Neverending Fractions
An Introduction to Continued Fractions
Cambridge University Press
Book
Hardback
978-1-107-00665-2 (ISBN)
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Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 11 Halftones, unspecified
ISBN-13
978-1-107-00665-2 (9781107006652)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions

Jonathan Borwein | Alf van der Poorten | Jeffrey Shallit
Neverending Fractions
An Introduction to Continued Fractions
Book
07/2014
Cambridge University Press
€63.80
Shipment within 15-20 days
Additional editions

Jonathan Borwein | Alf van der Poorten | Jeffrey Shallit
Neverending Fractions
An Introduction to Continued Fractions
E-Book
07/2014
1st Edition
Cambridge University Press
€35.49
Available for download

Jonathan Borwein | Alf van der Poorten | Jeffrey Shallit
Neverending Fractions
An Introduction to Continued Fractions
Book
07/2014
Cambridge University Press
€63.80
Shipment within 15-20 days
Persons
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.
Author
ProfessorUniversity of Newcastle, New South Wales
Macquarie University, Sydney
University of Waterloo, Ontario
University of Newcastle, New South Wales
Content
Preface; 1. Some preliminaries from number theory; 2. Continued fractions, as they are; 3. Metric theory of continued fractions; 4. Quadratic irrationals through a magnifier; 5. Hyperelliptic curves and Somos sequences; 6. From folding to Fibonacci; 7. The integer part of q? + ?; 8. The Erdos-Moser equation; 9. Irregular continued fractions; Appendix. Selected continued fractions; Bibliography; Index.