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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
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| Berlin, Germany : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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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 | Springer Nature, 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 Fraccions contínues Geometria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 9783662652770 |
| 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 |
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Karpenkov Oleg
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| Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lecture Notes on Geometry of Numbers / / by R. J. Hans-Gill, Madhu Raka, Ranjeet Sehmi
| Lecture Notes on Geometry of Numbers / / by R. J. Hans-Gill, Madhu Raka, Ranjeet Sehmi |
| Autore | Hans-Gill R. J |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (212 pages) |
| Disciplina | 512.75 |
| Altri autori (Persone) |
RakaMadhu
SehmiRanjeet |
| Collana | University Texts in the Mathematical Sciences |
| Soggetto topico |
Number theory
Geometry, Algebraic Number Theory Algebraic Geometry Geometria de nombres Conjunts convexos |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 9789819996025 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Preliminaries -- 2. Minkowski's Fundamental Theorem and its Applications -- 3. Lattices -- 4. Minima of Positive De nite Quadratic Forms -- 5. Critical Determinant -- 6. Successive Minima -- 7. Packings Density -- 8. Coverings -- 9. Homogeneous Minimum -- 10. Inhomogeneous Problems. |
| Record Nr. | UNINA-9910874686703321 |
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Hans-Gill R. J
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
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Geometria de nombres
(3)
- Algebra (2)
- Fraccions contínues (2)
- Number Theory (2)
- Number theory (2)