Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Geometry of continued fractions / / Oleg N. Karpenkov
| Geometry of continued fractions / / Oleg N. Karpenkov |
| Autore | Karpenkov Oleg |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (462 pages) |
| Disciplina | 512 |
| Collana | Algorithms and Computation in Mathematics |
| Soggetto topico |
Algebra
Fraccions contínues Geometria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783662652770
9783662652763 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996479372503316 |
Karpenkov Oleg
|
||
| Berlin, Germany : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Geometry of Continued Fractions / / by Oleg N. Karpenkov
| Geometry of Continued Fractions / / by Oleg N. Karpenkov |
| Autore | Karpenkov Oleg |
| Edizione | [2nd ed. 2022.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (462 pages) |
| Disciplina | 512 |
| Collana | Algorithms and Computation in Mathematics |
| Soggetto topico |
Algebra
Approximation theory Convex geometry Discrete geometry Number theory Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Convex and Discrete Geometry Number Theory |
| ISBN |
9783662652770
9783662652763 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions -- Chapter 2. On integer geometry -- Chapter 3. Geometry of regular continued fractions -- Chapter 4. Complete invariant of integer angles -- Chapter 5. Integer trigonometry for integer angles -- Chapter 6. Integer angles of integer triangles -- Chapter 7. Quadratic forms and Makov spectrum. -- Chapter 8. Geometric continued fractions -- Chapter 9. Continuant representation of GL(2,Z) Matrices -- Chapter 10. Semigroup of Reduced Matrices -- Chapter 11. Elements of Gauss reduction theory -- Chapter 12. Lagrange’s theorem -- Gauss-Kuzmin statistics -- Chapter 14. Geometric aspects of approximation -- Chapter 15. Geometry of continued fractions with real elements and Kepler’s second law -- Chapter 16. Extended integer angles and their summation -- Chapter 17. Integer angles of polygons and global relations for toric singularities -- Part II. Multidimensional continued fractions -- Chapter 18. Basic notations and definitions of multidimensional integer geometry -- Chapter 19. On empty simplices, pyramids, parallelepipeds -- Chapter 20. Multidimensional continued fractions in the sense of Klein -- Chapter 21. Dirichlet groups and lattice reduction -- Chapter 22. Periodicity of Klein polyhedral. Generalization of Lagrange’s Theorem -- Chapter 23. Multidimensional Gauss-Kuzmin Statistics -- Chapter 24. On the construction of multidimensional continued fractions -- Chapter 25. Gauss reduction in higher dimensions. Chapter 26. Approximation of maximal commutative subgroups -- Capter 27. Other generalizations of continued fractions. References. Index. |
| Record Nr. | UNINA-9910574044103321 |
|
Karpenkov Oleg
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of Continued Fractions / / by Oleg Karpenkov
| Geometry of Continued Fractions / / by Oleg Karpenkov |
| Autore | Karpenkov Oleg |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (409 p.) |
| Disciplina | 515.243 |
| Collana | Algorithms and Computation in Mathematics |
| Soggetto topico |
Algebra
Approximation theory Convex geometry Discrete geometry Number theory Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Convex and Discrete Geometry Number Theory |
| ISBN | 3-642-39368-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions -- Chapter 2. On integer geometry -- Chapter 3. Geometry of regular continued fractions -- Chapter 4. Complete invariant of integer angles -- Chapter 5. Integer trigonometry for integer angles -- Chapter 6. Integer angles of integer triangles -- Chapter 7. Continued fractions and SL(2; Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum -- Chapter 8. Lagrange theorem -- Chapter 9. Gauss-Kuzmin statistics -- Chapter 10. Geometric approximation aspects -- Chapter 11. Geometry of continued fractions with real elements and the second Kepler law -- Chapter 12. Integer angles of polygons and global relations to toric singularities -- Part 2. Klein polyhedra: Chapter 13. Basic notions and definitions of multidimensional integer geometry -- Chapter 14. On empty simplices, pyramids, parallelepipeds -- Chapter 15. Multidimensional continued fractions in the sense of Klein -- Chapter16. Dirichlet groups and lattice reduction -- Chapter 17. Periodicity of Klein polyhedra. Generalization of Lagrange theorem -- Chapter 18. Multidimensional Gauss-Kuzmin statistics -- Chapter 19. On construction of multidimensional continued fractions -- Chapter 20. Gauss Reduction in higher dimensions -- Chapter 21. Decomposable forms. Relation to Littlewood and Oppenheim conjectures -- Chapter 22. Approximation of maximal commutative subgroups -- Chapter 23. Other generalizations of continued fractions -- Bibliography . |
| Record Nr. | UNINA-9910438036903321 |
|
Karpenkov Oleg
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||