Neverending Fractions: An Introduction to Continued Fractions

摘要: Despite their classical nature, continued fractions are a neverending research area, with body of results accessible enough to suit wide audience, from researchers students and even amateur enthusiasts. Neverending Fractions brings these together, offering fresh perspectives on mature subject. Beginning standard introduction fractions, the book covers diverse range topics, elementary metric properties, quadratic irrationals, more exotic topics such as folded Somos sequences. Along way, authors reveal some amazing applications theory seemingly unrelated problems in number theory. Previously scattered throughout literature, brought together this volume for first time. A variety exercises guide readers through material, which will be especially helpful using self-study, also provide many pointers literature.