Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1568044
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Ralph Henstock
Title:
The general theory of integration
Additional book information:
Oxford Mathematical Monographs, Clarendon Press, Oxford, 1991, xi+262pp., US$75.00. ISBN 0-19-853566-X.
John DePree and Charles Swartz, Introduction to real analysis, John Wiley & Sons, Inc., New York, 1988. MR 1042294
R. Henstock, The efficiency of convergence factors for functions of a continuous real variable, J. London Math. Soc. 30 (1955), 273–286. MR 72968, DOI 10.1112/jlms/s1-30.3.273
Ralph Henstock, Definitions of Riemann type of the variational integrals, Proc. London Math. Soc. (3) 11 (1961), 402–418. MR 132147, DOI 10.1112/plms/s3-11.1.402
Ralph Henstock, Theory of integration, Butterworths, London, 1963. MR 0158047
Ralph Henstock, Lectures on the theory of integration, Series in Real Analysis, vol. 1, World Scientific Publishing Co., Singapore, 1988. MR 963249, DOI 10.1142/0510
Jaroslav Kurzweil, Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7(82) (1957), 418–449 (Russian). MR 111875
Jaroslav Kurzweil, Nichtabsolut konvergente Integrale, Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], vol. 26, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1980 (German). With English, French and Russian summaries. MR 597703
Peng Yee Lee, Lanzhou lectures on Henstock integration, Series in Real Analysis, vol. 2, World Scientific Publishing Co., Inc., Teaneck, NJ, 1989. MR 1050957
Robert M. McLeod, The generalized Riemann integral, Carus Mathematical Monographs, vol. 20, Mathematical Association of America, Washington, D.C., 1980. MR 588510
E. J. McShane, A unified theory of integration, Amer. Math. Monthly 80 (1973), 349–359. MR 318434, DOI 10.2307/2319078
E. J. McShane, Unified integration, Pure and Applied Mathematics, vol. 107, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. MR 740710
- [1]
- John DePree and Charles Swartz, Introduction to real analysis, Wiley, New York, 1988. MR 1042294 (91c:00001)
- [2]
- Ralph Henstock, The efficiency of convergence factors for functions of a continuous real variable, J. London Math. Soc (2) 30 (1955), 273-286. MR 0072968 (17:359f)
- [3]
- -, Definitions of Riemann type of the variational integrals, Proc. London Math. Soc. (3) 11 (1961), 402-418. MR 0132147 (24:A1994)
- [4]
- -, Theory of integration, Butterworths, London, 1963. MR 0158047 (28:1274)
- [5]
- -, Lectures on the theory of integration, World Scientific Publishing Co., Singapore, 1988. MR 963249 (91a:28001)
- [6]
- Jaroslav Kurzweil, Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (1957), 418-446. MR 0111875 (22:2735)
- [7]
- -, Nichtabsolut konvergente Integrale, Teubner-Texte, vol. 26, Teubner, Leipzig, 1980. MR 597703 (82m:26007)
- [8]
- Peng-Yee Lee, Lanzhou lectures on Henstock integration, World Scientific Publishing Co., Singapore, 1989. MR 1050957 (92j:26010)
- [9]
- Robert M. McLeod, The generalized Riemann integral, Carus Math. Monographs, vol. 20, Math. Assoc. America, Washington, DC, 1980. MR 588510 (82h:26015)
- [10]
- E. J. McShane, A unified theory of integration, Amer. Math. Monthly 80 (1973), 349-359. MR 0318434 (47:6981)
- [11]
- -, Unified integration, Academic Press, New York, 1983. MR 740710 (86c:28002)
Review Information:
Reviewer:
Robert G. Bartle
Journal:
Bull. Amer. Math. Soc.
29 (1993), 136-139
DOI:
https://doi.org/10.1090/S0273-0979-1993-00405-1
