Geometry : from isometries to special relativity / Nam-Hoon Lee.
| Author/creator | Lee, Nam-Hoon author. |
| Format | Book |
| Publication | Cham, Switerland : Springer, [2020] |
| Description | xii, 258 pages : color illustrations ; 24 cm. |
| Subjects |
| Series | Undergraduate Texts in Mathematics, 0172-6056 Undergraduate texts in mathematics. ^A236098 |
| Contents | Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index. |
| Abstract | "This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein's spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz-Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz-Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed"--Back cover. |
| Bibliography note | Includes bibliographical references and index. |
| ISBN | 9783030421007 |
| ISBN | 3030421007 |
| ISBN | (eBook) |