Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics) (Paperback)

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Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics) By Thomas S. Shores Cover Image


This book is about matrix and linear algebra, and their applications. 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. To this end, applied mathematics and mathematical modeling ought to have an important role in an introductory treatment of linear algebra. In this way students see that concepts of matrix and linear algebra make concrete problems workable. In this book we weave signi?cant motivating examples into the fabric of the text. I hope that instructors will not omit this material; that would be a missed opportunity for linear algebra The text has a strong orientation toward numerical computation and applied mathematics, which means that matrix analysis plays a central role. All three of the basic components of l- ear algebra -- theory, computation, and applications -- receive their due. The proper balance of these components gives students the tools they need as well as the motivation to acquire these tools. Another feature of this text is an emphasis on linear algebra as an experimental science; this emphasis is found in certain examples, computer exercises, and projects. Contemporary mathematical software make ideal "labs" for mathematical experimentation. Nonetheless, this text is independent of speci?c hardware and software pl- forms. Applications and ideas should take center stage, not software.

About the Author

Thomas S. Shores is Professor Emeritus 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.
Product Details
ISBN: 9783030090678
ISBN-10: 3030090671
Publisher: Springer
Publication Date: January 12th, 2019
Pages: 479
Language: English
Series: Undergraduate Texts in Mathematics