The Linear Algebra a Beginning Graduate Student Ought to Know

Buch | Softcover
448 Seiten
2007 | 2nd ed.
Springer-Verlag New York Inc.
978-1-4020-5494-5 (ISBN)

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The Linear Algebra a Beginning Graduate Student Ought to Know - Jonathan S. Golan
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This book rigorously deals with the abstract theory and, at the same time, devotes considerable space to the numerical and computational aspects of linear algebra. It includes over 1,000 exercises, many of which are very challenging.
This book rigorously deals with the abstract theory and, at the same time, devotes considerable space to the numerical and computational aspects of linear algebra. It features a large number of thumbnail portraits of researchers who have contributed to the development of linear algebra as we know it today and also includes over 1,000 exercises, many of which are very challenging. The book can be used as a self-study guide; a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or as a reference book.

1. Notation and terminology.- 2. Fields.- 3. Vector spaces over a field.- 4. Algebras over a field.- 5. Linear Dependence and Dimension.- 6. Linear Transformations.- 7. The endomorphism algebra of a vector space.- 8. Representation of linear transformations by matrices.- 9. The algebra of square matrices.- 10. Systems of linear equations.- 11.Determinants.- 12. Eigenvalues and eigenvectors.- 13. Krylov subspaces.- 14. The dual space.- 15. Inner product spaces.- 16. Orthogonality.- 17. Selfadjoint endomorphisms.- 18. Unitary and normal endomorphisms.- 19. Moore-Penrose pseudoinverses.- 20. Bilinear transformations and forms.

Erscheint lt. Verlag 19.1.2007
Zusatzinfo 1, black & white illustrations
Verlagsort New York, NY
Sprache englisch
Maße 156 x 234 mm
Gewicht 624 g
Einbandart Paperback
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 1-4020-5494-7 / 1402054947
ISBN-13 978-1-4020-5494-5 / 9781402054945
Zustand Neuware
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