The book “Lectures on Private Derivatives Equations” by Vladimir Igorevich Arnold is not just a textbook, but a real treasure trove of knowledge for everyone who seeks to understand the world of mathematical analysis and its applications more deeply. Arnold, a prominent Russian mathematician known for his work in differential geometry, topology, and mechanics, offers the reader a unique perspective on partial-derivative equations (PPEs), which play a key role in mathematics and physics. This book is intended for undergraduates, graduate students, and faculty, as well as anyone interested in mathematics and its practical applications. If you are passionate about mathematics, physics, engineering or related sciences, then “Lectures on partial derivatives equations” will become an indispensable source of knowledge for you. Arnold focuses on an intuitive understanding of complex concepts, which makes his lectures accessible even to those who are just beginning their journey in the study of this field. In his lectures, the author covers a wide range of topics, ranging from the basics of the theory of UCP to more complex aspects, such as decision methods and applications in various fields of science. Arnold not only outlines the theory, but also demonstrates how these equations are applied in real life from modeling physical processes to solving problems in engineering. This creates an intriguing connection between abstract mathematics and practical problems, making reading a book particularly fascinating. One of the main topics raised in the book is the importance of understanding the structure of partial-derivative equations and their solutions. Arnold shows how different methods, such as the characteristic method and the variable separation method, can be used to solve specific problems. Readers will be able to see how mathematical models can describe fluid dynamics, heat transfer, and other physical phenomena, making the study of UCP not only useful, but also exciting. Arnold's style is clear and logical, which allows the reader to easily follow his thoughts. He skillfully combines rigorous mathematical calculations with intuitive explanations, which makes his lectures not only informative, but also fascinating. This book is not just a set of formulas and theorems, but a real philosophy of mathematics, where each equation becomes part of the big picture. In addition to "Lectures on partial differential equations", Arnold is known for his other works, such as "Ordinary Differential Equations" and "Geometry and Topology". His work has gained recognition not only in Russia, but also abroad, and continues to inspire a new generation of mathematicians. If you are looking for a book that will help you not only to master the theory of partial derivatives equations, but also to see how this theory is applicable in the real world, then Vladimir Igorevich Arnold’s Lectures on Partial Derivative Equations is exactly what you need. This book will be your reliable companion in the world of mathematical analysis, opening up new horizons and deepening your understanding of complex mathematical concepts. Do not miss the opportunity to immerse yourself in a world where mathematics meets reality, and discover the magic of partial-derivative equations along with one of the greatest minds of our time.