Name: Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (en Inglés)
Price: 316808.00 COP
Availability: InStock
Author: Fine, Benjamin ; Gaglione, Anthony M. ; Rosenberger, Gerhard
ISBN: 9781421411767

portada Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (en Inglés)

Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (en Inglés)

Formato

Libro Físico

Autor

Benjamin Fine

Gerhard Rosenberger

Anthony M. Gaglione

Editorial

Johns Hopkins University Press

Idioma

Inglés

N° páginas

584

Encuadernación

Tapa Dura

Dimensiones

26.1 x 18.5 x 3.9 cm

Peso

1.35 kg.

ISBN13

9781421411767

Categorías

Álgebra

Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (en Inglés)

Benjamin Fine (Autor) · Gerhard Rosenberger (Autor) · Anthony M. Gaglione (Autor) · Johns Hopkins University Press · Tapa Dura

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Reseña del libro "Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (en Inglés)"

A new approach to abstract algebra that eases student anxieties by building on fundamentals.Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and 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