ELEMENTARY NUMBER THEORY - WACŁAW MARZANTOWICZ, PIOTR ZARZYCKI

Discover the fascinating world of numbers with a textbook that introduces you to the basic concepts, theorems, and proofs of number theory. This book is the result of many years of didactic work by the authors with mathematics and computer science students, which guarantees an accessible and understandable approach to the subject. Ideal for students, teachers, and mathematics enthusiasts who want to expand their knowledge and skills.

• Basic concepts of number theory in one place
• Accessible introduction for students and teachers
• Answers to exercises to facilitate learning
• Proof of correctness of the Lucas-Lehmer test
• Reflection of many years of didactic work by the authors
• For students of mathematics and computer science
• For teachers of mathematics

This textbook is primarily intended for mathematics and computer science students at universities and technical colleges, mathematics teachers, and gifted students preparing for competitions and olympiads. To use the textbook, only knowledge of the elements of set theory, algebra, and mathematical analysis in the scope of the first two years of typical university courses is required. The authors have ensured that the material is presented in a clear and understandable way, which makes it an excellent tool for self-study.

In the second edition of the textbook, answers to most of the exercises and tasks have been added, which greatly facilitates the learning process and allows for independent verification of progress. Several new topics were also discussed, including the proof of the correctness of the Lucas-Lehmer test, which is a valuable addition to the knowledge for more advanced readers. This book is not only a collection of definitions and theorems, but above all a practical guide to the fascinating world of numbers.

The PWN Scientific Publishing House, known for its high-quality scientific publications, guarantees the reliability and timeliness of the presented information. The textbook has been carefully prepared in terms of content and editing, which makes it an indispensable source of knowledge for anyone interested in number theory. Whether you are a student, teacher, or simply a mathematics enthusiast, this book will surely meet your expectations.