Linear Algebra [electronic resource] / by Larry Smith.
In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean...
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Online Access: |
Full Text (via Springer) |
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Main Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
New York, NY :
Springer US,
1984.
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Edition: | Second edition. |
Series: | Undergraduate texts in mathematics.
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Subjects: |
Table of Contents:
- 1 Vectors in the plane and space
- 2 Vector spaces
- 3 Subspaces
- 4 Examples of vector spaces
- 5 Linear independence and dependence
- 6 Bases and finite-dimensional vector spaces
- 7 The elements of vector spaces: a summing up
- 8 Linear transformations
- 9 Linear transformations: some numerical examples
- 10 Matrices and linear transformations
- 11 Matrices
- 12 Representing linear transformations by matrices
- 12bis More on representing linear transformations by matrices
- 13 Systems of linear equations
- 14 The elements of eigenvalue and eigenvector theory
- 14bis Multilinear algebra: determinants
- 15 Inner product spaces
- 16 The spectral theorem and quadratic forms
- 17 Jordan canonical form
- 18 Applications to linear differential equations
- List of notations.