Search result: Catalogue data in Autumn Semester 2021
Physics Bachelor  | ||||||
 Additional Courses, Seminars and Colloquia | ||||||
| Additional Courses (from Second Year Mathematics Bachelor) | ||||||
| Number | Title | Type | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|---|
| 401-2003-00L | Algebra I 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. | Z | 7 credits | 4V + 2U | L. Halbeisen | |
| 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, 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 | |||||
| Literature | Karpfinger-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" http://bookstore.ams.org/gsm-165/ 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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