The book "Analytical geometry on the plane and in space", created by the team of authors, is a fascinating and deep immersion in the world of geometry, where mathematics meets the art of visualization. This edition will be an indispensable assistant both for students studying mathematics and for teachers seeking to explain complex concepts in a simple and accessible language. From the first pages, the reader finds himself in a world where geometric figures come to life, and abstract concepts become clear and visual. The book covers the basics of analytic geometry, from simple concepts of points, lines, and planes, to more complex topics such as curves and surfaces in space. Each section is permeated with logic and consistency, which allows the reader to master the material step by step, without losing interest and motivation. This book is especially suitable for students and high school students who are preparing for exams or want to deepen their knowledge in the field of mathematics. It will also be useful for teachers who are looking for quality materials to prepare for classes . If you are interested in topics such as vector algebra, coordinate systems or geometric transformations, then this edition will be a real find for you. The topics raised in the book go beyond the simple study of formulas and theorems. The authors focus on the practical application of analytical geometry in various fields: from physics to engineering, from computer graphics to architecture. The reader will be able to see how geometry affects our daily lives and how it is used to solve real-world problems. This makes the book not only a textbook, but also a source of inspiration for those who want to see how mathematics can be applied in various fields. The style of the authors is clear and accessible, which allows even the most complex topics to be understood. They use a variety of illustrations and graphs to visualize concepts and make them more visual. This is especially important in analytic geometry, where visual perception plays a key role. The reader will be able not only to read about geometric figures, but also to see them, which greatly facilitates the learning process. The book Analytical Geometry on the Plane and in Space can be compared with other known works in the field of mathematics, such as Euclid's Elements or Euclid's Elements.