Continued Fractions, Convergence Theory. Vol. 1, 2nd Editions. Loretzen, Waadeland. Atlantis Press. 2008

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Continued Fractions Second edition Volume 1: Convergence Theory Lisa Lorentzen Haakon Waadeland Department of Mathematics Norwegian University of Science and Technology Trondheim Norway AMSTERDAM – PARIS
Atlantis Press 29 avenue Laumière 75019 Paris, France For information on all Atlantis Press publications, visit our website at: www.atlantis-press.com. Copyright This book, or any parts thereof, may not be reproduced for commercial purposes in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system known or to be invented, without prior permission from the Publisher. ISBN: 978-90-78677-07-9 ISSN: 1875-7642 e-ISBN: 978-94-91216-37-4 © 2008 ATLANTIS PRESS / WORLD SCIENTIFIC
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Page 8: Preface vii For whom? We are aiming
Page 11 and 12: x Contents 2.1.6 Value sets . . . .
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42 Chapter 1: Introductory examples
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54 Chapter 2: Basics 2.1 Convergenc
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56 Chapter 2: Basics Example 1. We
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58 Chapter 2: Basics Proof of the e
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60 Chapter 2: Basics ✤ ✜ Defini
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62 Chapter 2: Basics ✗ ✔ Defini
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64 Chapter 2: Basics Proof : □
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66 Chapter 2: Basics that is, t n =
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72 Chapter 2: Basics and the result
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74 Chapter 2: Basics of value sets
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76 Chapter 2: Basics More important
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78 Chapter 2: Basics Proof : Let A
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80 Chapter 2: Basics An equivalence
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88 Chapter 2: Basics show that {A 2
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92 Chapter 2: Basics 4. Periodic ta
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98 Chapter 2: Basics Prove that b 0
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100 Chapter 3: Convergence criteria
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218 Chapter 5: Computation of conti
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266 Appendix A: Some continued frac
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296 Bibliography [Bear04] A. F. Bea
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298 Bibliography [Glai74] J. W. L.
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300 Bibliography [JoTW82] W. B. Jon
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302 Bibliography [Mind69] F. Mindin
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304 Bibliography [ThWa80b] W. J. Th
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Index (a) n Pochhammer symbol, 27 A
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308 Index moment problem, 40, 41 od
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Continued Fractions, Convergence Theory. Vol. 1, 2nd Editions. Loretzen, Waadeland. Atlantis Press. 2008

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