"Lectures on partial differential equations" is an outstanding work of the outstanding mathematician and teacher Vladimir Igorevich Arnold, which will open up a world of complex but fascinating mathematical concepts before you. This book is not just a textbook, but a real treasure trove of knowledge, in which the author shares his unique approach to the study of partial-derivative equations (PPE) and their applications in various fields of science and technology. In his lectures, Arnold not only explains the theoretical foundations, but also illustrates them with concrete examples, which makes the material more accessible and understandable. It masterfully combines strict mathematical formulation with a lively and fascinating style of presentation, which allows the reader not only to assimilate information, but also to enjoy the learning process. This book will become a real guide for students, graduate students and teachers, as well as for anyone interested in mathematics and its applications in physics, engineering and other sciences. The topics covered in the book cover a wide range of issues, ranging from basic concepts to more complex concepts such as Gauss' theorem, thermal conductivity equations, and wave equations. Arnold raises important questions about the methods of solving UCP, how they can be applied to modeling real-world processes, and how they relate to other mathematical disciplines. The reader will be able to see how abstract mathematical ideas are reflected in real life, which makes the study of partial differential equations not only useful, but also exciting. The book will be of interest not only to specialists in the field of mathematics, but also to those who want to expand their knowledge in related fields. Students of technical and natural science specialties, graduate students, as well as teachers will find in it a lot of useful It will become an indispensable assistant for those who are ready to plunge into the world of complex mathematical concepts and strive for a deep understanding of the subject. Arnold's style is clear and logical, which allows even complex ideas to be presented in accessible language. His other well-known works, such as Geometry and Dynamics and Ordinary Differential Equations, also demonstrate his ability to explain complex concepts in a simple and understandable way. Arnold is not only a brilliant mathematician, but also a talented teacher who knows how to inspire his readers and students. "Lectures on partial differential equations" is not just a book, but a whole world in which you can immerse yourself by studying one of the most interesting and relevant topics in mathematics. If you are looking for a high-quality and in-depth understanding of partial-derivative equations, this book will be your reliable companion along the way. Do not miss the opportunity to discover new horizons in mathematics and science, immersing yourself in the fascinating world that Vladimir Igorevich Arnold offers you.