"Tasks of All-Union Mathematical Olympiads" is a unique edition created under the authorship of N. B. Vasilieva and A. A. Egorova, which is a real treasure trove for all who are passionate about mathematics and strive to develop their analytical abilities This book will be an excellent assistant for both schoolchildren and students, as well as for teachers and all lovers of mathematics who want to immerse themselves in the world of complex tasks and intellectual challenges. This collection presents the tasks that were proposed at the All-Union Mathematical Olympiads held in different years. Each task is not just a mathematical puzzle, but an opportunity to test your knowledge and skills, as well as develop logical thinking and a creative approach to solving problems. The authors carefully selected tasks that are not only diverse in their content and level of complexity, but also reflect the versatility of mathematical science. In the book you can find problems in algebra, geometry, combinatorics and number theory, which makes it a universal tool for preparing for Olympiads and exams. The book will be especially interesting for high school students who are preparing for Olympiads and competitions, as well as students of mathematical specialties who want to deepen their knowledge. Teachers will find in it useful materials for preparing lessons and additional tasks, and lovers of mathematics will be able to enjoy intellectual challenges and expand their horizons. The topics raised in the book cover not only pure mathematics, but also philosophical aspects of thinking, such as logic, decision strategies, and creative approach to problems. The authors emphasize that mathematics is not only a set of formulas and rules, but also an art that requires intuition and originality. Each section of the book is accompanied by comments and tips, which makes the learning process more exciting and accessible. N. B. Vasilyev and A. A. Egorov are well-known authors in the field of mathematical education, and their writing style is distinguished by clarity and logic. They skillfully combine theory and practice, which allows readers not only to assimilate the material, but also to apply it in practice. Their previous works, such as “Mathematics for Olympiads” and “Algebra and Geometry for High School Students”, have also gained recognition and popularity among students and teachers. The book "Tasks of All-Union Mathematical Olympiads" will become an indispensable companion for everyone who wants not only to prepare for the Olympiads, but also simply to enjoy the process of solving mathematical problems. It inspires creativity and opens new horizons in the understanding of mathematics. If you’re looking for ways to develop your math skills, improve logical thinking, or just want to test yourself in solving interesting problems, this book is what you need. Do not miss the opportunity to immerse yourself in the world of mathematics, which offers "Tasks of all-Union mathematical Olympiads" This book is not just a collection of tasks, but a whole universe full of fascinating discoveries and intellectual adventures.