Introductory courses in Linear Algebra can be taught in a variety of ways and the order of topics offered may vary based on the needs of the students. Linear Algebra with Applications, Alternate Eighth Edition provides instructors with an additional presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinants. The more abstract material on vector spaces starts later, in Chapter 4, with the introduction of the vector space Rn. This leads directly into general vector spaces and linear transformations. This alternate edition is especially appropriate for students preparing to apply linear equations and matrices in their own fields.
Clear, concise, and comprehensive--the Alternate Eighth Edition continues to educate and enlighten students, leading to a mastery of the mathematics and an understanding of how to apply it.
Features & Benefits
New and Key Features of the Alternate Eighth Edition:
Updated and revised throughout with new section material and exercises included in every chapter.
Provides students with a flexible blend of theory, important numerical techniques and interesting relevant applications.
Includes discussions of the role of linear algebra in many areas such as the operation of the Google search engine and the global structure of the worldwide air transportation network.
A MATLAB manual that ties into the regular course material is included as an appendix. These ideas can be implemented on any matrix algebra software package. A graphing calculator manual is also included.
A Student Solutions Manual that contain solutions to selected exercises is available as a supplement, An Instructor Complete Solutions Manual containing worked solutions to all exercises is also available.
The ideal text for introductory linear algebra courses at the undergraduate level.
Chapter 1 Linear Equations
Chapter 2 Matrices
Chapter 3 Determinants
Chapter 4 Vector Spaces
Chapter 5 Eigenvalues and Eigenvectors
Chapter 6 Linear Transformations
Chapter 7 Inner Product Spaces
Chapter 8 Numerical Methods
Chapter 9 Linear Programming
Gareth Williams-Stetson University
Gareth Williams earned a B.S. and a Ph.D. in applied mathematics from the University of Wales, and did graduate work at Kings College University of London. He has taught mathematics at the University of Florida, the University of Denver, and Stetson University. He has been an exchange professor at the Paedagogische Hochschule, in Freiburg, Germany and has spent sabbaticals at the University of Wales. His mathematical interests include linear algebra, relativity, mathematical modeling, and the computer in mathematics education.
His publications include "Fine Topologies for Minkowski Space", Motions in Relativistic Space", "Mathematics in Archaeology", and books on Finite Mathematics, Calculus, and College Algebra. He is the co-developer (with Lisa Coulter) of the linear algebra software package, "The Linear Algebra Toolbox" for MATLAB. Dr. Williams is a member of The Mathematics Association of America.
Additional Titles by this Author
- ISBN-13: 9781449679545
- ISBN-13: 9781449687892
- ISBN-13: 9781449687922