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ANDREW M BRUCKNER
LIST OF PUBLICATIONS
- [No MR] Bruckner, A. M. ; Thomson, B.S.; Bruckner, J. B.; Mathematical Discovery, ClassicalRealAnalysis.com (2011).
- [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).
- [No MR] Thomson, B.S.; Bruckner, A. M. ; Bruckner, J. B.; ELEMENTARY REAL ANALYSIS, Prentice Hall (2001).
- [No MR] Bruckner, A. M. ; Bruckner, J. B.; Thomson, B.S. REAL ANALYSIS, Prentice Hall (1997).
- MR1274044 (94m:26001) Bruckner,
Andrew . Differentiation of real functions. Second edition. CRM
Monograph Series, 5. American Mathematical Society, Providence, RI,
1994. xii+195 pp. ISBN: 0-8218-6990-6
- MR0507448 (80h:26002) Bruckner, Andrew M. Differentiation of real functions. Lecture Notes in Mathematics, 659. Springer, Berlin, 1978. x+247 pp. ISBN: 3-540-08910-1
- MR2369842 Bruckner, Andrew M.
Recollections of working with Cas Goffman. Real Anal. Exchange 32
(2007), no. 2, xiii--xviii.
- [No MR] Bruckner, Andrew M.; Applications of the Baire Category Theorem to Real Analysis, Encyc. Gen. Top., Elsevier, Amsterdam, 2004, 113--116.
- [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.
- MR1691738 (2000b:00015) Report on the Summer Symposium in Real Analysis XXII. Held in honor of Andrew M. Bruckner at the University of California at Santa Barbara, Santa Barbara, CA, June 23–27, 1998. Real Anal. Exchange 24 (1998/99), no. 1, 7--120.
- MR1433599 Bruckner, A. M. Stability in the family of ω-limit sets of continuous self maps of the interval. Summer Symposium in Real Analysis, XX (Windsor, ON, 1996). Real Anal. Exchange 22 (1996/97), no. 1, 52--57.
- MR1348857 (96j:58089) Blokh, Alexander ; Bruckner, A. M. ; Humke, P. D. ; Smítal, J. The space of ω-limit sets of a continuous map of the interval. Trans. Amer. Math. Soc. 348 (1996), no. 4, 1357--1372.
- MR1305486 (95i:26006) Bruckner, A. M. ; Steele, T. H. The Lipschitz structure of continuous self-maps of generic compact sets. J. Math. Anal. Appl. 188 (1994), no. 3, 798--808.
- MR1282331 (95g:58136) Bruckner, A. M. Classes of functions and their associated attractors. Atti Sem. Mat. Fis. Univ. Modena 42 (1994), no. 1, 165--173.
- MR1282659 (95h:26002) Bruckner, A. M. ; Jones, S. H. Behavior of continuous functions with respect to intersection patterns. Real Anal. Exchange 19 (1993/94), no. 2, 414--432.
- MR1225682 (94h:58114) Bruckner, A. M. Some problems concerning the iteration of real functions. Atti Sem. Mat. Fis. Univ. Modena 41 (1993), no. 1, 195--203.
- MR1213076 (94k:26006) Bruckner, A. M. ; Smítal, J. A characterization of ω-limit sets of maps of the interval with zero topological entropy. Ergodic Theory Dynam. Systems 13 (1993), no. 1, 7--19.
- MR1182256 (93g:58092) Bruckner, A. M. ; Ceder, J. Chaos in terms of the map x→ω(x,f). Pacific J. Math. 156 (1992), no. 1, 63--96.
- MR1179498 (93h:26004) Bruckner, A. M. ; Buczolich, Z. Attractive properties via generalized derivatives of continuous functions. Czechoslovak Math. J. 42(117) (1992), no. 2, 271--278.
- MR1154053 (93a:26002) Bruckner, Andrew M. ; Smítal, Jaroslav . The structure of ω-limit sets for continuous maps of the interval. Math. Bohem. 117 (1992), no. 1, 42--47.
- MR1144354 (93c:26006) Bruckner, A. M. ; Mařík, J. ; Weil, C. E. Some aspects of products of derivatives.Amer. Math. Monthly 99 (1992), no. 2, 134--145.
- MR1147387 (93a:58119) Bruckner, A. M. Three forms of chaos and their associated attractors. Real Anal. Exchange 17 (1991/92), no. 1, 431--438.
