The book "Lectures on K-theory" by M. Atiyah is an outstanding work that immerses the reader in the world of modern mathematics, exploring one of the most exciting and challenging areas K-theory. This book will be a real discovery for both professional mathematicians and students seeking to deepen their knowledge in the field of algebraic topology and category theory. K-theory, in turn, is a powerful tool that is used to study various aspects of topological spaces and algebraic structures. Atiyah, being one of the founders of this theory, shares with readers his deep reflections and discoveries, which became the basis for many studies in mathematics. His lectures collected in this book not only explain the basic principles of K-theory, but also demonstrate its application in other fields, such as physics and string theory. The book “Lectures on K-theory” will be of interest to both senior students of mathematical faculties and graduate students working on dissertations in the field of algebraic topology .. It will also attract the attention of researchers who are looking for new ideas and approaches in their work. If you’re into mathematics and want to understand how K-theory can change your perception of this science, then this book is exactly what you need. The topics raised in the book cover a wide range of issues, ranging from the basics of K-theory to its more complex aspects. Atyi masterfully explains how K-theory can be used to analyze vector bundles and how it relates to other mathematical concepts. Readers will be able to see how theoretical ideas find practical application in a variety of fields, including particle physics and geometry. This versatility makes the book particularly valuable for those looking for connections between different disciplines. Atya's style is clear and deep, making complex concepts understandable. His ability to explain abstract ideas with intuitive examples and visualizations helps the reader not only to learn the material, but also to love mathematics. In "Lectures on K-theory" the author uses many illustrations and graphs, which makes reading not only informative, but also visually attractive. M. Atiyah is not only the author of this book, but also the winner of many prestigious awards, such as the Fields Prize. His works, such as "Geometry and Topology" and "A Course in Algebraic Geometry", are also noteworthy and can complement the understanding of topics covered in the "K-theory Lectures". Reading this book, you not only immerse yourself in the world of K-theory, but also discover the legacy of one of the greatest minds of our time. If you are looking for math books that can broaden your horizons and deepen your understanding of complex topics, K-theory lectures will be an excellent choice. This book is able to inspire and encourage new research, as well as give the reader a unique look at the relationship between mathematics and other sciences. Do not miss the opportunity to touch the intellectual heritage of M. Atiyah and discover the world of K-theory, which promises to be not only informative, but also fascinating