The book popularly describes many issues of the theory of construction of magic squares, their transformation. Along with well-known methods of construction, several original methods. are given. The methods of construction and properties of the perfect magic squares little studied in the Russian literature are considered. The book is addressed to all lovers of mathematics and in particular to those who are fond of combinatorial problems. Ease of presentation makes the book accessible and interesting to everyone - from schoolchildren and school teachers to students and graduate students .