Algebra: A Computational Approach

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $22.24
Usually ships in 1-2 business days
(Save 80%)
Other sellers (Hardcover)
  • All (4) from $22.24   
  • New (2) from $53.32   
  • Used (2) from $22.24   
Close
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any BN.com coupons and promotions
$53.32
Seller since 2008

Feedback rating:

(100)

Condition:

New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

New
2000 Hardcover New Ships Fast! Satisfaction Guaranteed!

Ships from: Skokie, IL

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
$114.34
Seller since 2007

Feedback rating:

(23490)

Condition: New
BRAND NEW

Ships from: Avenel, NJ

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Close
Sort by

Overview

Adequate texts that introduce the concepts of abstract algebra are plentiful. None, however, are more suited to those needing a mathematical background for careers in engineering, computer science, the physical sciences, industry, or finance than Algebra: A Computational Introduction. Along with a unique approach and presentation, the author demonstrates how software can be used as a problem-solving tool for algebra.

A variety of factors set this text apart. Its clear exposition, with each chapter building upon the previous ones, provides greater clarity for the reader. The author first introduces permutation groups, then linear groups, before finally tackling abstract groups. He carefully motivates Galois theory by introducing Galois groups as symmetry groups. He includes many computations, both as examples and as exercises. All of this works to better prepare readers for understanding the more abstract concepts.

By carefully integrating the use of Mathematica® throughout the book in examples and exercises, the author helps readers develop a deeper understanding and appreciation of the material. The numerous exercises and examples along with downloads available from the Internet help establish a valuable working knowledge of Mathematica and provide a good reference for complex problems encountered in the field.

Read More Show Less

Editorial Reviews

Booknews
Introduces algebra for students in engineering, computer science, physical sciences, industry, and finance, and demonstrates how software can be used as a problem-solving tool for algebra. First introduces permutation groups and linear groups before tackling abstract groups, then goes on to cover Galois theory and Galois groups as symmetry groups. is integrated throughout in examples and exercises. notebooks and their equivalent Maple worksheets are available for downloading. The author teaches mathematics at the University of Toronto, Canada. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

  • ISBN-13: 9781584880646
  • Publisher: Taylor & Francis
  • Publication date: 6/28/2000
  • Series: Studies in Advanced Mathematics Series , #32
  • Edition description: New Edition
  • Pages: 336
  • Product dimensions: 6.40 (w) x 9.30 (h) x 1.00 (d)

Table of Contents

CONGRUENCES
Basic Properties
Divisibility Tests
Common Divisors
Solving Congruences
The Integers Modulo n
Introduction to Software
PERMUTATIONS
Permutations as Mappings
Cycles
Sign of a Permutation
PERMUTATION GROUPS
Definition
Cyclic Groups
Generators
Software and Calculations
LINEAR GROUPS
Definitions and Examples
Generators
Software and Calculations
GROUPS
Basic Properties and More Examples
Homomorphisms
SUBGROUPS
Definition
Orthogonal Groups
Cyclic Subgroups and Generators
Kernel and Image of a Homomorphism
SYMMETRY GROUPS
Symmetries of Regular Polygons
Symmetries of Platonic Solids
Improper Symmetries
Symmetries of Equations
GROUP ACTIONS
Examples
Orbits and Stabilizers
Fractional Linear Transformations
Cayley's Theorem
Software and Calculations
COUNTING FORMULAS
The Class Equation
A First Application
Burnside's Counting Lemma
Finite Subgroups of SO(3)
COSETS
Lagrange's Theorem
Normal Subgroups
Quotient Groups
The Canonical Isomorphism
Software and Calculations
SYLOW SUBGROUPS
The Sylow Theorems
Groups of Small Order
A List
A Calculation
SIMPLE GROUPS
Composition Series
Simplicity of An
Simplicity of PSL(2,Fp)
ABELIAN GROUPS
Free Abelian Groups
Row and Column Reduction of Integer Matrices
Classification Theorems
Invariance of Elementary Divisors
The Multiplicative Group of the Integers Mod n
POLYNOMIAL RINGS
Basic Properties of Polynomials
Unique Factorization into Irreducibles
Finding Irreducible Polynomials
Commutative Rings
Congruences
Factoring Polynomials over a Finite Field
Calculations
SYMMETRIC POLYNOMIALS
Polynomials in Several Variables
Symmetric Polynomials and Functions
Sums of Powers
Discriminants
Software
ROOTS OF EQUATIONS
Introduction
Extension Fields
Degree of an Extension
Splitting Fields
Cubics
Cyclotomic Polynomials
Finite Fields
Plots and Calculations
GALOIS GROUPS
Introduction
Definition
How Large is the Galois Group?
The Galois Correspondence
Discriminants
QUARTICS
Galois Groups of Quartics
The Geometry of the Cubic Resolvent
Software
THE GENERAL EQUATION OF THE nth DEGREE
Examples
Symmetric Functions
The Fundamental Theorem of Algebra
SOLUTION BY RADICALS
Formulas for a Cubic
Cyclic Extensions
Solution by Radicals in Higher Degrees
Calculations
RULER-AND-COMPASS CONSTRUCTIONS
Introduction
Algebraic Interpretation
Construction of Regular Polygons
Periods
APPENDIX: MATHEMATICA COMMANDS

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)