Set theory: Difference between revisions

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imported>Howard C. Berkowitz
(New page: '''Set theory''' is a branch of mathematics that deals with the grouping of objects into sets,<ref>{{citation | title = Set Theory | author = Felix Hausdorff | edition = 2nd | year = 1...)
 
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'''Set theory''' is a branch of mathematics that deals with the grouping of objects into sets,<ref>{{citation
{{subpages}}
'''Set theory''' is a branch of mathematics that deals with the grouping of objects into sets, the definition of membership in sets,<ref>{{citation
  | title = Set Theory
  | title = Set Theory
  | author = Felix Hausdorff
  | author = Felix Hausdorff
  | edition = 2nd
  | edition = 2nd
  | year = 1957
  | year = 1957
  | publisher = Chelsea Publishing}}</ref> and a range of operations on those sets, such as [[function (mathematics)|functions]], [[relation (mathematics)|relations]], [[union (set theory)]], and [[intersection (set theory)]].
  | publisher = Chelsea Publishing}}</ref> and a range of operations on those sets, such as [[function (mathematics)|functions]], [[relation (mathematics)|relations]], [[union (set theory)|union]], and [[intersection (set theory)|intersection]]. [[Georg Cantor]] is usually  credited with its invention.
 
It has a wide range of applications in [[computer science]], where it is often considered a subset of [[discrete mathematics]].<ref>{{citation
| title = Discrete Mathematical Structures with Applications to Computer Science
| author = J.P. Tremblay, R. Manohar
| publisher = McGraw-Hill | year = 1975}}</ref>


==References==
==References==
{{reflist}}
{{reflist}}

Revision as of 16:06, 17 June 2009

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Set theory is a branch of mathematics that deals with the grouping of objects into sets, the definition of membership in sets,[1] and a range of operations on those sets, such as functions, relations, union, and intersection. Georg Cantor is usually credited with its invention.

It has a wide range of applications in computer science, where it is often considered a subset of discrete mathematics.[2]

References

  1. Felix Hausdorff (1957), Set Theory (2nd ed.), Chelsea Publishing
  2. J.P. Tremblay, R. Manohar (1975), Discrete Mathematical Structures with Applications to Computer Science, McGraw-Hill