Before the reader is the work of the outstanding American mathematician and popularizer of science Martin Gardner, translated into Russian for the first time. The author, as always, remains true to his unique style, which is characterized by brightness, clarity, subtle humor, brilliance of thought, and constant involvement of the reader in independent creativity. The book presents entertaining mathematical problems and puzzles, published by the author for a number of years on the pages of Isaac's Magazine of Science Fiction Asimov". These problems, compiled by M. Gardner himself, the enthusiastic readers of his magazine column, and the author's friends and colleagues, relate equally to both the world of mathematics itself and the world of logical paradoxes, many of which are presented in the form of fantastic stories on mysterious distant planets. The material in the book is structured in such a way that each puzzle is given an answer, which in most cases gives rise to new questions related to the corresponding topic. The solution to these new questions is given at the next level of answers. In total, the book has four sections with answers and solutions, so that the reader can sequentially move from one section to another, gradually deepening his understanding. The book will not leave indifferent both professional mathematicians, teachers and leaders of mathematical circles, and the widest range of lovers of entertaining mathematical and logic problems and puzzles, connoisseurs of the science fiction genre.