Abstract Algebra A Concrete Introduction

ISBN-10: 020143721X
ISBN-13: 9780201437218
Edition: 2001
List price: $117.80 Buy it from $16.47
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence  More...

Used Starting from $71.74
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $117.80
Copyright year: 2001
Publisher: Addison Wesley
Publication date: 10/18/2000
Binding: Hardcover
Pages: 512
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.980
Language: English

This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence their course with group theory will find that the Table of Contents is highly flexible, and contains a generous amount of group coverage.

Introduction
Historical Note: Al-Khwarizmi
Preliminaries
Properties of the Integers
Historical Note: Augustus de Morgan
Solving Cubic and Quartic Polynomial Equations
Historical Note: How the Cubic and Quartic Equations Were Solved
Complex Numbers
Historical Note: Highlights in the Development of the Complex Numbers
Some Other Examples
Historical Note: William Rowan Hamilton
Algebraic Extension Fields
Fields
Solvability by Radicals
Historical Note: Niels Henrik Abel
Rings
Ways in Which Polynomials Are Like the Integers
Historical Note: Julia Robinson
Principal Ideals
Historical Note: Emmy Noether
Algebraic Elements
Eisenstein's Irreducibility Criterion
Historical Note: Gotthold Eisenstein
Extension Fields as Vector Spaces
Automorphisms to Fields
Historical Note: Evariste Galois
Counting Automorphisms
Historical Note: Richard Dedekind
Elementary Group Theory
Groups
Historical Note: Walther von Dyck
Permutation Groups
Group Homomorphisms
Historical Note: Arthur Cayley
Subgroups
Subgroups Generated by Subsets
Cosets
Finite Groups and Lagrange's Theorem
Historical Note: Joseph Louis Lagrange
Equivalence Relations and Cauchy's Theorem
Historical Note: Augustin-Louis Cauchy
Normal Subgroups and Quotient Groups
Historical Note: Otto Holder
The Homomorphism Theorem for Groups
Historical Note: B. L. van der Waerden
Polynomial Equations Not Solvable by Radicals
Galois Groups of Radical Extensions
Solvable Groups and Commutator Subgroups
Historical Note: William Burnside
Solvable Galois Groups
Polynomial Equations Not Solvable by Radicals
Historical Note: Paolo Ruffini
Finite Groups
Finite External Direct Products of Groups
Historical Note: J. H. M. Wedderburn
Finite Internal Direct Products of Groups
Abelian Groups with Prime Power Order
The Fundamental Theorem of Finite Abelian Groups
Historical Note: Leopold Kronecker
Dihedral Groups
Historical Note: Felix Klein
Cauchy's Theorem
The Sylow Theorems
Historical Note: Peter Ludvig Sylow
Groups of Order Less Than 16
Groups of Even Permutations
Historical Note: Camille Jordan
Semidirect Products
The Greek Alphabet
Proving Theorems
Historical Note: George Boole
Vector Spaces Over Fields
Constructions with Straightedge and Compass
Answers to Odd-Numbered Computational Exercises
Bibliography
Photo Credits
Notation Index
Subject Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×