區間算術是對位於指定範圍（即區間）內的量進行運算的一種算術，而不是對具有確定已知值的量進行運算。當處理受測量誤差或不確定性影響的資料時，區間算術可能特別有用。它可以被認為是有效數字算術（又名自動精度控制）的嚴格版本。
它功能強大，足以提供嚴格的數學證明（de la Llave 1991, Hutchings et al. 2000, Tucker 2002, Gutowski 2003），但嚴謹性是有代價的。特別是，區間算術可能很慢，並且在實際計算中常常給出過於悲觀的結果。
區間算術
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浮點算術, 區間, 射影擴充套件實數使用 探索
參考文獻
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 中被引用
區間算術引用為
Weisstein, Eric W. "區間算術。" 來自 Web 資源。 https://mathworld.tw/IntervalArithmetic.html