Neverending Fractions: An Introduction To Continued Fractions

Neverending Fractions: An Introduction To Continued Fractions (Australian Mathematical Society Lecture Series, Series Number 23)

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

Country	USA
Brand	Cambridge University Press
Manufacturer	Cambridge University Press
Binding	Paperback
ItemPartNumber	Worked examples or Exercises; 11 Halfton
ReleaseDate	2014-07-03
UnitCount	1
Format	Illustrated
UPCs	000521186498
EANs	9780521186490

Neverending Fractions: An Introduction To Continued Fractions (Australian Mathematical Society Lecture Series, Series Number 23)