Book 687 Higher Mathematics: Dissection: Linear Algebra and Analytical Geometry: Learning. Rumshisky L. Z. , Karaseva V. A. , Mikhailova I. Yu. , Rumshisky L. Z. and Saburova T. N. is a unique educational material that will become an indispensable assistant for students, graduate students and anyone who seeks to better understand the basics of higher mathematics. This manual covers key topics of linear algebra and analytic geometry, offering the reader not only the theoretical knowledge but also the practical skills necessary to successfully master these disciplines. The book discusses the basic concepts and methods of linear algebra, such as vectors, matrices, systems of linear equations, and also explains in detail the principles of analytical geometry, including the study of curves and surfaces. The authors pay special attention to the intuitive understanding of mathematical concepts, which makes the material accessible and understandable even for those who do not have deep knowledge in this field. Each chapter contains many examples and tasks, which allows the reader not only to learn the theory, but also to apply the knowledge gained in practice. The book will be of interest to students of technical and natural sciences, as well as to anyone who wants to refresh their knowledge in the field of higher mathematics. It is suitable for both self-study and as a teaching tool for classes in universities .. If you plan to prepare for exams, take advanced training courses or just want to master mathematics at a deeper level, this guide will become your reliable companion. The topics raised in the book cover not only theoretical aspects, but also practical applications of linear algebra and analytical geometry in various fields of science and technology. The authors highlight the importance of these disciplines in modern research, such as computer graphics, machine learning, and physics. This makes the book especially relevant in the context of the rapid development of technology and science. The style of the authors is distinguished by the clarity and logic of the presentation . They aim to make complex mathematical concepts accessible and understandable to a wide audience. Rumshisky, Karasev, Mikhailova and Saburova are known for their other works in the field of higher mathematics, and this manual is a logical continuation of their research activities. Their approach to learning is based on the principles of active involvement of the reader in the learning process, which contributes to a deeper understanding of the material. If you are looking for a high-quality study guide in higher mathematics that will help you not only to understand complex topics, but also to develop analytical thinking, "No. 687 Higher Mathematics: Razd: Linear Algebra and Analytical Geometry" will be an excellent choice. This book is not just a manual - it is the key to understanding the mathematical foundations that underlie many modern technologies and scientific research. Do not miss the opportunity to immerse yourself in the world of higher mathematics with this fascinating and informative textbook!