Geometry of continued fractions
Karpenkov, Oleg.

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  • Geometry of continued fractions
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Geometry of continued fractions/ by Oleg N. Karpenkov.
    作者: Karpenkov, Oleg.
    出版者: Berlin, Heidelberg :Springer Berlin Heidelberg : : 2022.,
    面頁冊數: xx, 451 p. :ill., digital ;24 cm.
    內容註: 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.
    Contained By: Springer Nature eBook
    標題: Continued fractions. -
    電子資源: https://doi.org/10.1007/978-3-662-65277-0
    ISBN: 9783662652770
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W9442608 電子資源 11.線上閱覽_V 電子書 EB QA295 .K37 2022 一般使用(Normal) 在架 0
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