Introduction to Algebra

Description

Elements of set theory (sets - functions - relations - equivalence relations -partial ordering on sets - nets) Natural numbers and Integers (mathematical induction -Zorn’s lemma - natural numbers - cardinality of sets - axiom of choice) - Elements of group theory (groups - subgroups - group generated by set - cossets - normal subgroups -isomorphism theorems - cyclic groups - groups acting on sets - direct product of groups).

Course Coordinators

Books: 
Εισαγωγή στην Άλγεβρα της Κ. Κάλφα.
Εισαγωγή στην Άλγεβρα του J. Fraleigh.
Εισαγωγή στην Άλγεβρα του Ε. Ψωμόπουλου
Semester: 
Units: 
3
Credit Units (ECTS): 
5.5
Hours: 
3ώρες
ID: 
0102
Course Type: 
X