Linear Algebra : an Introduction to Abstract Mathematics /
Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1993.
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| Series: | Undergraduate texts in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Topics covered include: Sets and functions
- Groups and group homomorphisms
- Vector spaces and linear transformations
- Dimension
- Matrices
- Representation of linear transformations
- Inner product spaces
- Determinants
- Eigenvalues and eigenvectors
- Triangulation and decomposition of endomorphisms. Supplementary chapters discuss the connection between linear algebra and multivariate calculus and introduce categories and functors.