The Problems of Geometry . Differential geometry and topology" authored by famous mathematicians Georgy Novikov , Vladimir Mishchenko , Alexey Solovyov and Boris Fomenko is a unique work which combines theoretical foundations and practical problems in two most important branches of mathematics - differential geometry and topology This book will be a real find for both students and teachers, as well as for anyone interested in in-depth study of geometry. Unlike many textbooks, which often focus on theory, "Geometry Tasks" offers the reader not only explanations of key concepts, but also a variety of tasks of varying complexity, which allows you to consolidate the knowledge gained in practice. Each task is accompanied by detailed solutions and comments, which makes the learning process more accessible and exciting. This is especially important for students who are preparing for exams or olympiads, as well as for those who want to develop their analytical abilities. The book covers a wide range of topics, ranging from the basics of differential geometry, such as curvature and diversity, to more complex concepts of topology, including homotopy and homology. The authors pay attention to both classical aspects and modern achievements in these areas, which makes the publication relevant and useful for study. The reader will be able to delve into such issues as the properties of geodetic lines, the concept of isometry and topological spaces, as well as explore various types of varieties and their applications. This book will be interesting not only for students of mathematical faculties, but also for graduate students, researchers and teachers who want to expand their knowledge in the field of geometry. It can also attract the attention of mathematics lovers who want to understand complex but fascinating topics. If you are passionate about mathematics, love to solve problems and strive for a deep understanding of geometric concepts, then “Tasks in geometry” will become a real treasure for you. The style of the authors is distinguished by clarity and accessibility, which makes it easy to perceive even the most complex ideas. Georgy Novikov, known for his work in topology and differential geometry, as well as his colleagues, such as Vladimir Mishchenko and Boris Fomenko, made a significant contribution to the development of these disciplines. Their experience and knowledge make this book not only a tutorial, but also a real guide to action for anyone who wants to deepen their mathematical skills. The Problems of Geometry . Differential geometry and topology" is not just a collection of problems, it is a full-fledged tool for studying and mastering complex mathematical concepts. It inspires creativity and research, encouraging the reader to look for new ways to solve problems and apply the knowledge gained in practice. If you are looking for a quality geometry tutorial that combines theory and practice, this edition will be an excellent choice. In addition, this book can be useful for those interested in related fields such as physics, engineering and computer science, where geometric and topological concepts play an important role. Ultimately, The Geometry Challenge is not just a book, but a world full of discoveries and opportunities for everyone who is ready to immerse themselves in the fascinating world of mathematics.