Neverending Fractions

An Introduction to Continued Fractions

Jonathan Borwein author Jeffrey Shallit author Wadim Zudilin author Alf van der Poorten author

Format:Paperback

Publisher:Cambridge University Press

Published:3rd Jul '14

Currently unavailable, and unfortunately no date known when it will be back

Neverending Fractions cover

This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.

This contemporary introduction to the fascinating theory of continued fractions covers a variety of applications that will interest graduates, postgraduates and researchers, as well as teachers and even amateur enthusiasts.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.

ISBN: 9780521186490

Dimensions: 230mm x 154mm x 14mm

Weight: 350g

224 pages