Skip to main content

What is π?

  • Chapter
Numbers

Part of the book series: Graduate Texts in Mathematics ((READMATH,volume 123))

  • 2948 Accesses

Abstract

There are many possible ways of introducing the number π, associated with the circle. We shall obtain π from the complex exponential function

$$ \exp \,z = 1 + \frac{z} {{2!}} + \cdots . $$

.

And he made a molten sea, ten cubits from the one brim to the otherj it was round all about, and his height was five cubits, and a line of thirty cubits did compass it round about. (I Kings, Chapter 7, verse 23).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
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.

Further Reading

  1. Beckmann, Peter, A History of Pi. Boulder, Col.: Golem, 1970.

    Google Scholar 

  2. Borwein, J. and Peter Borwein, Pi and the AGM, New York: John Wiley, 1987.

    Google Scholar 

  3. Davis, P.J., The Long, Long Trail of Pi. In The Lore of Large Numbers, Chapter 17. New York: Random House, 1961.

    Google Scholar 

  4. Dieudonné, J., Abrégé d’histoire des mathématiques I, Paris: Hermann, 1978 (especially pp. 283 ff).

    Google Scholar 

  5. Schneider, Th., Einführung in die transzendenten Zahlen, Grundl. Math. Wiss., Springer-Verlag, 1957.

    Google Scholar 

  6. Siegel, C.L., Transzendente Zahlen, BI Hochschultaschenbuch 137, Mannheim, 1967.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Remmert, R. (1991). What is π?. In: Numbers. Graduate Texts in Mathematics, vol 123. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1005-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1005-4_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97497-2

  • Online ISBN: 978-1-4612-1005-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics