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- About this Textbook
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Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
- Reviews
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"The present textbook is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of finite-dimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigenvalues, quadratic and Hermitian forms, diagonalization of symmetric, Hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. It also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. In this third edition, many parts of the book have been rewritten and reorganized, and new exercises have been added." (S. Lajos, Mathematical Reviews)
- Table of contents (12 chapters)
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Vector Spaces
Pages 1-22
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Matrices
Pages 23-42
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Linear Mappings
Pages 43-80
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Linear Maps and Matrices
Pages 81-94
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Scalar Products and Orthogonality
Pages 95-139
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Linear Algebra
- Authors
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- Serge Lang
- Series Title
- Undergraduate Texts in Mathematics
- Copyright
- 1987
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4757-1949-9
- DOI
- 10.1007/978-1-4757-1949-9
- Hardcover ISBN
- 978-0-387-96412-6
- Softcover ISBN
- 978-1-4419-3081-1
- Series ISSN
- 0172-6056
- Edition Number
- 3
- Number of Pages
- IX, 285
- Additional Information
- Originally published by Addison-Wesley, Reading, 1971
- Topics
