Number Theory Basic Information M108 (2+2+0) - 6 ECTS credits The aim of this course is to introduce students to the basic concepts, ideas and methods of elementary number theory. During the lectures we will introduce and analyze the basic concepts and results of the number theory. Applications of the obtained results will be presented by examples, and we will indicate the application of the number theory in cryptography. By using claims proved during the lectures, through the exercises students should adopt techniques for solving computational and problem-solving tasks. You can access the course content at the following link: PDF Teachers Instructor: Dr. Mirela Jukić Bokun, Associate Professor Basic literature I. Matić, Uvod u teroju brojeva, Odjel za matematiku Sveučilišta J. J. Strossmayera u Osijeku, 2013, skripta. A. Dujella, Uvod u teoriju brojeva, Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu, 2002, skripta. J. Stilwell, Elements of number theory, Springer, 2003. Additional literature T. Andreescu, D. Andrica, An Introduction to Diophantine Equations, GIL Publishing House, 2002. A. Dujella, Diofantske jednadžbe, Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu, 2007. K. H. Rosen, Elementary Number Theory and Its Applications, Addison-Wesley, Reading, 1993. N. Koblitz, A Course in Number Theory and Cryptography, Springer Verlag, 1994. A. Dujella, M. Maretić, Kriptografija, Element, 2007. B. Ibrahimpašić, Uvod u teoriju brojeva, Pedagoški fakultet Bihać, Bihać, 2014. G. A. Jones, J. M. Jones, Elementary Number Theory, Springer, 2003. L. N. Childs, A Concrete Introduction to Higher Algebra, Springer Verlag, 1995. Teaching materials The materials are available on the internal Teams channel of the course, through which all internal communication takes place. Students are required to register on the course’s Teams channel. The channel code for joining the course can be found in the schedule.