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| Title Details: | |
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Sets, Relations, Functions |
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| Authors: |
Zachos, Efstathios Pagourtzis, Aristeidis Souliou, Theodora |
| Reviewer: |
Zissimopoulos, Vassilis |
| Description: | |
| Abstract: |
Sets of numbers: N, Z, Q, R, irrational. Introduction to set theory. Operations on sets: elements, subsets, empty set, union, intersection, complement, power set, difference, symmetric difference, Cartesian product, cardinality. Venn diagrams. Inclusion-exclusion principle. Finite and infinite sets. Countable sets. Russell's paradox. Binary relations. Reflexivity, symmetry, transitivity. Equivalence relations. Partial and total order relations. Closure. Networks. Functions. Monomorphisms, homomorphisms, isomorphisms. Relational data model.
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| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-sa/3.0/gr |
| Handle | http://hdl.handle.net/11419/5454 |
| Bibliographic Reference: | Zachos, E., Pagourtzis, A., & Souliou, T. (2015). Sets, Relations, Functions [Chapter]. In Zachos, E., Pagourtzis, A., & Souliou, T. 2015. Computer Science Foundation [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/5454 |
| Language: |
Greek |
| Is Part of: |
Computer Science Foundation |
| Publication Origin: |
Kallipos, Open Academic Editions |