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Neverending Fractions: An Introduction to Continued Fractions by Jonathan Borwein, Alf Van Der Poorten, Wadim Zudilin

Neverending Fractions: An Introduction to Continued Fractions

by Jonathan Borwein , Alf Van Der Poorten , Wadim Zudilin
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Book cover type: Paperback
  • ISBN13: 9780521186490
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 224
  • Original Price: GBP 40.0
  • Language: English
  • Edition: N/A
  • Item Weight: 336 grams
  • BISAC Subject(s): Number Theory

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.

Borwein, Jonathan: - 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.

Van Der Poorten, Alf: - Alf van der Poorten was Emeritus Professor of Mathematics at Macquarie University, Sydney, until his death in 2010.

Zudilin, Wadim: - Wadim Zudilin is a Professor in the School of Mathematical and Physical Sciences at the University of Newcastle, New South Wales.

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