Basics of Mathematics . Elements of set theory: Educational and methodological manual for students , students in the direction of" is a unique and carefully worked out manual , created by a team of authors to help students master the fundamental concepts of mathematics , necessary for successful training and further professional activities . This book becomes an indispensable companion for those who are just beginning their journey in the world of exact sciences, and at the same time serves as a reliable guide for those who want to strengthen their knowledge and understand the foundations of set theory, which is the cornerstone of modern mathematics. The focus of this tutorial is the concepts underlying set theory, such as sets, their properties, operations, and relationships. The authors masterfully reveal complex topics, turning them into accessible and understandable explanations, saturated with examples and illustrations, which makes the material not only useful, but also fascinating. The book offers a systematic approach to learning, starting with simple definitions and ending with more complex concepts, such as functions, relationships and cardinal characteristics of sets. Thanks to this, the reader gradually plunges into the deep world of mathematical structures, which contributes to the development of analytical thinking and logical apparatus. This manual is ideal for students studying in areas related to mathematics, computer science, physics and engineering sciences, as well as teachers looking for high-quality educational material for their classes. Age audience from beginning students to those who want to systematize and deepen their knowledge The book will be interesting both for those who are first faced with set theory, and for those who already have basic knowledge and want to expand them. Its content will help to understand why set theory is the basis for many branches of mathematics and how it is applied in various fields of science and technology. The book pays special attention to practical aspects, which makes it not only a theoretical tool, but also a tool for self-study, homework and exam preparation. The authors use clear and lively language, avoiding complex terms without explaining what makes the material available to a wide audience. The book contains a variety of exercises, tasks and examples that help to consolidate the knowledge gained and develop logical thinking skills. The style of presentation is accurate and systematic, which makes it easy to navigate in the material and assimilate it in stages. The team of authors, known for its other educational publications in mathematics, has created a book that not only meets the modern requirements of educational programs, but also inspires further study of mathematics. Their approach to teaching is characterized by attention to detail, practical orientation and the desire to make the complex understandable and interesting. If you are looking for a tutorial that will help you understand the basics of set theory and lay a solid foundation for further study of mathematics, "Basics of Elementary Mathematics Course. Set Theory Elements" will be a great choice for you. This book is not just a textbook, but a key to the world of exact sciences, revealing to the reader wide horizons of knowledge and stimulating to independent search for solutions. It should be taken in the hands of students, teachers, as well as anyone who appreciates high-quality educational material and wants to understand why mathematics is the language of science and technology, and how it helps to model and analyze the world around them. If you are interested in search queries related to elementary mathematics, set theory, student math tutorials or math teaching materials, this book is sure to get your attention. It will become a reliable assistant in learning, expand your knowledge and help you confidently move along the path of mathematical knowledge.