Atlantis Studies in Mathematics for Engineering and Science

CONTINUED FRACTIONS

Authors: Waadeland, Haakon, Lorentzen, Lisa

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eBook $109.00
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  • ISBN 978-94-91216-37-4
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About this book

Continued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given. This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.

Table of contents (5 chapters)

  • Introductory examples

    Lorentzen, Lisa (et al.)

    Pages 1-52

  • Basics

    Lorentzen, Lisa (et al.)

    Pages 53-98

  • Convergence criteria

    Lorentzen, Lisa (et al.)

    Pages 99-170

  • Periodic and limit periodic continued fractions

    Lorentzen, Lisa (et al.)

    Pages 171-216

  • Numerical computation of continued fractions

    Lorentzen, Lisa (et al.)

    Pages 217-264

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-94-91216-37-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
CONTINUED FRACTIONS
Authors
Series Title
Atlantis Studies in Mathematics for Engineering and Science
Series Volume
1
Copyright
2008
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the authors
eBook ISBN
978-94-91216-37-4
DOI
10.2991/978-94-91216-37-4
Series ISSN
1875-7642
Edition Number
1
Number of Pages
VII, 308
Topics