The book "Fundamentals of linear and vector algebra" under the authorship of a team of authors, including T. P. Pushkarev is an indispensable resource for students, graduate students and anyone interested in mathematics and its applications in various fields of science and technology. This edition not only covers the key concepts of linear and vector algebra, but also does so in an accessible and fascinating form, making it an ideal textbook for self-study. The book focuses on the basic concepts of linear algebra, such as vectors, matrices, systems of linear equations and their solutions. The reader is immersed in the world of vector spaces, linear transformations and eigenvalues, which is the basis for understanding more complex mathematical concepts. Each section of the book is illustrated with examples and problems, which allows not only to learn the theory, but also to apply it in practice. This makes the book especially useful for students of technical and natural sciences specialties, as well as for anyone seeking to improve their skills in mathematics. Who can like this edition? First of all, it will be interesting for university students studying mathematics, physics, engineering and related disciplines . However, the book is not limited to the academic audience. It is also suitable for those who work in the field of computer science, economics, statistics and other areas where linear algebra finds its application. Even if you just want to refresh your knowledge or get acquainted with this topic, “Basics of linear and vector algebra” will be an excellent choice. The topics raised in the book go beyond the simple study of formulas and theorems. The authors focus on the practical application of linear algebra in real-world problems such as data processing, computer graphics, optimization, and machine learning. This makes the book relevant in light of current trends in science and technology, where mathematical models are becoming increasingly important. Readers will be able to see how theoretical knowledge is transformed into tools for solving specific problems, which adds additional value to the material. The style of the authors is clear and structured, which makes it easy to assimilate even the most complex concepts. Each section logically follows from the previous one, creating a holistic picture of linear algebra. The authors use many examples and tasks, which makes the learning process more interactive and exciting. This is especially important for those who may have difficulty perceiving abstract mathematical concepts. The book "Fundamentals of Linear and Vector Algebra" is not only a textbook, but also a real guide to the world of mathematics. It can become the basis for further study of more complex topics, such as differential equations, mathematical analysis and theoretical mechanics. If you are looking for a quality and affordable guide to linear algebra, this edition will be your reliable assistant. Thus, Fundamentals of Linear and Vector Algebra is not just a book, but a whole world of possibilities for those who want to understand mathematics and its applications more deeply. If you want to expand your knowledge and skills in this area, do not miss the chance to get acquainted with this fascinating publication.