区间算术是对位于指定范围（即区间）内的量进行运算的一种算术，而不是对具有确定已知值的量进行运算。当处理受测量误差或不确定性影响的数据时，区间算术可能特别有用。它可以被认为是有效数字算术（又名自动精度控制）的严格版本。
它功能强大，足以提供严格的数学证明（de la Llave 1991, Hutchings et al. 2000, Tucker 2002, Gutowski 2003），但严谨性是有代价的。特别是，区间算术可能很慢，并且在实际计算中常常给出过于悲观的结果。
区间算术
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浮点算术, 区间, 射影扩展实数使用 Wolfram|Alpha 探索
参考文献
de la Llave, R. In Computer Aided Proofs in Analysis (Ed. K. Meyer and D. Schmidt). New York: Springer-Verlag, 1991.Marlov, S. M. In Scientific Computing and Validated Numerics (Ed. G. Alefeld; A. Frommer, and B. Lang). Berlin: Akademie Verlag, 1996.Gutowski, M. W. "Power and Beauty of Interval Methods." 20 Feb 2003. http://arxiv.org/abs/physics/0302034.Hutchings, M.; Morgan, F.; Ritoré; M.; and Ros, A. Electron. Res. Announc. Amer. Math. Soc. 6, 45, 2000.Jaulin, L.; Kieffer, M.; Didrit, O.; and Walter, É. Applied Interval Analysis. London: Springer-Verlag, 2003.Kearfott, B. R. Euromath Bull. 2, 95, 1996.Petkovič M. S.; and Petkovič, L. D. Complex Interval Arithmetic and Its Applications. Berlin: Wiley, 1998.Popova, E. D. and Ullrich, C. P. "Simplication of Symbolic-Numerical Interval Expressions." In Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation (Ed. O. Gloor). New York: ACM Press, pp. 207-214, 1998.Schenkel, A.; Wehr, J.; and Wittwer, P. Math. Phys. Electr. J. 6, 2000.Shokin, Y. I. In Scientific Computing and Validated Numerics (Ed. G. Alefeld; A. Frommer, and B. Lang). Berlin: Akademie Verlag, 1996.Trott, M. "Interval Arithmetic." §1.1.2 in The Mathematica GuideBook for Numerics. New York: Springer-Verlag, pp. 54-66, 2006. http://www.mathematicaguidebooks.org/.Tucker, W. Found. Comput. Math. 2, 53, 2002.Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, p. 1168, 2002.在 Wolfram|Alpha 中被引用
区间算术引用为
Weisstein, Eric W. "区间算术。" 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/IntervalArithmetic.html