The book "Induction and combinatorics" by N. I. Vilenkina is a fascinating and deep immersion into the world of mathematical logic and combinatorial structures. This work will be a real find for students, teachers and anyone interested in mathematics at a deeper level. Vilenkin, known for his work in number theory and mathematical logic, offers readers a unique approach to the study of induction and combinatorics that combines theoretical foundations and practical examples. In his book, the author explores the basic principles of mathematical induction a method that allows you to prove claims about natural numbers. Vilenkin not only explains how this method works, but also demonstrates its power through many examples and tasks that make the reader think and apply the knowledge gained in practice. Reading "Induction and combinatorics", you will find how induction can be used to solve various problems, from simple to complex, and how it is closely related to combinatorial principles. Combinatorics, in turn, is one of the most fascinating and diverse areas of mathematics. Vilenkin raises important topics such as permutations, combinations, and binomial coefficients, and shows how these concepts are applied in real life. Readers will be able to learn about different strategies for solving combinatorial problems, which will make their approach to mathematics more flexible and creative. The book will be especially interesting for students of mathematical and technical specialties, as well as teachers who are looking for high-quality and affordable material for their classes. Vilenkin uses a clear and logical style of presentation, which makes his book suitable for both beginners and more experienced readers who want to deepen their knowledge. If you are interested in topics such as theoretical computer science, algorithms or even logic, “Induction and combinatorics” will become a real treasure for you. One of the key features of the book is its interactive approach. Vilenkin offers a variety of tasks and exercises that will help readers consolidate the material and develop analytical thinking. This makes the book not only a theoretical tool, but also a practical tool for training the mind. Each section is accompanied by examples that illustrate the main ideas and allow the reader to see how they are applied in practice. N. I. Vilenkin is not only the author of this book, but also a well-known mathematician, whose works cover a wide range of topics in the field of mathematics. His writing style is clear and precise, which makes complex concepts understandable. Vilenkin is also known for his other works, such as Mathematical Analysis and Theory of Numbers, which are also popular with students and teachers. The book "Induction and combinatorics" is not just a textbook, but a real find for everyone who wants to understand and love mathematics. It raises important topics such as logic, proof structure, and combinatorial methods, making it an indispensable resource for study. If you are looking for a way to improve your math skills and want to learn how induction and combinatorics can change your view of this science, then this book should definitely take a place on your shelf. Thus, "Induction and combinatorics" H. I. Vilenkina is a fascinating and informative reading that will not leave indifferent any lover of mathematics.