"Elements of Mathematical Logic. Algorithms and recursive functions” is a fascinating and in-depth study that opens the door to the world of mathematical logic and algorithmic thinking. The team of authors, consisting of experienced scientists and practitioners, created this book for everyone who seeks to understand the basics of logical analysis and algorithmic processes, as well as for those who want to deepen their knowledge in the field of computer science and mathematics. The book covers a wide range of topics, ranging from the basics of mathematical logic to complex concepts of recursive functions and algorithms. In it you will find not only theoretical aspects, but also practical examples that will help you better absorb the material. The authors aim to make complex ideas accessible using clear and understandable language, making this work ideal for undergraduates, graduate students, and anyone interested in mathematics and computer science. Readers who are fond of logic, mathematics, programming and algorithms will find invaluable knowledge in this book. It will be especially useful for those who study computer science at the university level, as well as for those who are preparing for exams or want to deepen their skills in programming and data analysis. The book will be an excellent addition to the educational materials and will help develop critical thinking and analytical abilities. One of the key topics raised in the book is the relationship between mathematical logic and algorithms. The authors emphasize how logical principles can be applied to create efficient algorithms, which is an important aspect in today's world where data and information play a central role. The book also explores the concept of recursion, explaining how it can be used to solve complex problems, which is an integral part of programming and software development. The style of the authors is clear and structured. They emphasize that each section flows logically from the previous one, which allows the reader to easily follow the course of thought and absorb the material. This makes the book not only a textbook, but also a real guide to the complex world of mathematical logic and algorithms. If you are looking for literature that will help you master the basics of mathematical logic and algorithmic thinking, this book will be a real find for you. It can be a great addition to works such as "Algorithms: Construction and Analysis" by Corman, Leiserson and Rivest or "Mathematical Logic" by P. K. M. Login. "Elements of Mathematical Logic. Algorithms and recursive functions” is not just a book, but a whole world of knowledge waiting to be discovered. It inspires learning, immerses in fascinating wilds of logic and algorithms, and will certainly be a valuable resource for anyone looking to develop their skills in these areas. Do not miss the opportunity to get acquainted with this unique work, which will help you not only to understand, but also to love mathematics and logic!