This book contains the stories of five mathematical journeys into new realms, told through
the writings of the explorers themselves. Some were guided by mere curiosity and the thrill …

Explore the foundations and modern applications of Galois theory Galois theory is widely
regarded as one of the most elegant areas of mathematics. A Classical Introduction to Galois …

Una mancha de tinta en un trozo de papel no es algo especialmente atractivo para el ojo,
pero si doblamos el papel antes de que la tinta se seque, podemos obtener algo parecido a …

This paper is about Leopold Kronecker reading Niels Henrik Abel's results and ideas on the
resolution of algebraic equations. When the young Kronecker began to work on algebraic …

A formula is given for solving by radicals any polynomial of degree 5 which is solvable by
radicals. This formula is valid over any field of characteristic different from 2 and 5. The field …

An explicit formula for the most general root of a solvable polynomial of prime degree is
stated and proved. Such a root can be expressed rationally in terms of a single compound …

This dissertation was submitted to the Faculty of Science, University of Aarhus in March
2002 for the purpose of obtaining the scientific PhD degree. It was defended in a public PhD …

Il 29 maggio 1832, poche ore prima di essere ferito a morte in un duello, Évariste Galois,
focoso spirito rivoluzionario e grandissimo matematico francese, vergò alcune lettere che …

Abstract 200 years ago, on August 5, 1802, Niels Henrik Abel was born on Finnøy near
Stavanger on the Norwegian west coast. During a short life span, Abel contributed to a deep …

In 1862–1863 Ludvig Sylow (1832–1918) gave a course on Galois theory at the University
of Oslo. His notes for that course have now been published (in Norwegian). They give a …