M7500 Theoretical Arithmetics

Faculty of Science
Autumn 1999
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Radan Kučera, DSc. (lecturer)
Guaranteed by
prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Radan Kučera, DSc.
Prerequisites (in Czech)
M3510 Algebra III
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Divisibility in $\Bbb Z$: primes, unique prime factorization, greatest common divisor, least common multiple, Euclidean algorithm. Congruence, solutions of linear congruences in one variable, Chinease remainder theorem, Fermat and Euler theorems, primitive roots. Quadratic residues, Legendre symbol, quadratic reciprocity law. Linear diophantine equation, some elementary methods solving of special types of diophante equations. Decomposition and factorisation of algebraic structures. Construction of ${\bold N}$, ${\bold Z}$, ${\bold Q}$, ${\bold R}$ and ${\bold C}$.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2008, Autumn 2009, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2015.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M7500