Foundations of Linear Algebra / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $81.30
Usually ships in 1-2 business days
(Save 37%)
Other sellers (Hardcover)
  • All (5) from $81.30   
  • New (3) from $96.34   
  • Used (2) from $81.30   


This volume presents a course in linear algebra for undergraduate mathematics students. It is considerably wider in its scope than most of the available methods and prepares the students for advanced work in algebra, differential equations, and functional analysis. Therefore, for example, it is transformation-oriented rather than matrix oriented, and whenever possible results are proved for arbitrary vector spaces and not merely for finite-dimensional vector spaces. Also, by proving results for vector spaces over arbitrary fields, rather than only the field of real or complex numbers, it prepares the way for the study of algebraic coding theory, automata theory, and other subjects in theoretical computer science.
Topics are dealt with thoroughly, including ones that normally do not feature in undergraduate textbooks, and many novel and challenging exercises are given. The fact that most students are computer-literate is taken into account, not so much by emphasizing computational aspects of linear algebra which are best left to the computer, but by concentrating on the theory behind it.
Audience: Recommended for a one-year undergraduate course in linear algebra.

Read More Show Less

Editorial Reviews

A text for a one-year undergraduate course for mathematics students who have already studied set theory, mathematical induction, basic analytic geometry, and elementary calculus. Specifically designed to prepare students for advanced work in algebra, differential equations, and functional analysis, by using a transformation rather than matrix perspective and considering arbitrary vector spaces rather than merely finite- dimensional ones. Translated from Yesodot HaAlgebra HaLinearit, published by Dekel, Tel Aviv, in 1992. No bibliography. Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

Table of Contents

Preface. Basic notation and terminology. I. Fields and integral domains. II. Vector spaces. III. Linear independence and dimension. IV. Linear transformations. V. Endomorphism rings of vector spaces. VI. Representation of linear transformations by matrices. VII. Rings of square matrices. VIII. Systems of linear equations. IX. Determinants. X. Eigenvectors and eigenvalues. XI. The Jordan canonical form. XII. The dual space. XIII. Inner product spaces. XIV. Endomorphisms of inner product spaces. XV. The Moore-Penrose pseudoinverse. XVI. Bilinear transformations and forms. XVII. Algebras over a field. Index.

Read More Show Less

Customer Reviews

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

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & 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 & 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 & 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 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


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & 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 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)