Linear Algebra
This text is written for a course in linear algebra at the (U.S.) sophomore undergraduate level, preferably directly following a one-variable calculus course, so that linear algebra can be used in a course on multidimensional calculus. Realizing that students at this level have had little contact wi...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1978, 1978
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| Edition: | 1st ed. 1978 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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
- 15 Inner product spaces
- 16 The spectral theorem and quadratic forms