Neverending Fractions: An Introduction to Continued Fractions

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Jonathan Borwein (Professor, University of Newcastle, New South Wales) Alf van der Poorten (Macquarie University, Sydney)

Neverending Fractions

An Introduction to Continued Fractions

Jonathan Borwein (Professor, University of Newcastle, New South Wales), Alf van der Poorten (Macquarie University, Sydney), Jeffrey Shallit (University of Waterloo, Ontario) , Wadim Zudilin (University of Newcastle, New South Wales)

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English

Cambridge University Press
03 July 2014

Mathematics & Sciences; Number theory

Series: Australian Mathematical Society Lecture Series

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.

By: Jonathan Borwein (Professor University of Newcastle New South Wales), Alf van der Poorten (Macquarie University, Sydney), Jeffrey Shallit (University of Waterloo, Ontario), Wadim Zudilin (University of Newcastle, New South Wales)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 23
Dimensions: Height: 230mm, Width: 154mm, Spine: 14mm
Weight: 350g
ISBN: 9780521186490
ISBN 10: 0521186498
Series: Australian Mathematical Society Lecture Series
Pages: 224
Publication Date: 03 July 2014
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Jonathan Borwein, FRSC, FAAAS, FAA is Laureate Professor in the School of Mathematical and Physical Sciences and Director of the Priority Research Centre in Computer Assisted Research Mathematics and its Applications at the University of Newcastle, New South Wales. He is also Distinguished Professor at King Abdulaziz University in Jeddah. An ISI highly cited scientist and former Chauvenet prize winner, he has published widely in various fields of mathematics. Alf van der Poorten was Emeritus Professor of Mathematics at Macquarie University, Sydney, until his death in 2010. Jeffrey Shallit is Professor of Computer Science at the University of Waterloo, Ontario. Wadim Zudilin is a Professor in the School of Mathematical and Physical Sciences at the University of Newcastle, New South Wales.