Linear algebra

Author(s)

• Lang, Serge

Bibliographic Information

Linear algebra

Serge Lang

（Undergraduate texts in mathematics）

Springer, c1987

3rd ed

• pbk

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"

• NCID: BA82572757
• ISBN:
  • 9780387964126
  • 9781441930811
• LCCN: 86021943
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: ix, 296 p.
• Size: 25 cm
• Classification:
  • NDC9 : 411.3
  • LCC : QA251
  • DC19 : 512/.5
  • NDLC : MA61
• Subject Headings:
  • LCSH : Algebras, Linear
• Parent Bibliography ID:
  • BA00018418