Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • [1] John DePree and Charles Swartz, Introduction to real analysis, John Wiley & Sons, Inc., New York, 1988. MR 1042294
  • [2] R. Henstock, The efficiency of convergence factors for functions of a continuous real variable, J. London Math. Soc. 30 (1955), 273–286. MR 0072968
  • [3] Ralph Henstock, Definitions of Riemann type of the variational integrals, Proc. London Math. Soc. (3) 11 (1961), 402–418. MR 0132147
  • [4] Ralph Henstock, Theory of integration, Butterworths, London, 1963. MR 0158047
  • [5] Ralph Henstock, Lectures on the theory of integration, Series in Real Analysis, vol. 1, World Scientific Publishing Co., Singapore, 1988. MR 963249
  • [6] Jaroslav Kurzweil, Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (82) (1957), 418–449 (Russian). MR 0111875
  • [7] 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
  • [8] Peng Yee Lee, Lanzhou lectures on Henstock integration, Series in Real Analysis, vol. 2, World Scientific Publishing Co., Inc., Teaneck, NJ, 1989. MR 1050957
  • [9] Robert M. McLeod, The generalized Riemann integral, Carus Mathematical Monographs, vol. 20, Mathematical Association of America, Washington, D.C., 1980. MR 588510
  • [10] E. J. McShane, A unified theory of integration, Amer. Math. Monthly 80 (1973), 349–359. MR 0318434
  • [11] E. J. McShane, Unified integration, Pure and Applied Mathematics, vol. 107, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. MR 740710

Review Information:

Reviewer: Robert G. Bartle
Journal: Bull. Amer. Math. Soc. 29 (1993), 136-139