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Linear Algebra

(3 reviews)

Jim Hefferon, Saint Michael's College

Pub Date: 2016

ISBN 13: 9781944325039

Publisher: Independent

Language: English

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CC BY-SA

Reviews

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Reviewed by Iuliana Oprea, Associate Professor, Colorado State University on 1/8/16

The book covers the standard material for an introductory course in linear algebra. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. The... read more

 

Reviewed by Abraham Smith, Assistant Professor, University of Wisconsin-Stout on 1/8/16

This is a complete textbook for Linear Algebra I. It proceeds through the expected material on vector and matrix arithmetic on examples, then it makes a nice transition to abstract vector spaces and linear operators. The major theorems in linear... read more

 

Reviewed by Aaron Wangberg, Associate Professor, Winona State University on 6/11/15

This text provides a fairly thorough treatment of topics for an introductory linear algebra course. It builds up the theory of linear algebra in order to answer important questions about they solutions and the types of solutions associated with... read more

 

Table of Contents

  • Chapter 1: Solving Linear Systems
  • Chapter 2: Vector Spaces
  • Chapter 3: Maps Between Spaces
  • Chapter 4:Determinants
  • Chapter 5: Similarity

About the Book

This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges.

About the Contributors

Author

Jim Hefferon, Professor of Mathematics at St. Michael's College in Colchester, Vermont. B.S., M.S., Ph.D. University of Connecticut.