History of Continued Fractions and Padé Approximants

Meer over het boek

The book delves into the extensive history of continued fractions, tracing their origins back to Euclid's algorithm. It highlights their long-standing use prior to formal recognition and emphasizes their significance in various mathematical developments, including the proof of the transcendence of e in 1882. Continued fractions and Pade approximants are shown to be pivotal in modern spectral theory and have applications across pure and applied mathematics, numerical analysis, number theory, computer science, and more.