The Book of Mathematics . Problems of increased difficulty for university students: a textbook” by Ivanov I. In. , Ivanova O. K. , Okuneva O. A. and Tolchennikova N . A. is an indispensable resource for students seeking to deepen their knowledge of mathematics and prepare for challenging exams This manual is not just a collection of tasks, but a real laboratory for the mind, where each student will be able to test his strength and develop analytical thinking. In this tutorial, you will find carefully selected problems that cover a wide range of topics, from algebra and geometry to mathematical analysis and probability theory. Each task is presented with clear conditions and requires a non-standard approach to the solution. The authors not only offer solutions, but also explain methods that will help the reader understand how and why a particular approach works. This makes the book especially valuable for those who want not only to solve problems, but also to master the principles underlying them. The book will be of interest to students of technical and natural sciences, as well as to anyone who wants to improve their mathematical skills. It is suitable for both independent work and for use in classes. If you are preparing for exams or test, this guide will be your reliable assistant. It will also be useful to teachers who are looking for quality tasks for their students. The topics that are raised in the book go beyond just solving the equations. The authors focus on logical thinking, the ability to analyze and synthesize information They emphasize the importance of mathematics as a tool for solving real-world problems, which makes the material particularly relevant in today's world, where mathematical skills are becoming increasingly in demand. The style of the authors is clear and accessible. They are able to explain complex things in simple language, which makes learning more exciting and less stressful. Ivanov I . In. and his colleagues have already established themselves as authors of quality teaching materials, and this manual was no exception. Their previous work was also highly appreciated among students and teachers, which testifies to a deep understanding of the subject and the ability to convey it to the reader. If you are looking for literature that will help you not only prepare for exams, but also develop critical thinking, "Mathematics. Challenges of increased difficulty for university students" will be an excellent choice. This book will help you not to be afraid of difficult tasks, but, on the contrary, to look at them as fascinating challenges. Do not miss the opportunity to take a step towards a deeper understanding of mathematics and develop your skills to a new level. Immerse yourself in the world of numbers, formulas and logical tasks with this unique guide that will become your faithful companion on the way to success in study and professional activities.