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Perpetual Enigma

Notes from the Frontiers of Mathematics

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Tag: Fields

Understanding Catalan’s Conjecture

October 9, 2017February 22, 2022 ~ Prateek Joshi ~ 4 Comments

Numbers are deceptively simple. We use them everyday in a variety of contexts. It's beautiful how there are so many mysteries hidden inside these numbers. Catalan's Conjecture is a mathematical problem that's really easy to understand, but extremely difficult to prove. In fact, it took around 158 years to come up with a mathematical proof. … Continue reading Understanding Catalan’s Conjecture

What Is A Galois Field?

August 21, 2013October 25, 2013 ~ Prateek Joshi ~ Leave a comment

A Galois Field is actually a corn field owned by any person named Galois! Too obvious? Alright, that was a joke. Anyway, the word 'field' is being used in the mathematical context here. Évariste Galois was a mathematical prodigy who laid strong foundations for abstract algebra. His collected works contain important ideas that have had far-reaching … Continue reading What Is A Galois Field?

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