Fermat's Last Theorem

The purpose of this blog is to present the story behind Fermat's Last Theorem and Wiles' proof in a way accessible to the mathematical amateur.

Saturday, October 25, 2008

Ruffini's Proof: Field Extensions

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In today's blog, I will present Paolo Ruffini's proof that if n ≥ 5 and F is a splitting field, then F/k is not a radical tower....

Pierre Laurent Wantzel

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Pierre Larent Wantzel was born on June 5, 1814 in Paris, France. His father was a professor of applied mathematics at the Ecole speciale du...
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Wednesday, October 22, 2008

Abel's Proof: Field Extensions: Step 1: Proof

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The content in today's blog is taken from the essay by Michael I. Rosen entitled "Niels Hendrik Abel and Equations of the Fifth Deg...
Monday, October 20, 2008

Abel's Proof: Field Extensions: Step 1: Lemmas

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The content in today's blog is taken from the essay by Michael I. Rosen entitled "Niels Hendrik Abel and Equations of the Fifth Deg...
Sunday, October 19, 2008

Abel-Ruffini Proof: Field Extensions

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When Niels Abel prepared his impossibility proof , he used the vocabulary of the mathematics of his time. As a result of his work and the ...
Saturday, October 04, 2008

Abel's Proof: Aftermath

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Niels Abel submitted his impossibility proof for the quintic equation in 1824. Because of lack of funds, he was forced to condense his pr...
Thursday, October 02, 2008

Sir William Rowan Hamilton

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William Rowan Hamilton was born on August 4, 1805 in Dublin, Ireland. He was the fourth of nine children. Young William showed tremendous ...
Wednesday, October 01, 2008

Abel's Impossibility Proof

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Today's proof is taken from Peter Pesic's translation of Niels Abel's original 1824 proof. A special thanks to Peter for helpi...
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