Geometry of Continued Fractions

Geometry of Continued Fractions, 2nd Edition, is a mathematics book that presents a geometric perspective on continued fractions. Written by Oleg N. Karpenkov and published in Springer's Algorithms and Computation in Mathematics series, the volume explores continued fractions and their extensions to multidimensional settings.

The text addresses applications to questions in Diophantine approximation, algebraic number theory, and toric geometry. In addition, it provides an overview of progress and open questions concerning the geometric theory of multidimensional continued fractions.

Figures and examples illustrate geometric constructions where possible. Each chapter also concludes with exercises intended for use in undergraduate or graduate courses.