I discuss H.M. Edwards' Galois Theory, a fantastic book that I recommend for anyone who wants to get started in the subject of abstract algebra and Galois theory, the algebraic theory of solving polynomial equations. I give a guide to the contents of the book, and explain what makes this book so radically different from and superior to the most common approach to the subject.
Links to books mentioned:
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H.M. Edwards, Galois Theory [ Ссылка ]
H.M. Edwards, Fermat's Last Theorem: A Genetic Approach to Algebraic Number Theory [ Ссылка ]
B.L. van der Waerden, A History of Algebra: From al-Khwarizmi to Emmy Noether [ Ссылка ]
Very nice article Words and Pictures: New Light on Plimpton 322, by Eleanor Robson: [ Ссылка ]
In the text, Edwards quotes the Babylonian method for solving quadratic equations, but says it remains to be discovered how the Babylonians figured this solution out. This article describes the Babylonian method of geometrically completing the square to solve quadratic equations.
Check out my other math book review videos and math lecture videos: [ Ссылка ]
And check out my podcast, where I discuss mathematical topics with guests: [ Ссылка ]
