Neverending Fractions

An Introduction to Continued Fractions

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Neverending Fractions by Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin, Cambridge University Press
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Author: Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin ISBN: 9781139984447
Publisher: Cambridge University Press Publication: July 3, 2014
Imprint: Cambridge University Press Language: English
Author: Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin
ISBN: 9781139984447
Publisher: Cambridge University Press
Publication: July 3, 2014
Imprint: Cambridge University Press
Language: English

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.

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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.

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