Modern Problems of Mathematics of Mechanics . T. 9 Mathematics . Issue. 1 Small-scale topology and combinatorics in original problems”, created by the team of authors, is a unique and deep source of knowledge for those who seek to expand their horizons in the field of modern mathematics and its applications. This edition is part of the series, which combines advanced research and practical solutions to urgent problems , associated with small-scale topology and combinatorics , and intended for professionals, Post-graduate students , Senior students and all , who is interested in mathematical methods in mechanics and other sciences. This book reveals to the reader the wealth of original problems associated with small-scale topology and combinatorics, and shows how these areas can be used in solving complex problems of modern mechanics. The author's team, consisting of leading scientists, carefully selected materials in order not only to present the theoretical foundations, but also to offer practical approaches to their application. The result is a rich, informative and at the same time accessible book that stimulates analytical thinking and creative approach to solving problems. What is this book about? First of all, it immerses the reader in the world of modern mathematical methods used to analyze and model complex systems. Particular attention is paid to small-dimensional topology, a section that studies the properties of spaces and structures that persist with small deformations, which is especially important in mechanics, engineering calculations and physics. The book discusses in detail the original problems that require non-standard solutions and creativity, which makes it especially valuable for those who are looking for new ideas and methods in the field of mathematics. Combinatorics, as another important topic of the book, is revealed through the prism of practical problems related to optimization, calculation of variants and data structuring. The author’s approach allows the reader to understand how this theoretical knowledge can be applied to real engineering and scientific problems, which makes the book especially relevant for specialists working in the field of mechanics, physics, computer science and other technical sciences. Modern Problems of Mathematics of Mechanics . T. 9 Mathematics . Issue. 1 Low-dimensional topology and combinatorics in original tasks" is perfect for those who appreciate deep analysis and non-standard thinking. It will be of interest to senior students, graduate students and faculty looking for new ideas for research and lecture courses. The book can also become a handbook for engineers and researchers who are faced with the tasks of modeling and analyzing complex systems, where accuracy and innovative approach are important. The author's style is distinguished by clarity of presentation, consistency and richness of examples, which makes complex topics accessible and understandable. The book presents not only theoretical calculations, but also practical tasks, which allows the reader to consolidate the knowledge gained and apply them in his own research. In general, this book is not just a collection of problems and theories, but a real guide to modern methods and approaches in the mathematics of mechanics, which will inspire new discoveries and expand the boundaries of habitual thinking. If you are looking for a book that connects theory and practice, opens up new horizons in topology and combinatorics, and helps you understand how these areas can be used to solve complex engineering and scientific problems, then "Modern Problems of Mathematics Mechanics. T. 9 Mathematics . Issue. 1 Low-dimensional topology and combinatorics in original tasks" will become an indispensable assistant for you. This publication is a vivid example of how modern mathematical methods can become a powerful tool in the hands of a researcher, engineer or student striving for new knowledge and discoveries.