The book “Guide to Vector Algebra” by Matveev is an indispensable work for everyone who seeks to understand the basics of vector algebra and its application in various fields of science and technology. This manual is not just a textbook, but a real find for students, graduate students and teachers, as well as for anyone interested in mathematics and its practical aspects. Vector algebra is a fundamental part of mathematics, which finds its application in physics, engineering, computer graphics and many other sciences. In the book Matveev discusses the basic concepts, such as vectors, operations with them, linear transformations and much more. The author provides material that is accessible and understandable, which allows the reader not only to learn the theory, but also to learn how to apply it in practice. Who can like this manual? First of all, students of technical and natural science specialties who study vector algebra as part of their program. The book will also be useful to teachers who want to supplement their lectures with high-quality material, as well as to anyone who wants to refresh their knowledge in this area. Even if you are not a student, but are interested in mathematics or want to understand vector algebra for solving practical problems, this manual will be an excellent assistant. The topics raised in the book cover a wide range of issues, ranging from basic concepts to more complex concepts such as vector spaces and their properties. Matveev pays special attention to practical examples and tasks, which makes studying the material more fascinating and visual. The reader will be able not only to theoretically master vector algebra, but also to apply the acquired knowledge to solve real problems. The author’s style is distinguished by clarity and logical presentation . Matveev masterfully combines theory and practice, which allows the reader to easily assimilate the material and apply it in various fields. His other well-known works are also noteworthy as they continue to develop the topics covered in the Vector Algebra Handbook. For example, books on linear algebra and analytic geometry, which can be an excellent addition to the study of vector algebra. The book "Guide to Vector Algebra" not only helps to master important mathematical concepts, but also develops logical thinking, which is an important skill in the modern world. It will become a reliable companion for those who want to deepen their knowledge and confidently move along the path of scientific knowledge. In conclusion, if you are looking for a quality vector algebra manual that will be interesting, informative and accessible, then Matveev’s book is exactly what you need. It will not only help you to master the material, but also inspire you to further study mathematics and its applications. Do not miss the opportunity to take a step towards new knowledge and discoveries!