Book 1775 Discrete Mathematics: Elements of Logical and Mathematical Language: Ch. 2: Training. Prokopchuk Yu . Yu. , Diacko A. G. , Ryabova L. P. and wide A. and . is an important and indispensable resource for students, graduate students and anyone interested in the basics of discrete mathematics and logic This tutorial not only deepens knowledge about mathematical structures, but also develops the critical thinking necessary to solve complex problems in various fields of science and technology. The second part of this manual continues the study of the topics touched on in the first part and immerses the reader in the world of logical-mathematical language, which is the basis for understanding more complex mathematical concepts. The authors, with rich experience in teaching and research activities, offer readers an accessible and understandable explanation of key concepts such as sets, functions, relationships, and graphs. Each chapter is filled with examples, tasks and exercises that help to consolidate the material studied and develop logical thinking skills. The book will be especially useful for students of technical and mathematical specialties, as well as for anyone who is preparing for exams or wants to deepen their knowledge in the field of discrete mathematics. It will be an excellent help for those who study computer science, programming, computer science or related disciplines. Due to the clear structure and logical presentation of the material, the manual is suitable for both self-study and for use in the educational process. The topics covered in the book cover a wide range of issues related to logic, combinatorics and algorithms. The authors emphasize the importance of discrete mathematics in the modern world, where it lies at the heart of software development, cryptography and data analysis. The book highlights how mathematical models can be applied to solve real-world problems, making it particularly relevant in the face of rapid technology development. The style of the authors is distinguished by clarity and accessibility, which allows even complex concepts to be presented in a simple and understandable form. Prokopchuk, Dyachko, Ryabov and Shirokov are known for their other work in mathematics and education, and their experience allows them to create high-quality educational materials that meet modern requirements. If you are looking for books on discrete mathematics, logic or mathematical language, this guide will be a great addition to your library. It will not only help you to master the basic principles, but also inspire you to further study mathematics and its applications. 1775 Discrete Mathematics: Elements of Logic-Mathematical Language 2: Training. The manual is a step towards a deep understanding of the foundations that underlie many modern technologies and scientific research. Do not miss the opportunity to immerse yourself in the world of discrete mathematics with this fascinating and informative guide, which will become your reliable companion on the way to new knowledge and discoveries!