Linear algebra
Author(s)
Bibliographic Information
Linear algebra
(Undergraduate texts in mathematics)
Springer, c1987
3rd ed
- pbk
Related Bibliography 1 items
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Linear algebra / Serge Lang
BA00424474
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Linear algebra / Serge Lang
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Note
"Mathematics subject classification (2000): 15-01" -- T.p. verso
The first edition of this book appeared under the title Introduction to linear algebra by Addison-Wesley, c1970
The second edition appeared under the title Linear algebra by Addison-Wesley, c1971
Includes index
Description and Table of Contents
Description
This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.
Table of Contents
- 1. Vector Spaces
- 2. Matrices
- 3. Linear Mappings
- 4. Linear Maps and Matrices
- 5. Scalar Products and Orthogonality
- 6. Determinants
- 7. Symmetric, Hermitian, and Unitary Operators
- 8. Eigenvectors and Eigenvalues
- 9. Polynomials and Matrices
- 10. Triangulation of Matrices and Linear Maps
- 11. Polynomials and Primary Decomposition
- 12. Convex Sets
by "Nielsen BookData"