This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability …
From an elementary discussion of groups, fields and vector spaces, this introduction to Galois theory progresses to rings, extension fields, ruler-and-compass constructions, automorphisms and Galois correspondence. Publisher's note.
"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and …
This book is an attempt to present the Galois theory as a showpiece of mathematical unification, bringing together several different branches of the subject and creating a powerful machine for the study of problems of considerable historical and mathematical importance.
Foundations of Galois Theory is an introduction to group theory, field theory, and the basic concepts of abstract algebra.
Algebra with Galois theory
by Artin, Emil, Blank, Albert A.
fromCourant lecture notes in mathematics