- MR1139321 (92h:35042) Bruckner, A. M. ; Petruska, G. ; Preiss, D. ; Thomson, B. S. The equation uxuy=0 factors. Acta Math. Hungar. 57 (1991), no. 3-4, 275--278.
- MR1087504 Bruckner, A. M. Three methods of constructing ω-limit sets. Real Anal. Exchange 16 (1990/91), no. 1, 362--372.
- MR1079314 (91m:58085) Bruckner, A. M. ; Hu, Thakyin . Equicontinuity of iterates of an interval map. Tamkang J. Math. 21 (1990), no. 3, 287--294.
- MR1044700 (91b:34017) Bruckner, Andrew M. ; Rubel, Lee A. Null sets for algebraic differential equations.
J. Math. Anal. Appl. 147 (1990), no. 1, 277--283.
MR1059423 (91i:26009) Bruckner, A. M. ; Ceder, J. G. ; Pearson, T. L. On ω-limit sets for various classes of functions.
Real Anal. Exchange 15 (1989/90), no. 2, 592--604.
MR1059418 (91i:26008) Agronsky, S. J. ; Bruckner, A. M. ; Ceder, J. G. ; Pearson, T. L. The structure of ω-limit sets for continuous functions.
Real Anal. Exchange 15 (1989/90), no. 2, 483--510.
MR1044271 (91e:26003) Agronsky, S. J. ; Bruckner, A. M. ; Laczkovich, M. Dynamics of typical continuous functions.
J. London Math. Soc. (2) 40 (1989), no. 2, 227--243.
- [No MR] Bruckner, A. M. and Cordy, C., Near intersection conditions for path derivatives, Real Anal. Exchange 13 (1987--88), 16--24.
- MR0879574 (88f:26003) Bruckner, A. M. ; Hu, Thakyin . On scrambled sets for chaotic functions. Trans. Amer. Math. Soc. 301 (1987), no. 1, 289--297.
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.
MR0857865 (87k:26008) Bruckner, A. M. ; Fleissner, R. J. ; Foran, J. The minimal integral which includes Lebesgue integrable functions and
derivatives.
Colloq. Math. 50 (1986), no. 2, 289--293.
MR0826484 (88b:28012) Bruckner, A. M. ; Davies, Roy O. ; Goffman, C. The essential boundary of certain sets.
Proc. Amer. Math. Soc. 96 (1986), no. 4, 579--584.
MR0881401 (88d:26007) Bruckner, A. M. New approaches to puzzling problems in differentiation theory.
Proceedings of the conference commemorating the 1st centennial of the
Circolo Matematico di Palermo (Italian) (Palermo, 1984).
Rend. Circ. Mat. Palermo (2) Suppl. No. 8 (1985), 217--228.
MR0844257 (87g:54057) Agronsky, S. J. ; Bruckner, A. M. Local compactness and porosity in metric spaces.
Real Anal. Exchange 11 (1985/86), no. 2, 365--379.
MR0825464 (87f:26003) Bruckner, A. M. ; Taylor, Kevin B. Intermediate value theorems and monotonicity.
Rev. Roumaine Math. Pures Appl. 30 (1985), no. 9, 713--717.
MR0807974 (87c:26004) Bruckner, A. M. ; Mařík, J. ; Weil, C. E. Baire one, null functions.
Classical real analysis (Madison, Wis., 1982),
29--41, 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.
MR0789171 (86f:34006) Bruckner, Andrew M. ; Rosenfeld, Melvin ; Rubel, Lee A. The Darboux property and solutions of algebraic differential
equations.
Pacific J. Math. 118 (1985), no. 2, 295--302.
MR0784008 (86g:26012) Agronsky, S. ; Bruckner, A. M. ; Laczkovich, M. ; Preiss, D. Convexity conditions and intersections with smooth functions.
Trans. Amer. Math. Soc. 289 (1985), no. 2, 659--677.
MR0779511 (86j:26001) Bruckner, A. ; Haussermann, J. Strong porosity features of typical continuous functions.
Acta Math. Hungar. 45 (1985), no. 1-2, 7--13.
MR0737814 (85m:62125) Akemann, Charles A. ; Bruckner, Andrew M. ; Robertson, James B. ; Simons, Stephen ; Weiss, Max L. Asymptotic conditional correlation coefficients for truncated
data.
J. Math. Anal. Appl. 99 (1984), no. 2, 350--434.
MR0735561 (86d:26008) Bruckner, A. M. ; Johnson, K. G. Path derivatives and growth control.
