. Soc. 83 (1981), no. 3, 547--552.


MR0632744 (83a:26017) Thomson, B. S. Outer measures and total variation.
Canad. Math. Bull. 24 (1981), no. 3, 341--345.


MR0632743 (83a:26016) Thomson, B. S. On the total variation of a function.
Canad. Math. Bull. 24 (1981), no. 3, 331--340.


MR0623052 (83b:26015) Thomson, B. S. Monotonicity theorems.
Real Anal. Exchange 6 (1980/81), no. 2, 209--234.


MR0606543 (82c:26008) Thomson, B. S. On full covering properties.
Real Anal. Exchange 6 (1980/81), no. 1, 77--93.


MR0596326 (81m:26004) Thomson, B. S. On the derived numbers of VBG∗ functions.
J. London Math. Soc. (2) 22 (1980), no. 3, 473--485.


MR0511583 (80m:28004) Thomson, B. S. On weak Vitali covering properties.
Canad. Math. Bull. 21 (1978), no. 3, 339--345.


MR0476979 (57 #16524) Thomson, B. S. Measures generated by a differentiation basis.
Bull. London Math. Soc. 9 (1977), no. 3, 279--282.


MR0463380 (57 #3332) Thomson, B. S. A characterization of the Lebesgue integral.
Canad. Math. Bull. 20 (1977), no. 3, 353--357.


MR0422550 (54 #10537) Thomson, B. S. Construction of measures in metric spaces.
J. London Math. Soc. (2) 14 (1976), no. 1, 21--24.


MR0364586 (51 #840) Thomson, B. S. Covering systems and derivates in Henstock divison spaces. II.
J. London Math. Soc. (2) 10 (1975), 125--128.


MR0304607 (46 #3742) Thomson, B. S. On McShane's vector-valued integral.
Duke Math. J. 39 (1972), 511--519.

[No MR] Brown, T.C., and Thomson, B.S., Some meta-psychological aspects
of mathematics teaching. Int. J. Math. Education in Science and
Technology, Vol. 4, 373-376 (1973).

MR0304601 (46 #3736) Thomson, B. S. A theory of integration.
Duke Math. J. 39 (1972), 503--509.


MR0299751 (45 #8799) Thomson, B. S. On the Henstock strong variational integral.
Canad. Math. Bull. 14 (1971), 87--99.


MR0294594 (45 #3664) Thomson, B. S. Covering systems and derivates in Henstock division spaces.
J. London Math. Soc. (2) 4 (1971), 103--108.


MR0280666 (43 #6385) Thomson, B. S. Construction of measures and integrals.
Trans. Amer. Math. Soc. 160 1971 287--296.


MR0268350 (42 #3248) Thomson, B. S. Constructive definitions for non-absolutely convergent integrals.
Proc. London Math. Soc. (3) 20 1970 699--716.


MR0259585 (41 #4223) Thomson, B. S. Spaces of conditionally integrable functions.
J. London Math. Soc. (2) 2 1970 358--360.

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