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Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics) Paperback – September 17, 2007

ISBN-13: 978-0387331959 ISBN-10: 0387331956 Edition: 2007th

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Editorial Reviews

Review

From the reviews:

"The book under review is a nice blend of three independent components of linear algebra: Theory, computation and applications. … The book is consisting of the author preface, six chapters, table of symbols, solutions to selected exercises, a bibliography containing 13 references and subject index. … The book is very useful for undergraduate students and nonspecialists." (Mohammad Sal Moslehian, Zentralblatt MATH, Vol. 1128 (6), 2008)

"This book is intended for a one or two semester course, with emphasis on linear algebra as an experimental science. … The text is written in a nice conversational style. Proofs are provided for most results … . The author also provides many computer exercises, projects, and report topics … . Instructors wanting to encourage precision in mathematical writing will find these assignments helpful. … This is a good text for those who want to introduce their students to applied discrete mathematics … ." (Henry Ricardo, The Mathematical Association of America, September, 2008)

From the Back Cover

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms.

Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises. The student will develop a solid foundation in the following topics

*Gaussian elimination and other operations with matrices

*basic properties of matrix and determinant algebra

*standard Euclidean spaces, both real and complex

*geometrical aspects of vectors, such as norm, dot product, and angle

*eigenvalues, eigenvectors, and discrete dynamical systems

*general norm and inner-product concepts for abstract vector spaces

For many students, the tools of matrix and linear algebra will be as fundamental in their professional work as the tools of calculus; thus it is important to ensure that students appreciate the utility and beauty of these subjects as well as the mechanics. By including applied mathematics and mathematical modeling, this new textbook will teach students how concepts of matrix and linear algebra make concrete problems workable.

Thomas S. Shores is Professor of Mathematics at the University of Nebraska, Lincoln, where he has received awards for his teaching. His research touches on group theory, commutative algebra, mathematical modeling, numerical analysis, and inverse theory.

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Product Details

  • Series: Undergraduate Texts in Mathematics
  • Paperback: 384 pages
  • Publisher: Springer; 2007 edition (September 17, 2007)
  • Language: English
  • ISBN-10: 0387331956
  • ISBN-13: 978-0387331959
  • Product Dimensions: 7 x 0.9 x 9.2 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #472,567 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

10 of 12 people found the following review helpful By John Satish Sharma on November 13, 2007
Format: Paperback Verified Purchase
This is a very well written book. The author brings the 'topic to life' by showing how the linear algebra can be used in an applied setting. Also the graphics enable the reader to understand the material from a geometric perspective, as opposed to merely looking at terse algebraic equations.

Finally, the hints and answers section at the back of the book are very good for self study.

Highly recommended!
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6 of 7 people found the following review helpful By K. Long on June 23, 2009
Format: Paperback Verified Purchase
I have adopted this book as one of the texts for my introductory course on applied math. It's well written and has a diverse set of good examples drawn from everything from computer graphics to sports betting. It's fun to read, and in general, good.

It is significantly better than Olver and Shakiban's book of similar title and scope, and a heck of a lot cheaper. In a course like mine where I use several specialized books rather than one of the massive tomes that try (and fail) to cover all of applied math, low price is a factor for me.

Negatives include: too few theory problems, a fair number of typos, relegation of the LU factorization to a problem set. On the whole, though, it's not bad.
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