Proc. Amer. Math. Soc. 91 (1984), no. 1, 46--48.
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.
MR0733864 (85h:26004) Bruckner, A. M. ; Petruska, G. Some typical results on bounded Baire 1 functions.
Acta Math. Hungar. 43 (1984), no. 3-4, 325--333.
- 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.
- MR0710928 (85a:26007) Bruckner, A. M. ; Ceder, J. On a special class of Darboux Baire 1 functions. Period. Math. Hungar. 14 (1983), no. 2, 125--131.
- [No MR] C. Akemann; Bruckner, A. M. ; J. Robertson; and S.Simons, Conditional correlation phenomena with applications to university admission strategies, J. Educ. Psych 8 (1983), 5--44.
- MR0700196 (85a:26004) Akemann, C. A. ; Bruckner, A. M. On threading continuous functions through compact sets. Real Anal. Exchange 8 (1982/83), no. 2, 455--472.
MR0634581 (83b:26005) Laczkovich, M. ; Petruska, G. Remarks on a problem of A. M. Bruckner.
Acta Math. Acad. Sci. Hungar. 38 (1981), no. 1-4, 205--214.
MR0635323 (82k:26003) Bruckner, A. M. On destruction of derivatives via changes of scale.
Bull. Inst. Math. Acad. Sinica 9 (1981), no. 3, 407--415.
MR0594421 (82e:26006) Agronsky, S. J. ; Biskner, R. ; Bruckner, A. M. ; Mařík, J. Representations of functions by derivatives.
Trans. Amer. Math. Soc. 263 (1981), no. 2, 493--500.
MR0616578 (82j:26004) Bruckner, A. M. ; Ceder, J. Luzin-Menchoff properties for functions.
Rev. Roumaine Math. Pures Appl. 25 (1980), no. 9, 1299--1309.
MR0606541 (82d:26004) Bruckner, A. M. ; Goffman, C. Approximate differentiation.
Real Anal. Exchange 6 (1980/81), no. 1, 9--65.
MR0557963 (81a:26005) Bruckner, Andrew . Current trends in differentiation theory.
Real Anal. Exchange 5 (1979/80), no. 1, 9--60.
MR0525410 (80d:26014) Bruckner, A. M. A general convexity criterion.
Glas. Mat. Ser. III 13(33) (1978), no. 2, 231--235.
MR0507356 (58 #22426) Bruckner, A. M. Creating differentiability and destroying derivatives.
Amer. Math. Monthly 85 (1978), no. 7, 554--562.
MR0476938 (57 #16486) Bruckner, A. M. Inflexible derivatives.
Quart. J. Math. Oxford Ser. (2) 29 (1978), no. 113, 1--10.
MR0480903 (58 #1052) Bruckner, A. M. ; Davies, Roy O. ; Goffman, C. Transformations into Baire 1 functions.
Proc. Amer. Math. Soc. 67 (1977), no. 1, 62--66.
MR0476939 (57 #16487) Bruckner, A. M. ; Garg, K. M. The level structure of a residual set of continuous functions.
Trans. Amer. Math. Soc. 232 (1977), 307--321.
MR0470158 (57 #9922) Bruckner, A. M. Some observations about Denjoy's preponderant derivative.
Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 21(69) (1977), no. 1-2, 3--10.
MR0453938 (56 #12191) Bruckner, A. M. Differentiability a.e. and approximate differentiability a.e.
Proc. Amer. Math. Soc. 66 (1977), no. 2, 294--298.
MR0432831 (55 #5811) Bruckner, A. M. ; Goffman, C. Differentiability through change of variables.
Proc. Amer. Math. Soc. 61 (1976), no. 2, 235--241 (1977).
MR0393378 (52 #14188) Bruckner, Andrew M. Derivatives: why they elude classification.
Math. Mag. 49 (1976), no. 1, 5--11.
MR0387507 (52 #8349) Bruckner, A. M. ; Ceder, J. On the sum of Darboux functions.
Proc. Amer. Math. Soc. 51 (1975), 97--102.
MR0385785 (52 #6644) Bruckner, A. M. ; Ceder, J. ; Rosenfeld, M. On invariant sets for functions.
Bull. Inst. Math. Acad. Sinica 3 (1975), no. 2, 333--347.
MR0385050 (52 #5920) Bruckner, A. M. ; Ceder, Jack . On improving Lebesgue measure.
Nordisk Mat. Tidskr. 23 (1975), no. 2, 59--68.
