Proof of the Lindemann-Weierstrass Theorem

smize · Apr 13, 2014

I am wanting to find a good proof of the Lindemann-Weierstrass Theorem.

Most importantly I need the part that states that e^α is transcendental where α ≠ 0 is algebraic.

What are good online resources or books for the proof?

Thank-you.

jbunniii · Apr 14, 2014

Ivan Niven has a nice little book called "Irrational Numbers" which contains a relatively elementary proof. There is also a proof in Jacobson's "Basic Algebra I," but it uses more algebraic machinery.

Proof of the Lindemann-Weierstrass Theorem

Discussion

Undergrad The vector to which a dual vector corresponds

Undergrad Spinor calculus

Undergrad Matrix representation of rank-2 spinors

Undergrad Looking for a paper about spinors

Undergrad Why are these cycles disjoint and of equal length?

On the Moore–Penrose inverse from a banal linear algebra viewpoint

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Proof of the Lindemann-Weierstrass Theorem

Discussion

Similar threads

Graduate Analytic proof of the Lindemann - Weierstrass Theorem

Graduate Question about Bolzano-Weierstrass Theorem Proof

Graduate Proof of Bolzano-Weierstrass theorem using Axiom of Completeness.