交换律
外观
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
[编辑]书籍
[编辑]- Axler, Sheldon(1997).Linear Algebra Done Right, 2e.Springer.ISBN 978-0-387-98258-8.
- 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.
- Gallian, Joseph(2006).Contemporary Abstract Algebra, 6e.ISBN 978-0-618-51471-7.
- Linear algebra theory. Explains commutativity in chapter 1, uses it throughout.
文章
[编辑]- https://web.archive.org/web/20080228100512/http://www.ethnomath.org/resources/lumpkin1997.pdf Lumpkin, B. (1997). The Mathematical Legacy Of Ancient Egypt - A Response To Robert Palter . Unpublished manuscript.
- 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
[编辑]- Krowne, Aaron, Template:PlanetMath, Accessed 8 August 2007.
- Definition of commutativity and examples of commutative operations
- Template:MathWorld, Accessed 8 August 2007.
- Explanation of the term commute
- Yark. Template:PlanetMath, Accessed 8 August 2007
- Examples proving some noncommutative operations
- O'Conner, J J and Robertson, E F. MacTutor history of real numbers, Accessed 8 August 2007
- Article giving the history of the real numbers
- Cabillón, Julio and Miller, Jeff. Earliest Known Uses Of Mathematical Terms, Accessed 8 August 2007
- Page covering the earliest uses of mathematical terms
- O'Conner, J J and Robertson, E F. MacTutor biography of François Servois, Accessed 8 August 2007
- Biography of Francois Servois, who first used the term