Skip to main content

Fibonacci Numbers and Continued Fractions

  • Chapter
Fibonacci Numbers
  • 703 Accesses

Abstract

In this chapter we will be mostly concerned with expressions of the form

$$ {q_0} + {\frac{1}{{{q_1} + \frac{1}{{{q_2} + }}}}_{ \ddots + \frac{1}{{qn}}}} $$
(3.1)

where q 1, q 2,…,q n are positive integers, and q 0 is a nonnegative integer. Thus, in contrast to q 1, q 2,…,q n , the number q 0 may be equal to zero. In what follows we will always assume that q 0 has this somewhat special status, without mentioning it on each occasion.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Basel AG

About this chapter

Cite this chapter

Vorobiew, N.N. (2002). Fibonacci Numbers and Continued Fractions. In: Fibonacci Numbers. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8107-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8107-4_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-6135-8

  • Online ISBN: 978-3-0348-8107-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics