"Substantial Algebraic Geometry" is an outstanding work written by the great mathematician Vladimir Igorevich Arnold .. This book is a deep dive into the world of algebraic geometry, exploring its material aspects and opening new horizons for study. Arnold, known for his outstanding work in mathematics, in this work demonstrates not only his knowledge, but also the unique ability to explain complex concepts in a simple and accessible language. The book discusses the basic ideas and methods of real algebraic geometry, including such important topics as polynomials, curves and surfaces. Arnold offers readers not only theoretical foundations, but also practical examples, which makes the material more clear and understandable. He raises questions regarding the relationship of algebraic geometry to other branches of mathematics, such as topology and analysis, which allows readers to see the full versatility of this discipline. Who can like Real Algebraic Geometry? This book will be of interest to both students and graduate students studying mathematics, and teachers who want to deepen their knowledge in this area . It will also attract the attention of researchers and practicing mathematicians who are looking for new approaches and ideas for their work. If you are passionate about mathematics, love to solve complex problems and want to expand your horizons, this work will be a real find for you. The themes raised in the book are diverse and multi-layered. Arnold explores not only abstract mathematical concepts, but also their application in real life. It shows how algebraic geometry can be used to solve practical problems such as optimization and modeling. This makes the book not only a theoretical work, but also a practical guide for those who want to put their knowledge into practice. Arnold's style is clear and logical. He is able to explain complex ideas in simple language, which makes his books available to a wide audience. In Substantial Algebraic Geometry, he continues this tradition by offering readers not only a deep understanding of the topic, but also the pleasure of reading. Its ability to connect different areas of mathematics and make them understandable to the reader is what sets it apart from other authors. In addition, Arnold is the author of many other well-known works, such as "Ordinary Differential Equations" and "Geometry and Topology", which also deserve attention. His works are always distinguished by a high level of scientific rigor and originality, which makes them an important contribution to modern mathematics. If you are looking for a book that will not only deepen your knowledge in algebraic geometry, but also inspire new ideas and discoveries, Vladimir Igorevich Arnold’s “Substantial Algebraic Geometry” will be an excellent choice for you. This book is not just a textbook, but a real encyclopedia of knowledge that will open up new horizons for you in the world of mathematics. Do not miss the opportunity to get acquainted with the work of one of the greatest minds of our time and immerse yourself in the fascinating world of real algebraic geometry.