M6520 Number Theory

Faculty of Science
Spring 2000
Extent and Intensity
2/1/0. 4 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 || M3110 Algebra I
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 Z: primes, unique decomposition into product of primes, greatest common divisor, least common multiple, Euclid's algorithm. Congruence, linear congruences in one variable, Chinese remainder theorem, Fermat and Euler theorems, primitive roots. Quadratic residues, Legendre symbol, quadratic reciprocity law. Linear diophantine equations, some elementary methods for solving special types of diophantine equations.
Literature
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Metody řešení matematických úloh I. 2., přeprac. vyd. Brno: Masarykova univerzita, 1996, 278 s. ISBN 80-210-1202-1. info
Bookmarks
https://is.muni.cz/ln/tag/PříF:M6520!
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 Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M6520