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Book Review
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Book Information
Author(s):
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
References:
-
- [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)
Additional Information:
Reviewer(s):
Robert G.
Bartle
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
136-139.
DOI:
10.1090/S0273-0979-1993-00405-1
PII:
S 0273-0979(1993)00405-1
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