Introduction to Abstract Algebra - From Rings, Numbers, Groups, Fields to Polynomials Galois Theory

This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: Rings; Integral domains; The fundamental theorem of arithmetic; Fields; Groups; Lagrange's theorem; Isomorphism theorems for groups; Fundamental theorem of finite abelian groups; The simplicity of An for n5; Sylow theorems; The Jordan-Hölder theorem; Ring isomorphism theorems; Euclidean domains; Principal ideal domains; The fundamental theorem of algebra; Vector spaces; Algebras; Field extensions: algebraic and transcendental; The fundamental theorem of Galois theory; The insolvability of the quintic

About the author

Benjamin Fine is a professor of mathematics at Fairfield University.Anthony M. Gaglione is a professor of mathematics at the United States Naval Academy.Gerhard Rosenberger is a professor of mathematics at the University of Hamburg.

Product details

• Authors: Benjamin Fine, Benjamin (Professor of Mathematics Fine, Benjamin Gaglione Fine, Anthony M Gaglione, Anthony M. Gaglione, Anthony M. (Professor of Mathematics Gaglione, Gerhard Rosenberger, Gerhard (Professor of Mathematics Rosenberger
• Publisher: Johns Hopkins University Press
• Languages: English
• Product format: Hardback
• Released: 26.08.2014
• EAN: 9781421411767
• ISBN: 978-1-4214-1176-7
• No. of pages: 584
• Subjects: Fiction > Gift books, albums, perpetual calendars, postcard booklets; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra