Bøger af Emil Artin

Modern Higher Algebra: Galois Theory by Emil Artin is a comprehensive guide to the theory of Galois, a branch of abstract algebra that deals with the study of algebraic equations and their solutions. The book is intended for advanced undergraduate and graduate students in mathematics who have a solid foundation in algebra and are interested in the theory of Galois. The book covers a wide range of topics, including the fundamental theorem of Galois theory, field extensions, algebraic numbers, solvability of equations by radicals, and the theory of finite fields. The author provides clear and concise explanations of the key concepts and techniques used in Galois theory, and includes numerous examples and exercises to help readers develop their understanding of the subject.One of the unique features of this book is the author's emphasis on the historical development of Galois theory, including the contributions of Galois himself and other important mathematicians such as Abel and Kronecker. The book also includes a discussion of the applications of Galois theory to other areas of mathematics, such as number theory and algebraic geometry.Overall, Modern Higher Algebra: Galois Theory is a valuable resource for students and researchers in mathematics who are interested in the theory of Galois and its applications. The book is well-written, accessible, and provides a thorough introduction to this important area of algebraic theory.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.

The author Emil Artin is known as one of the greatest mathematicians of the 20th century. He is regarded as a man who gave a modern outlook to Galois theory. Original lectures by the master. This emended edition is with completely new typesetting and corrections. The free PDF file available on the publisher's website www.bowwowpress.org

Dealing with algebraic ring theory, this book was written for mathematicians who are familiar with groups, rings, fields, and their properties. Concepts such as vector spaces, matrix representations, simple rings, and semisimple rings are considered.

Classic overview for advanced undergraduates and graduate students of mathematics explores affine and projective geometry, symplectic and orthogonal geometry, general linear group, and structure of symplectic and orthogonal groups. 1957 edition.

This brief monograph bridges a gap between sketchy and over-complicated treatments. Topics include functions, Euler integrals and Gauss formula, connection with sin x, applications to definite integrals, and other subjects. 1964 edition.