[Book Cover]

Linear Algebra with Applications, 5/e

Steven J. Leon, University of Massachusetts, Dartmouth

Published October, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1998, 491 pp.
Cloth
ISBN 0-13-849308-1


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Summary

Renowned for thoroughness and accessibility, this top-selling text by one of the leading figures in linear algebra education offers students a challenging and enjoyable study of linear algebra that is infused with an abundance of applications. Balancing coverage of mathematical theory and applied topics, Professor Leon explains concepts with precision so that students at any level can understand the material. Worked examples are used to integrate the topics discussed. The book stresses the important role geometry and visualization play in understanding the subject, and now comes with the new ancillary ATLAST computer exercise guide.

Features


Offers the most extensive set of chapter-ending computer exercises of any linear algebra text on the market.
Presents many applications from the start so students can see early on what an important tool linear algebra is for solving applied problems.
Emphasizes the use of geometry to visualize linear algebra and aid in understanding all of the major topics.
Previews some of the more difficult vector space concepts early on, i.e., covers linear combinations right after the definition of matrix multiplication.
Offers carefully designed MATLAB computing exercises in each chapter to shed light on the mathematical significance of the computations and provide students with experience in performing matrix computations.
NEW—Adds many more applications covering topics in a wide variety of areas, including astronomy, ecology, chemistry, psychology, economics, signal processing, mechanical engineering, and statistics.
NEW—Includes—at no extra cost to adopters—the ATLAST Computer Exercises for Linear Algebra; an acronym for Augmenting the Teaching of Linear Algebra through the use of Software Tools. ATLAST offers computer exercises and a section of longer computer projects for each of the standard topics in the course.
NEW—Allows instructors to now download two new sections of supplemental material from the Prentice-Hall web site—the Jordan canonical form and iterative methods for solving linear systems.
NEW—PH Web Site for Linear Algebra offers additional applications and student help as well as internet links to other sites.


Table of Contents

    1. Matrices and Systems of Equations.
    2. Determinants.
    3. Vector Spaces.
    4. Linear Transformations.
    5. Orthogonality.
    6. Eigenvalues.
    7. Numerical Linear Algebra.
    Appendix: MATLAB.
    Bibliography.
    Answers to Selected Exercises.
    Index.


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