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

Borwein, Jonathan

Softcover

ISBN 10: 0521186498 ISBN 13: 9780521186490

Publisher: Cambridge University Press, 2014

Synopsis

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.

About this title

Product Description:

Neverending Fractions

Book Description:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2014
• ISBN 10: 0521186498
• ISBN 13: 9780521186490
• Binding: Paperback
• Number of pages: 222