This is an introduction to Galois Theory along the lines of Galois s Memoir on the Conditions for Solvability of Equations by Radicals. It puts Galois s ideas into historical perspective by tracing their antecedents in the works of Gauss, Lagrange, Newton, and even the ancient Babylonians. It also e[...]
Superb, high-level study of one of the most influential classics in mathematics examines landmark 1859 publication entitled âOn the Number of Primes Less Than a Given Magnitude,â and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theor[...]