MR0360950 (50 #13397) Bruckner, A. M. On transformations of derivatives.
Proc. Amer. Math. Soc. 48 (1975), 101--107.
MR0374345 (51 #10545) Bruckner, A. M. A theorem on extending derivatives.
Boll. Un. Mat. Ital. (4) 10 (1974), 490--499.
MR0352359 (50 #4846) Bruckner, A. M. ; Ceder, J. G. ; Pearson, T. L. On Darboux functions.
Rev. Roumaine Math. Pures Appl. 19 (1974), 977--988.
MR0417393 (54 #5443) Bruckner, A. M. ; Thorne, Charles L. Density covers.
Ann. Scuola Norm. Sup. Pisa (3) 27 (1973), 97--104.
MR0340491 (49 #5243) Bruckner, A. M. ; Ceder, Jack . A note on discontinuous functions.
Elem. Math. 28 (1973), 146--148.
MR0327987 (48 #6329) Bruckner, A. M. ; Ceder, J. G. ; Pearson, T. L. On the insertion of Darboux, Baire-one functions.
Fund. Math. 80 (1973), no. 2, 157--167.
MR0327986 (48 #6328) Bruckner, A. M. ; Ceder, J. G. On a problem of S. Marcus concerning quasi-Darboux functions.
Acta Math. Acad. Sci. Hungar. 24 (1973), 33--39.
MR0318409 (47 #6956) Bruckner, A. M. The differentiability properties of typical functions in C
[a,b].
Amer. Math. Monthly 80 (1973), 679--683.
MR0311843 (47 #405) Bruckner, A. M. ; Ceder, J. On jumping functions by connected sets.
Czechoslovak Math. J. 22(97) (1972), 435--448.
MR0304596 (46 #3731) Bruckner, A. M. A note on measures determined by continuous functions.
Canad. Math. Bull. 15 (1972), 289--291.
MR0294575 (45 #3645) Bruckner, Andrew M. A category analogue of a theorem on metric density.
Israel J. Math. 11 (1972), 249--253.
MR0293044 (45 #2124) Bruckner, A. M. Differentiation of integrals.
Amer. Math. Monthly 78 (1971), no. 9, Part II, ii+51 pp.
MR0286957 (44 #4164) Bruckner, A. M. ; Ceder, J. Combs.
Rev. Roumaine Math. Pures Appl. 16 1971 837--845.
MR0283156 (44 #389) Bruckner, A. M. ; Ceder, J. G. A note on end-sets.
Amer. Math. Monthly 78 1971 516--518.
MR0274668 (43 #430) Bruckner, A. M. On everywhere convergence of sequences of convolution kernels.
J. Approximation Theory 4 1971 218--224.
MR0283163 (44 #396) Bruckner, A. M. ; Weiss, Max L. On approximate identities in abstraact measure spaces.
Monatsh. Math. 74 1970 289--301.
MR0268333 (42 #3232) Bruckner, A. M. Density-preserving homeomorphisms and a theorem of Maximoff.
Quart. J. Math. Oxford Ser. (2) 21 1970 337--347.
MR0265620 (42 #529) Bruckner, A. M. ; Lohwater, A. J. ; Ryan, Frank . Some non-negativity theorems for harmonic functions.
Ann. Acad. Sci. Fenn. Ser. A I No. 452 1969 8 pp.
MR0262430 (41 #7037) Bruckner, A. M. On the differentiation of integrals in euclidean spaces.
Fund. Math. 66 1969/1970 129--135.
MR0259037 (41 #3679) Bruckner, A. M. ; Ceder, J. G. ; Weiss, Max L. On the differentiability structure of real functions.
Trans. Amer. Math. Soc. 142 1969 1--13.
MR0248294 (40 #1546) Bruckner, A. M. Some remarks on extreme derivates.
Canad. Math. Bull. 12 1969 385--388.
MR0245749 (39 #7055) Bruckner, A. M. ; Rosenfeld, Melvin . On topologizing measure spaces via differentiation bases.
Ann. Scuola Norm. Sup. Pisa (3) 23 1969 243--258.
MR0247012 (40 #281) Bruckner, A. M. ; Rosenfeld, M. A theorem on approximate directional derivatives.
Ann. Scuola Norm. Sup. Pisa (3) 22 1968 343--350.
MR0243008 (39 #4333) Bruckner, A. M. ; Ceder, J. G. ; Keston, R. Representations and approximations by Darboux functions in the first
class of Baire.
