Geometry of Continued Fractions

• Main Author: Karpenkov, Oleg (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Algorithms and Computation in Mathematics, 26
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Approximation theory.; Convex geometry.; Discrete geometry.; Number theory.; Order, Lattices, Ordered Algebraic Structures.; Approximations and Expansions.; Convex and Discrete Geometry.; Number Theory.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical th...