Interval FAQ
What books should I start with?

Can you suggest some readings about interval arithmetic to help me get started?

Response by George Corliss:

(georgec@mscs.mu.edu), Department of Mathematics, Statistics, and Computer Science, Marquette University.

Here are some of my favorites:

• R. E. Moore, Interval Analysis, Prentice Hall, Englewood Cliffs, N.J., 1966.
• R. E. Moore, Methods and Applications of Interval Analysis, SIAM, Philadelphia, Penn., 1979.
• G. Alefeld and J. Herzberger, Einführung in die Intervallrechnung, Springer-Verlag, Heidelberg, 1974. Introduction to Interval Computations, Academic Press, New York, 1983.
• A. Neumaier, Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
• E. R. Hansen, Global Optimization Using Interval Analysis, Marcel Dekker, New York, 1992.
• R. Hammer, M. Hocks, U. Kulisch, and D. Ratz, Numerical Toolbox for Verified Computing I: With Algorithms and Pascal-XSC Programs, Springer-Verlag, Berlin, 1994.
• R. Hammer, M. Hocks, U. Kulisch, and D. Ratz, C++ Toolbox for Verified Computing I: Basic Numerical Problems: Theory, Algorithms, and Programs, Springer-Verlag, Berlin, 1995.

A bibliography:

• G. F. Corliss, SCAN-98 collected bibliography, in Developments in Reliable Computing, T. Csendes, ed., Kluwer, Dordrecht, Netherlands, 1999, pp. 383-402. URL: www.mscs.mu.edu/~georgec/Pubs/chapt.html#1999b at link [scan98.bib].

If you have a question related to validated computing, interval analysis, or related matters, I recommend

• Vladik Kreinovich's Interval Computation web site, or
• Submit it to the interval computations listserv: reliable_computing@interval.louisiana.edu

This page URL: http://www.mscs.mu.edu/~georgec/IFAQ/readings.html
Last modified May 31, 1999. Send comments to (georgec@mscs.mu.edu)
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