Sochi T. Notes and Problems in Number Theory. Volume I: Introduction

No publisher info, 2023. — 236 p.This book is the first volume of a collection of notes and solved problems about number theory. Like my previous books, maximum clarity was one of the main objectives and criteria in determining the style of writing, presenting and structuring the book as well as selecting its contents.
This book is a collection of notes and problems in number theory. It is important to note the following about this book (as well as about this volume):
Number theory is very big subject and hence it is difficult to investigate properly in one volume (even at basic level). Therefore, this book (unlike my previous books) is designed to be multi-volume.
The book (at least in its first volume) is about elementary number theory. The present volume introduces the basics of number theory for the beginners who are not familiar with the topics, methods and techniques of number theory. In the following volumes we intend to build on the material of this volume and extend the investigated topics. So, our plan is to expand and elaborate (gradually) the subject of number theory horizontally and vertically as we progress and add more volumes. We may also investigate during this long journey other subjects (or rather topics of other subjects) related to number theory (such as abstract algebra) from the perspective of number theory and as much as they are related to it. So, the book is likely to become open ended. In fact, there are many uncertainties about the future development of this book apart from being about number theory.
The book can be used as a text or as a reference for an introductory course on number theory and may also be used for general reading in mathematics (especially by those who have the hobby of problem solving). The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or computing or cryptography or related subjects).