"Foundations of Geometry. Part 2: An Interpretation of Lobachevsky’s Geometry" is a captivating and profound exploration by V.F. Kagan that invites readers into the fascinating world of non-Euclidean geometry and its philosophical foundations. This book is a sequel to the first part, where the author introduced the basics of geometry; in the second, he delves deeper into the interpretation and application of Lobachevsky’s ideas—one of the pioneers of non-Euclidean geometry. Kagan doesn’t merely recount theorems and axioms; he offers a unique perspective on geometry as a living, evolving science capable of growth and adaptation. He examines how Lobachevsky’s concepts transformed our understanding of space and shape, and how these ideas continue to influence modern science and philosophy. The book is filled with intriguing reflections on how geometry can serve not only as a tool for describing the physical world but also as a means of exploring deeper, more abstract concepts. This work will appeal not only to students and teachers of mathematics but also to anyone interested in philosophy, the history of science, and mathematical inquiry. It’s suitable for high school students, university students, and science enthusiasts eager to broaden their horizons. If you’ve ever wondered how geometry can exist beyond the familiar confines of Euclidean space, this book will be a revelation. The topics covered go beyond pure mathematics, touching on philosophical questions about the nature of reality and our perception of space. Kagan encourages readers to reflect on how our understanding of geometry shapes our worldview. He demonstrates that geometry is more than a set of formulas—it’s a comprehensive way of thinking that influences other fields such as physics, astronomy, and even art. V.F. Kagan’s clear and accessible style makes his work appealing to a wide audience. He skillfully combines rigorous scientific insight with engaging storytelling, allowing readers not only to grasp complex ideas but also to enjoy the reading experience. Kagan is also known for his other works on mathematics and its philosophical aspects, establishing him as a respected authority in the field. If you’re interested in books on mathematics, philosophy, or the history of science, "Foundations of Geometry. Part 2" will be a valuable addition to your collection. It’s perfect for those seeking new approaches to familiar topics and for anyone curious about how mathematical ideas can influence our perception of the world. Don’t miss the opportunity to explore a universe where geometry transcends traditional boundaries and to expand your thinking with the insights of V.F. Kagan.