| Description |
1 online resource |
| Series |
Undergraduate Texts in Mathematics, 0172-6056 |
|
Undergraduate texts in mathematics, 0172-6056
|
| Contents |
Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Geometry.
|
|
geometry.
|
|
Algebraic geometry.
|
|
Mathematical physics.
|
|
Non-Euclidean geometry.
|
|
Mathematics -- Geometry -- Analytic.
|
|
Science -- Mathematical Physics.
|
|
Mathematics -- Geometry -- Non-Euclidean.
|
|
Matemáticas -- Geometría -- Espacios analíticos
|
|
Física matemática
|
|
Geometry
|
| Form |
Electronic book
|
| ISBN |
9783030421014 |
|
3030421015 |
|
9783030421021 |
|
3030421023 |
|
9783030421038 |
|
3030421031 |
|
