Galois Theory - Emil Artin - Bog

Galois Theory: Lectures Delivered At The University Of Notre Dame is a comprehensive book on the mathematical theory of Galois. Written by Emil Artin, a renowned mathematician, this book contains lectures delivered at the University of Notre Dame that cover the fundamental concepts and principles of Galois theory. The book is divided into six chapters, each of which covers a specific topic in Galois theory. The first chapter introduces the basic concepts of field theory, including algebraic and transcendental extensions. The second chapter covers the fundamental theorem of Galois theory, which is a central result in the theory. The third chapter discusses the solvability of equations by radicals, which is a key application of Galois theory. The fourth chapter covers finite fields, which are important in coding theory and cryptography. The fifth chapter discusses the Galois group of a polynomial, which is a powerful tool for studying the structure of polynomials. Finally, the sixth chapter covers the inverse Galois problem, which is a challenging open problem in mathematics. Overall, Galois Theory: Lectures Delivered At The University Of Notre Dame is an excellent resource for anyone interested in Galois theory, including students, researchers, and mathematicians.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.