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交换律

出自维基百科,自由个百科全书
一個表示加法( 3 + 2 = 2 + 3 )的交換律的例子

交换律(Commutative property)是被普遍使用个一个数学名词,意指能改变某物个顺序而不改变渠个最终结果。交换律是大多数数学分支中个基本性质,而且老多个数学证明需要倚靠交换律。


参考资料

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书籍

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Abstract algebra theory. Covers commutativity in that context. Uses property throughout book.
  • Goodman, Frederick(2003).Algebra: Abstract and Concrete, Stressing Symmetry, 2e.Prentice Hall.ISBN 978-0-13-067342-8 
Abstract algebra theory. Uses commutativity property throughout book.
Linear algebra theory. Explains commutativity in chapter 1, uses it throughout.

文章

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Article describing the mathematical ability of ancient civilizations.
  • Robins, R. Gay, and Charles C. D. Shute. 1987. The Rhind Mathematical Papyrus: An Ancient Egyptian Text. London: British Museum Publications Limited. ISBN 978-0-7141-0944-2
Translation and interpretation of the Rhind Mathematical Papyrus.

线上资源

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Definition of commutativity and examples of commutative operations
Explanation of the term commute
Examples proving some noncommutative operations
Article giving the history of the real numbers
Page covering the earliest uses of mathematical terms
Biography of Francois Servois, who first used the term