Authors:
- Provides a matrix-oriented approach to the theory of linear algebra including all details and proofs
- Improves intuition for students in their first contact with abstract concepts
- Analyzes detailed examples from application, contains ‘MATLAB-Minutes’ and special topics from applied linear algebra
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
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Table of contents (20 chapters)
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Front Matter
About this book
The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises.
Reviews
“This book begins with applied problems that are examined as the theory is developed. … Liesen and Mehrmann … present computations with matrix groups and rings, elementary matrices, echelon forms, rank, linear systems, determinants, and eigenvalues and eigenvectors before introducing vectors and vector spaces. … Each chapter ends with a set of exercises addressing both computation and theory. … Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (J. R. Burke, Choice, Vol. 53 (12), September, 2016)
“It provides a good introductory undergraduate course at an intermediate level … . From the beginning, the authors motivate the material with interesting examples … . the text includes short ‘MATLAB-Minutes’ which are exercises providing an informal introduction to the use of MATLAB in linear algebra, including hints about how care may be needed when working in finite precision.” (John D. Dixon, zbMATH 1334.15001, 2016)
Authors and Affiliations
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Institute of Mathematics, Technical University of Berlin, Berlin, Germany
Jörg Liesen, Volker Mehrmann
About the authors
Volker Mehrmann's research interests are in Numerical Mathematics, Control Theory, Matrix Theory as well as Scientific Computing. In recent years he has focused on the development and analysis of numerical methods for nonlinear eigenvalue problems and differential-algebraic systems with applications in many fields such as mechanical systems, electronic circuit simulation and acoustic field computations. He is co-editor-in-chief of the journal Linear Algebra and its Applications and editor of many other journals in Linear Algebra and Numerical Analysis. He believes that Mathematics has become a central prerequisite for the societal development of the 21st century and that mathematical methods play the key role in the modeling, simulation, control and optimization of all are as of technological development.
Bibliographic Information
Book Title: Linear Algebra
Authors: Jörg Liesen, Volker Mehrmann
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-3-319-24346-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2015
Softcover ISBN: 978-3-319-24344-3Published: 28 November 2015
eBook ISBN: 978-3-319-24346-7Published: 20 November 2015
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: XI, 324
Number of Illustrations: 22 b/w illustrations