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Episode 39 - Diophantus of Alexandria - A whole lot of fun

Author
Ben Cornish
Published
Wed 17 Sep 2025
Episode Link
https://mathematicians.podbean.com/e/episode-39-diophantus-of-alexandria-a-whole-lot-of-fun/

This week, we're taking another trip to ancient Alexandria to meet Diophantus, often hailed as the "Father of Algebra." 


Join us as we untangle the fuzzy biography of a mathematician whose life story is a riddle, and whose monumental work, the Arithmetica, started us working  towards systematic equation-solving. From the proto-symbols of syncopated algebra to the birth of Diophantine equations (where only whole numbers dare to tread!), we explore how this ancient Greek genius sought to generalize mathematical problems, shifting math from "apples" to "variables."


 


Keywords: Diophantus, Algebra, Arithmetica, Diophantine Equations, Ancient Greece, Alexandria, History of Mathematics, Number Theory, Equation Solving, Rational Numbers, Integers, Fermat's Last Theorem, Hilbert's 10th Problem, Undecidability, Al-Khwarizmi, Brahmagupta, Cryptography, Computer Science, Podcast.


Hashtags: #MathematiciansPodcast #Diophantus #AlgebraHistory #AncientMaths #NumberTheory #DiophantineEquations #MathsPodcast #STEM #HistoryOfScience #Fermat #HilbertProblems #ProblemSolving #MathsFacts #Alexandria #EquationSolver #MathematicalJourney #ListenAndLearn


 


The music was-

"Danse Macabre - Finale"

Kevin MacLeod (incompetech.com)

Licensed under Creative Commons: By Attribution 3.0

http://creativecommons.org/licenses/by/3.0/


 

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