Authors:
- Emphasizes linear algebra as an experimental science with a variety of modern applications
- Develops students’ analytical writing with report projects that require descriptive precision
- Explores applications of linear algebra to contemporary topics in technology, like Google PageRank
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
In its second edition, this textbook offers a fresh approach to matrix and linear algebra. Its blend of theory, computational exercises, and analytical writing projects is designed to highlight the interplay between these aspects of an application. This approach places special emphasis on linear algebra as an experimental science that provides tools for solving concrete problems.
The second edition’s revised text discusses applications of linear algebra like graph theory and network modeling methods used in Google’s PageRank algorithm. Other new materials include modeling examples of diffusive processes, linear programming, image processing, digital signal processing, and Fourier analysis. These topics are woven into the core material of Gaussian elimination and other matrix operations; eigenvalues, eigenvectors, and discrete dynamical systems; and the geometrical aspects of vector spaces.
Intended for a one-semester undergraduate course without a strict calculus prerequisite, Applied Linear Algebra and Matrix Analysis augments the key elements of linear algebra with a wide choice of optional sections. With the book’s selection of applications and platform-independent assignments, instructors can tailor the curriculum to suit specific interests and ensure students across various disciplines are equipped with the powerful tools of linear algebra.
Keywords
Reviews
“The book could be the basis of a course in matrices and linear algebra, and certainly deserves a place in a university library.” (P. Macgregor, The Mathematical Gazette, Vol. 104 (560), July, 2020)
Authors and Affiliations
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Department of Mathematics, University of Nebraska–Lincoln, Lincoln, USA
Thomas S. Shores
About the author
Bibliographic Information
Book Title: Applied Linear Algebra and Matrix Analysis
Authors: Thomas S. Shores
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-3-319-74748-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-74747-7Published: 18 May 2018
Softcover ISBN: 978-3-030-09067-8Published: 12 January 2019
eBook ISBN: 978-3-319-74748-4Published: 02 May 2018
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 2
Number of Pages: XII, 479
Number of Illustrations: 15 b/w illustrations, 30 illustrations in colour