Rev. Roumaine Math. Pures Appl. 13 1968 1246--1254.
MR0220877 (36 #3929) Bruckner, A. M. ; Bruckner, J. B. On a problem of S. Marcus.
Rev. Roumaine Math. Pures Appl. 12 1967 879--887.
MR0218500 (36 #1586) Bruckner, A. M. ; Bruckner, J. B. Darboux transformations.
Trans. Amer. Math. Soc. 128 1967 103--111.
MR0217228 (36 #319) Bruckner, A. M. ; Rosenfeld, M. The uniform closure of certain classes of open functions.
Math. Z. 101 1967 245--254.
MR0212139 (35 #3014) Bruckner, A. M. On characterizing classes of functions in terms of associated
sets.
Canad. Math. Bull. 10 1967 227--231.
MR0206173 (34 #5995) Bruckner, A. M. ; Goffman, Casper . The boundary behavior of real functions in the upper half plane.
Rev. Roumaine Math. Pures Appl. 11 1966 507--518. (loose correction inserted).
MR0204590 (34 #4429) Bruckner, A. M. ; Bruckner, J. B. The continuity structure of open finite-to-one functions.
Monatsh. Math. 70 1966 419--429.
MR0197632 (33 #5797) Bruckner, A. M. ; Leonard, J. L. Derivatives.
Amer. Math. Monthly 73 1966 no. 4, part II 24--56.
MR0197629 (33 #5794) Bruckner, A. M. ; Ceder, J. G. ; Weiss, Max . Uniform limits of Darboux functions.
Colloq. Math. 15 1966 65--77.
MR0188375 (32 #5814) Bruckner, A. M. An affirmative answer to a problem of Zahorski, and some
consequences.
Michigan Math. J. 13 1966 15--26.
MR0183829 (32 #1305) Bruckner, Andrew . On derivatives with a dense set of zeros.
Rev. Roumaine Math. Pures Appl. 10 1965 149--153.
MR0183827 (32 #1303) Bruckner, A. M. ; Leonard, John L. Stationary sets and determining sets for certain classes of Darboux
functions.
Proc. Amer. Math. Soc. 16 1965 935--940.
MR0182693 (32 #176) Bruckner, A. M. A theorem on monotonicity and a solution to a problem of Zahorski.
Bull. Amer. Math. Soc. 71 1965 713--716.
MR0174670 (30 #4870) Bruckner, A. M. ; Leonard, John L. On differentiable functions having an everywhere dense set of intervals
of constancy.
Canad. Math. Bull. 8 1965 73--76.
MR0186761 (32 #4217) Bruckner, A. M. ; Ceder, J. G. Darboux continuity.
Jber. Deutsch. Math.-Verein. 67 1964/1965 Abt. 1 93--117.
- [No MR] Bruckner, A. M. ; A note on polygons inscribed in open sets, Math. Mag. 37 (1964), 250--251.
- MR0174673 (30 #4873) Boehme, T. K. ; Bruckner, A. M. Functions with convex means. Pacific J. Math. 14 1964 1137--1149.
- MR0171217 (30 #1448) Bruckner, A. M. ; Bruckner, J. B. Generalized convex kernels, Israel J. Math. 2 1964 27--32.
- MR0168709 (29 #5966) Bruckner, A. M. Stationary sets for certain classes of derivates of Darboux functions. Michigan Math. J. 11 (1964) 305--309.
- MR0156924 (28 #167) Bruckner, A. M. Some relationships between locally superadditive functions and convex functions. Proc. Amer. Math. Soc. 15 1964 61--65.
- [No MR] Bruckner, A. M.; Some non-equivalent definitions of inflection points, American Math Monthly, 69 (1962), 787--789.
- MR0148822 (26 #6326) Bruckner, A. M. ; Ostrow, E. Some function classes related to the class of convex functions. Pacific J. Math. 12 1962 1203--1215.
- MR0142058 (25 #5452) Bruckner, A. M. ; Bruckner, J. B. On Ln sets, the Hausdorff metric, and connectedness. Proc. Amer. Math. Soc. 13 1962 765--767.
- MR0133411 (24 #A3245) Bruckner, A. M. Tests for superadditivity of functions. Proc. Amer. Math. Soc. 13 1962 126--130.
- MR0122943 (23 #A275) Bruckner, Andrew . Minimal superadditive extensions of superadditive functions. Pacific J. Math. 10 1960 1155--1162.
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June 2011
