Search result: Catalogue data in Autumn Semester 2017
Mathematics Bachelor | ||||||
Compulsory Courses | ||||||
Examination Block II | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|---|
401-2003-00L | Algebra I | O | 7 credits | 4V + 2U | E. Kowalski | |
Abstract | Introduction and development of some basic algebraic structures - groups, rings, fields. | |||||
Objective | Introduction to basic notions and results of group, ring and field theory. | |||||
Content | Group Theory: basic notions and examples of groups; Subgroups, Quotient groups and Homomorphisms, Sylow Theorems, Group actions and applications Ring Theory: basic notions and examples of rings; Ring Homomorphisms, ideals and quotient rings, applications Field Theory: basic notions and examples of fields; finite fields, applications | |||||
Literature | J. Rotman, "Advanced modern algebra, 3rd edition, part 1" Link J.F. Humphreys: A Course in Group Theory (Oxford University Press) G. Smith and O. Tabachnikova: Topics in Group Theory (Springer-Verlag) M. Artin: Algebra (Birkhaeuser Verlag) R. Lidl and H. Niederreiter: Introduction to Finite Fields and their Applications (Cambridge University Press) B.L. van der Waerden: Algebra I & II (Springer Verlag) |
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