Further linear algebra /
Most of the introductory courses on linear algebra develop the basic theory of finite dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of th...
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Other Authors: | |
Format: | Book |
Language: | English |
Published: |
London :
Springer,
c2002
London ; New York : Springer-Verlag, Ltd., [2002], ©2002 London ; New York : c2002 London ; New York : ©2002 London ; New York : c2002 |
Series: | Springer undergraduate mathematics series
Springer undergraduate mathematics series, Springer undergraduate mathematics series Springer undergraduate mathematics series |
Subjects: |
Table of Contents:
- Inner product spaces
- Direct sums of subspaces
- Primary decomposition
- Reduction to triangular form
- Reduction to Jordan form
- Rational and classical forms
- Dual spaces
- Orthogonal direct sums
- Bilinear and quadratic forms
- Real normality
- Computer assistance
- ... but who were they?
- Solutions to exercises
- Inner product spaces
- Direct sums of subspaces
- Primary decomposition
- Reduction to triangular form
- Reduction to Jordan form
- Rational and classical forms
- Dual spaces
- Orthogonal direct sums
- Bilinear and quadratic forms
- Real normality
- Computer assistance
- ...but who were they?
- Solutions to exercises
- 1 Inner Product Spaces
- 2. Direct Sums of Subspaces
- 3. Primary Decomposition
- 4. Reduction to Triangular Form
- 5. Reduction to Jordan Form
- 6. Rational and Classical Forms
- 7. Dual Spaces
- 8. Orthogonal Direct Sums
- 9. Bilinear and Quadratic Forms
- 10. Real Normality
- 11. Computer Assistance
- 12. ... but who were they?
- 13. Solutions to the Exercises.