Undergraduate Texts in Mathematics

Linear Algebra

Authors: Petersen, Peter

  • 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
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eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-3612-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-3611-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4899-9788-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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 is the 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.

About the authors

Peter Petersen is currently a professor of mathematics at University of California, Los Angeles.

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)

Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-3612-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-3611-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4899-9788-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Linear Algebra
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-3612-6
DOI
10.1007/978-1-4614-3612-6
Hardcover ISBN
978-1-4614-3611-9
Softcover ISBN
978-1-4899-9788-3
Series ISSN
0172-6056
Edition Number
1
Number of Pages
X, 390
Topics