Analytical Geometry and Linear Algebra . Lectures of the Department of Higher Mathematics of MIPT by Umnova A. E. It is a unique educational material that immerses the reader in the world of mathematical concepts and theories necessary for a deep understanding of analytical geometry and linear algebra. This work is not just a set of lectures, but a carefully structured course that can become a reference book for students, graduate students and anyone interested in mathematics at a deeper level. In this book, the author shares his knowledge and experience gained over the years of teaching at one of the most prestigious technical universities in the country. Umnov A. E. not only explains the basic concepts, but also demonstrates how they are applied in practice, which makes the material especially valuable for those who seek not only theoretical, but also practical understanding of the subject. The book covers a wide range of topics: from vectors and matrices to systems of linear equations and their geometric interpretation. The reader will be able to learn how to use these tools to solve real problems, which makes the course relevant for students of engineering and scientific specialties. Who can like this book? First of all, it will be of interest to students of technical and natural sciences who study mathematics at an in-depth level . However, not only students will find useful information in it .. Teachers, graduate students and even practitioners in the field of science and technology will be able to learn a lot from this book. If you are interested in mathematics, want to improve your skills or just looking for a high-quality textbook on analytical geometry and linear algebra, then this publication will be an excellent choice. The topics raised in the book cover not only the basic aspects of analytic geometry and linear algebra, but also more complex concepts such as transformations and their applications. Umnov emphasizes the importance of understanding the geometric interpretation of mathematical concepts, which allows the reader to better assimilate the material and apply it in various fields. The book also contains many examples and challenges, which makes the learning process more interactive and fun. The author's style is distinguished by clarity and accessibility of presentation, which makes it easy to assimilate even the most complex topics. Umnov A. E. known for his lectures, which have always been of high quality and attention to detail. His other well-known works are also devoted to mathematics and its applications, and each of them carries the same philosophy - accessibility and practical orientation. In addition, the book "Analytical Geometry and Linear Algebra" can be useful for those who are preparing for exams, Olympiads or want to deepen their knowledge in the field of mathematics. It will be an excellent addition to other textbooks and manuals, such as Gilbert Strang's Linear Algebra or Analytical Geometry. N. Kolmogorov . Analytical Geometry and Linear Algebra . Lectures of the Department of Higher Mathematics of MIPT "is not just a textbook, but a whole world of mathematical discoveries, which is waiting for its reader. If you want to immerse yourself in the fascinating world of analytic geometry and linear algebra, this book will become your reliable guide. Do not miss the opportunity to expand your knowledge and skills in one of the most important areas of mathematics!