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"Fascinating Algebra" by Y. I. Perelman is one of the most fascinating books about algebra. In it, this science seems to be separated from the blackboard, with which it is closely "fused" in the minds of most readers, and transferred to a free space where it finds a variety of applications. The author sees his main task as instilling in the reader an interest in algebra and making him want to fill in the gaps in his mathematical training on his own. After reading the book, the reader will know immeasurably more about the basic ideas of algebra and its applications than can be learned from dozens of "school" textbooks and manuals. The book has been translated into many languages. This is the first time a complete translation into Ukrainian has been published. The book will be of interest to anyone who wants to have a true understanding of mathematics, in particular, convincing evidence of its practical applications.