Search result: Catalogue data in Autumn Semester 2021

Physics Bachelor Information
Additional Courses, Seminars and Colloquia
Additional Courses (from Second Year Mathematics Bachelor)
401-2003-00LAlgebra I Information
The two-semester course Algebra I / Algebra II is offered for the last time in its current version in the Autumn Semester 2021 / Spring Semester 2022.
Z7 credits4V + 2UL. Halbeisen
AbstractIntroduction and development of some basic algebraic structures - groups, rings, fields.
ObjectiveIntroduction to basic notions and results of group, ring and field
ContentGroup Theory: basic notions and examples of groups, subgroups, factor groups, homomorphisms, group actions, Sylow theorems, applications

Ring Theory: basic notions and examples of rings, ring homomorphisms, ideals, factor rings, euclidean rings, principal ideal domains, factorial rings, applications

Field Theory: basic notions and examples of fields, field extensions, algebraic extensions, applications
LiteratureKarpfinger-Meyberg: Algebra, Spektrum Verlag
S. Bosch: Algebra, Springer Verlag
B.L. van der Waerden: Algebra I und II, Springer Verlag
S. Lang, Algebra, Springer Verlag
A. Knapp: Basic Algebra, Springer Verlag
J. Rotman, "Advanced modern algebra, 3rd edition, part 1"
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)
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