Analytic hyperbolic geometry in N dimensions : an introduction / / Abraham A. Ungar, Mathematics Department, North Dakota State University, Fargo, North Dakota, USA |
Autore | Ungar Abraham A. |
Pubbl/distr/stampa | Boca Raton : , : Taylor & Francis, , [2015] |
Descrizione fisica | 1 online resource (616 p.) |
Disciplina | 516.9 |
Collana | A Science Publishers Book |
Soggetto topico | Geometry, Hyperbolic |
ISBN |
0-429-17474-8
1-4822-3668-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Preface; Contents; List of Figures; Author's Biography; 1. Introduction; Part I: Einstein Gyrogroups and Gyrovector Spaces; 2. Einstein Gyrogroups; 3. Einstein Gyrovector Spaces ; 4. Relativistic Mass Meets Hyperbolic Geometry; Part II: Mathematical Tools for Hyperbolic Geometry; 5. Barycentric and Gyrobarycentric Coordinates; 6. Gyroparallelograms and Gyroparallelotopes; 7. Gyrotrigonometry; Part III: Hyperbolic Triangles and Circles; 8. Gyrotriangles and Gyrocircles; 9. Gyrocircle Theorems; Part IV: Hyperbolic Simplices, Hyperplanes and Hyperspheres in N Dimensions
10. Gyrosimplex Gyrogeometry11. Gyrotetrahedron Gyrogeometry; Part V: Hyperbolic Ellipses and Hyperbolas; 12. Gyroellipses and Gyrohyperbolas ; Part VI: Thomas Precession; 13. Thomas Precession; Notations and Special Symbols; Bibliography |
Record Nr. | UNINA-9910787261603321 |
Ungar Abraham A. | ||
Boca Raton : , : Taylor & Francis, , [2015] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Analytic hyperbolic geometry in N dimensions : an introduction / / Abraham A. Ungar, Mathematics Department, North Dakota State University, Fargo, North Dakota, USA |
Autore | Ungar Abraham A. |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Boca Raton : , : Taylor & Francis, , [2015] |
Descrizione fisica | 1 online resource (616 p.) |
Disciplina | 516.9 |
Collana | A Science Publishers Book |
Soggetto topico | Geometry, Hyperbolic |
ISBN |
0-429-17474-8
1-4822-3668-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Preface; Contents; List of Figures; Author's Biography; 1. Introduction; Part I: Einstein Gyrogroups and Gyrovector Spaces; 2. Einstein Gyrogroups; 3. Einstein Gyrovector Spaces ; 4. Relativistic Mass Meets Hyperbolic Geometry; Part II: Mathematical Tools for Hyperbolic Geometry; 5. Barycentric and Gyrobarycentric Coordinates; 6. Gyroparallelograms and Gyroparallelotopes; 7. Gyrotrigonometry; Part III: Hyperbolic Triangles and Circles; 8. Gyrotriangles and Gyrocircles; 9. Gyrocircle Theorems; Part IV: Hyperbolic Simplices, Hyperplanes and Hyperspheres in N Dimensions
10. Gyrosimplex Gyrogeometry11. Gyrotetrahedron Gyrogeometry; Part V: Hyperbolic Ellipses and Hyperbolas; 12. Gyroellipses and Gyrohyperbolas ; Part VI: Thomas Precession; 13. Thomas Precession; Notations and Special Symbols; Bibliography |
Record Nr. | UNINA-9910820575903321 |
Ungar Abraham A. | ||
Boca Raton : , : Taylor & Francis, , [2015] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar |
Autore | Ungar Abraham A. |
Pubbl/distr/stampa | London, England : , : Academic Press, , 2018 |
Descrizione fisica | 1 online resource (420 pages) : illustrations |
Disciplina | 530.11 |
Collana | Mathematical Analysis and its Applications |
Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
ISBN |
0-12-811774-5
0-12-811773-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Introduction -- 2. Einstein gyrogroups -- 3. Einstein gyrovector spaces -- 4. Bi-gyrogroups and bi-gyrovector spaces - P -- 5. . Bi-gyrogroups and bi-gyrovector spaces - V -- 6. Applications to time-space of signature (m,n) -- 7. Analytic bi-hyperbolic geometry : the geometry of bi-gyrovector spaces. |
Record Nr. | UNINA-9910583474603321 |
Ungar Abraham A. | ||
London, England : , : Academic Press, , 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|