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Neverending fractions[electronic res...

Borwein, Jonathan M.

Neverending fractions[electronic resource] :an introduction to continued fractions /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	513.26
書名/作者:	Neverending fractions : an introduction to continued fractions // Jonathan Borwein ... [et al.].
其他作者:	Borwein, Jonathan M.
出版者:	Cambridge : : Cambridge University Press,, 2014.
面頁冊數:	x, 212 p. : : ill., digital ;; 24 cm.
標題:	Continued fractions.
標題:	Processes, Infinite.
標題:	Fractions.
ISBN:	9780511902659
ISBN:	9781107006652
ISBN:	9780521186490
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/CBO9780511902659

Neverending fractions[electronic resource] :an introduction to continued fractions /
Neverending fractionsan introduction to continued fractions /[electronic resource] :Jonathan Borwein ... [et al.]. - Cambridge :Cambridge University Press,2014. - x, 212 p. :ill., digital ;24 cm. - Australian Mathematical Society lecture series ;23. - Australian Mathematical Society lecture series ;17..

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.

ISBN: 9780511902659Subjects--Topical Terms:

492833
Continued fractions.

LC Class. No.: QA295

Dewey Class. No.: 513.26

Neverending fractions[electronic resource] :an introduction to continued fractions /
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245 0 0 $a Neverending fractions $h [electronic resource] : $b an introduction to continued fractions / $c Jonathan Borwein ... [et al.].
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300 $a x, 212 p. : $b ill., digital ; $c 24 cm.
490 1 $a Australian Mathematical Society lecture series ; $v 23
520 $a 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.
650 0 $a Continued fractions. $3 492833
650 0 $a Processes, Infinite. $3 711337
650 0 $a Fractions. $3 711338
700 1 $a Borwein, Jonathan M. $3 488758
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856 4 0 $u https://doi.org/10.1017/CBO9780511902659

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