The book "Equalizations with private derivatives" by Bers L. by John F. and Schechter M. is a fascinating and deep dive into the world of mathematical analysis that will be of interest to both students and professional mathematicians. This work is not just a textbook, but a real find for those who seek to understand and master complex concepts related to private derivatives and their application in various fields of science and technology. From the very beginning, the authors set a tone that combines a strict scientific approach and the availability of presentation. They take as a basis not only theoretical aspects, but also practical examples, which makes the material alive and relevant. The book covers a wide range of topics, ranging from the basics of partial-derivative equations to more complex concepts such as theorems for the existence and uniqueness of solutions, characterization methods, and numerical methods. Each section is imbued with logic and consistency, which allows the reader to gradually delve into the topic without losing the thread of presentation. Who can like this book? First of all, it will be useful for students of mathematical and engineering specialties, as well as graduate students engaged in research in the field of applied mathematics . If you are interested in physics, economics or even biology, where partial-derivative equations play a key role, then this publication will become an indispensable assistant for you. The book will also be of interest to teachers who are looking for quality material for the preparation of lectures and seminars, as well as for those who want to refresh their knowledge in this area. One of the key topics raised in the book is the connection between mathematics and the real world. The authors show how partial-derivative equations describe phenomena occurring in nature — from heat propagation to fluid dynamics. This makes the material not only theoretically significant, but also practically applicable. The reader will be able to see how abstract mathematical concepts are reflected in everyday life and scientific research. The style of the authors is clear and logical, which makes complex topics more accessible for understanding. Burs, John and Schechter are not just authors, but recognized experts in their field. Their contributions to mathematics and physics are invaluable, and their other works, such as Functional Analysis and Methods of Mathematical Physics, are also noteworthy. By reading Private Derivatives, you not only become familiar with the theory, but also immerse yourself in a unique style that combines rigor and fascination. This book will be a real guide to the world of private derivatives, which will open up new horizons and opportunities for you. It will allow you not only to master the theoretical foundations, but also to learn how to apply them in practice, which is especially important in the modern world, where mathematics plays a key role in scientific and technological achievements. If you’re looking for quality material to study partial-derivative equations, this book is your perfect choice. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics and discover new horizons of knowledge!