Book cover

Sets, relations, functions

Authors: Ivo Düntsch , Dept of Computer Science , Brock University , St Catharines, Ontario, L2S 3A1, Canada
Günther Gediga , Institut für Evaluation und Marktanalysen; Brinkstr. 19; D-49143 Jeggen, Germany,and Dept of Computer Science , Brock University , St Catharines, Ontario, L2S 3A1, Canada
Publisher Methodos Publishers
ISBN: 1903280001
Abstract: We give a gentle introduction to the set theoretic tools needed by anyone who comes into contact with modern Mathematics. The intended audience are students of any subject or practitioners who need some knowledge of set operations and related topics.
Download: Methodos Primers 1: Sets, Relations, Functions
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Contents:
  1. Sets
    1. Introduction to sets
    2. Subsets, power sets, equality of sets
    3. Finite and infinite sets
    4. Set operations
    5. De Morgan rules, distributivity, tables
  2. Relations
    1. Ordered pairs, Cartesian products
    2. Introduction to relations
    3. Ordering relations
    4. Equivalence relations
  3. Functions
    1. Basic definitions
    2. One-one, onto, and bijective functions
    3. Inverse functions and permutations
  4. Solution to exercises
  5. Index

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