
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 0138493081

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Introductory Linear AlgebraMathematics

Renowned for thoroughness and accessibility, this topselling 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.
Offers the most extensive set of chapterending 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 PrenticeHall 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.
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.
