The book “Equalities and Inequalities: Non-standard Methods of Solving” by Olekhnik, Floods and Pasichenko is a fascinating and deep immersion in the world of mathematical problems that seemingly do not lend themselves to traditional methods of solving. This work will be a real discovery for students, teachers and anyone interested in mathematics and its applications in various fields of science and technology. The authors, each of whom has considerable experience in teaching and researching mathematics, offer the reader non-standard approaches to solving equations and inequalities. The book discusses not only classical methods, but also original techniques that can greatly simplify the process of finding solutions. This makes it especially valuable for those who seek to deepen their knowledge and expand their horizons in mathematics. The book will be of interest to both high school students and university students studying mathematics . It will also be suitable for teachers who are looking for new ways to explain complex topics to their students. If you are passionate about logical tasks, love to solve puzzles and strive for intellectual development, then this book will be a real find for you. The topics raised in the book cover a wide range of issues, from simple equations to more complex inequalities, including their practical application to real-world problems. The authors focus on how non-standard methods can be used to achieve results that seem unattainable using traditional approaches. This not only develops analytical thinking, but also inspires the search for new solutions, which is an important skill in any field. The style of the authors is characterized by accessibility and clarity of presentation. They are able to explain complex things in simple language, which makes the material understandable even for those who are just beginning to get acquainted with mathematics. The book is replete with examples and tasks that help the reader consolidate the knowledge gained and put it into practice. This makes reading not only useful, but also fascinating, because each new section opens up new horizons for you. In addition, Olekhnik, Floods and Pasichenko are known for their other works, which also deserve attention. Their approach to teaching mathematics and problem solving has become the basis for many training courses and manuals. Readers interested in their other works can look to books on mathematical analysis techniques and probability theory, which are also written in an accessible and engaging manner. This book is not just a textbook on mathematics - this is a real find for anyone who wants to learn how to think outside the box and find solutions in the most difficult situations. “Equals and Inequalities: Unconventional Solutions” is your chance to discover new horizons in mathematics and develop skills that will be useful to you in the future. Do not miss the opportunity to become part of this fascinating journey into the world of numbers and logic, which the authors will offer you.