Andrej Dujella's monograph Number Theory translated from Croatian

http://www.croatia.org/crown/articles/11294/1/Andrej-Dujellas-monograph-Number-Theory-translated-from-Croatian.html

By Nenad N. Bach and Darko Žubrinić

Published on 04/19/2021

On the left Professor Andrej Dujella, since 2012 a member of Croatian Academy of Sciences and Arts, distinguished expert in Number Theory.

Andrej Dujella, of the Croatian Academy of Sciences and Arts, is distinguished Croatian mathematician, expert in Number Theory. His monograph Teorija brojeva, written in Croatian, saw its translation into English in 2021: Number Theory. It is primarily intended for students of mathematics and related faculties who attend courses in number theory and its applications. However, it can also be useful to advanced high school students who are preparing for mathematics competitions in which at all levels, from the school level to international competitions, number theory has a significant role, and for doctoral students and scientists in the fields of number theory, algebra and cryptography. |

Monograph by distinguished Croatian expert in Number Theory published in Zagreb in 2021

Andrej Dujella, distinguished Croatian mathematician, expert in Number Theory,

a member of Croatian Academy of Sciences and Arts

Textbook of the University of Zagreb

Publisher: Školska knjiga, Zagreb, 2021.

Translated by Petra Švob

ISBN: 978-953-0-30897-8

**621 pages**, 17 × 24 cm

The book can be purchased at

Publisher: Školska knjiga, Zagreb, 2021.

Translated by Petra Švob

ISBN: 978-953-0-30897-8

The book can be purchased at

Description of the monograph by Andrej DujellaNumber theory is a branch of mathematics that is primarily focused on the study of positive integers, or natural numbers, and their properties such as divisibility, prime factorization, or solvability of equations in integers. Number theory has a very long and diverse history, and some of the greatest mathematicians of all time, such as Euclid, Euler and Gauss, have made significant contributions to it. Throughout its long history, number theory has often been considered as the "purest" branch of mathematics in the sense that it was the furthest from any concrete application. However, a significant change took place in the mid-1970s, and nowadays, number theory is one of the most important branches of mathematics for applications in cryptography and secure information exchange. This book is based on teaching materials from the courses Number Theory and Elementary Number Theory, which are taught at the undergraduate level studies at the Department of Mathematics, Faculty of Science, University of Zagreb, and the courses Diophantine Equations and Diophantine Approximations and Applications, which were taught at the doctoral program of mathematics at that faculty. The book thoroughly covers the content of these courses, but it also contains other related topics such as elliptic curves, which are the subject of the last two chapters in the book. The book also provides an insight into subjects that were and are at the centre of research interest of the author of the book and other members of the Croatian group in number theory, gathered around the Seminar on Number Theory and Algebra.This book is primarily intended for students of mathematics and related faculties who attend courses in number theory and its applications. However, it can also be useful to advanced high school students who are preparing for mathematics competitions in which at all levels, from the school level to international competitions, number theory has a significant role, and for doctoral students and scientists in the fields of number theory, algebra and cryptography. ContentsPreface to the Croatian edition Preface to the English edition 1. Introduction1.1. Peano's axioms References Notation Index Subject Index |

A more usual and informal appearance of Professor Andrej Dujella.

This video contains his lively lecture about Number Theoretic problems that he has studied,

originating from Diophantus (Ancient Greek mathematician), Euler and Fermat.

And excellent singer. He is talking to Dr. Vera Tonić, who is working in the field of topology.

On his left Professors Goran Lešaja, Georgia Southern University, USA, and Sonja Štimac, University of Zagreb, one of invited lecturers,

On his left Professors Goran Lešaja, Georgia Southern University, USA, and Sonja Štimac, University of Zagreb, one of invited lecturers,

expert in Dynamical Systems. Far on the left, Professor Andrej Ščedrov, expert in Mathematical Logic, Penn State University, USA,

who completed his studies of Mathematics at the University of Zagreb.

Biography of Professor Andrej Dujella, in Croatian.