Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors.
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Gareth Williams received his B. Sc. and Ph.D. from the University of Wales. He has taught at the University of Florida, the University of Denver, and most recently, at Stetson University (DeLand, FL), where he was honored with the McInery Award for Teaching Excellence. His research interests include the role of technology in mathematics education, linear algebra, relativity, applied mathematics, and mathematical modeling. He is also the author of LINEAR ALGEBRA WITH APPLICATIONS, Fourth Edition (Jones and Bartlett, 2001), computer software including THE LINEAR ALGEBRA TOOLBOX FOR MATLAB and MATHEMATICA WORKBOOK ON LINEAR ALGEBRA, and numerous articles in refereed journals. Williams is also an active member of the Mathematics Association of America.
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