The book "Collection of problems in analytical geometry and linear algebra" by Smirnov is an indispensable resource for students, graduate students and anyone who seeks to deepen their knowledge in the field of mathematics. This collection is not just a set of tasks, but a carefully thought-out tool that will help readers master the complex concepts of analytical geometry and linear algebra. The book contains a variety of tasks covering a wide range of topics: from the basics of vectors and matrices to more complex issues related to linear transformations and geometric interpretations. Each task is accompanied by detailed solutions and comments, which makes the material understandable even to those who are just starting their way in studying these disciplines. Smirnov masterfully combines theory and practice, which allows readers not only to solve problems, but also to understand the material studied more deeply. This book will be of interest to students of technical and natural science specialties, as well as to anyone who wants to prepare for exams or Olympiads in mathematics. It is suitable both for self-study and for use in educational institutions. If you are looking for something similar, then you may be interested in other works in mathematics, such as "Linear Algebra and its Applications" D. X. Lyons or "Analytical Geometry" A. P. Kostyukova . Topics raised in the collection range from theoretical foundations to practical applications. For example, readers will be able to learn how vectors and matrices are used to solve real-world problems, such as simulation of physical processes or optimization. Smirnov emphasizes the importance of these disciplines in the modern world, where mathematical methods are becoming increasingly relevant in various fields, from economics to engineering. The author's style is distinguished by clarity of presentation and accessibility. Smirnov, being an experienced teacher, knows how to convey complex ideas to students. His other well-known works, such as The Course of Higher Mathematics and Problems in Mathematical Analysis, have also been recognized for their structure and practical orientation. In his Collection of Problems in Analytical Geometry and Linear Algebra, he continues this tradition by offering readers not only tasks but also the opportunity to develop logical thinking and analytical abilities. The book deserves attention not only due to its content, but also due to the way it is organized. Each chapter smoothly moves into the next, creating a logical chain that helps the reader gradually immerse himself in the material. This is especially important for those who may have difficulty understanding mathematical concepts. If you are looking for a way to improve your skills in analytical geometry and linear algebra, Smirnov’s “Collection of Problems in Analytical Geometry and Linear Algebra” will become your reliable assistant. This book will not only help you prepare for exams, but will also open doors to the world of mathematics, where each solved example brings you closer to understanding complex mathematical structures and their application in real life. Do not miss the opportunity to take a step towards new knowledge and skills!