Linear Algebra - Peter Petersen

Linear Algebra

(Autor)

Buch | Softcover
390 Seiten
2014
Springer-Verlag New York Inc.
978-1-4899-9788-3 (ISBN)
64,19 inkl. MwSt
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.
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.

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

Preface.- 1 Basic Theory.- 2 Linear Operators.- 3 Inner Product Spaces.- 4 Linear Operators on Inner Product Spaces.- 5 Determinants.- Bibliography.- Index.

Erscheint lt. Verlag 11.6.2014
Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo X, 390 p.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Characteristic Polynomial • complex inner products • dual spaces • eigenvalues • Gaussian elimination • Jordan canonical form • linear algebra • Linear Differential Equations • linear maps • Linear Operators • minimal polynomial • Spectral Theorem • vector spaces
ISBN-10 1-4899-9788-1 / 1489997881
ISBN-13 978-1-4899-9788-3 / 9781489997883
Zustand Neuware
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