Overview
- Contains considerably more material on differential equations, as examples and as motivation, than is typical in a linear algebra textbook
- Includes an excellent selection of good exercises
- Classroom tested for an upper undergraduate course in linear algebra
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra.
This book has several distinguishing features that set it apart from other linear algebra texts. For example: Gaussian elimination is used as the key tool in getting at eigenvalues; it takes an essentially determinant-free approach to linear algebra; and systems of linear differential equations are used as frequent motivation for the reader. Another motivating aspect of the book isthe excellent and engaging exercises that abound in this text.
This textbook is written for an upper-division undergraduate course on Linear Algebra. The prerequisites for this book are a familiarity with basic matrix algebra and elementary calculus, although any student who is willing to think abstractly should not have too much difficulty in understanding this text.
Reviews
From the reviews:
“The discussions and examples are clear, interesting, and appropriately thorough. There are numerous well-chosen exercises to test the readers understanding and, in some cases, to further develop some of the ideas. … a text that should be included in every undergraduate mathematics library. Even a beginning student will be well-rewarded by exploring various topics in this book.” (F. J. Papp, zbMATH, Vol. 1282, 2014)Authors and Affiliations
About the author
Bibliographic Information
Book Title: Linear Algebra
Authors: Peter Petersen
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-3612-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2012
Hardcover ISBN: 978-1-4614-3611-9Published: 29 May 2012
Softcover ISBN: 978-1-4899-9788-3Published: 11 June 2014
eBook ISBN: 978-1-4614-3612-6Published: 07 June 2012
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: X, 390