Skip to main content

4.1132503787829275171735818151…

Conjugation and Symmetry as a Means Towards Transcendence: The Lindemann-Weierstrass Theorem and the transcendence of\( {e^{\sqrt 2 }} \)

  • Chapter
Making Transcendence Transparent
  • 450 Accesses

Abstract

In this chapter we consider numbers of the form ea, where e α is α nonzero algebraic number. As we indicated to at the close of the previous chapter, here we will prove the following result due to Charles Hermite and Ferdinand Lindemann.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 E.B. Burger and R. Tubbs

About this chapter

Cite this chapter

Burger, E.B., Tubbs, R. (2004). 4.1132503787829275171735818151…. In: Making Transcendence Transparent. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4114-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4114-8_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1948-9

  • Online ISBN: 978-1-4757-4114-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics