Conjugation and Symmetry as a Means Towards Transcendence: The Lindemann-Weierstrass Theorem and the transcendence of\( {e^{\sqrt 2 }} \)
  • Edward B. Burger
  • Robert Tubbs


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.


Rational Number Rational Coefficient Algebraic Number Symmetric Polynomial Nonzero Integer 
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Copyright information

© E.B. Burger and R. Tubbs 2004

Authors and Affiliations

  • Edward B. Burger
    • 1
  • Robert Tubbs
    • 2
  1. 1.Department of MathematicsWilliams CollegeWilliamstownUSA
  2. 2.Department of MathematicsUniversity of Colorado at BoulderBoulderUSA

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