Linear Algebra : An Introductory Approach

Linear algebra is the branch of mathematics that has grown from a care­ ful study of the problem of solving systems of linear equations. The ideas that developed in this way have become part of the language of much of higher mathematics. They also provide a framework for appli­ cations of linear alg...

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Main Author: Curtis, Charles W.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 1984, 1984
Edition:4th ed. 1984
Series:Undergraduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction to Linear Algebra
  • 1. Some problems which lead to linear algebra
  • 2. Number systems and mathematical induction
  • 2. Vector Spaces and Systems of Linear Equations
  • 3. Vector spaces
  • 4. Subspaces and linear dependence
  • 5. The concepts of basis and dimension
  • 6. Row equivalence of matrices
  • 7. Some general theorems about finitely generated vector spaces
  • 8. Systems of linear equations
  • 9. Systems of homogeneous equations
  • 10. Linear manifolds
  • 3. Linear Transformations and Matrices
  • 11. Linear transformations
  • 12. Addition and multiplication of matrices
  • 13. Linear transformations and matrices
  • 4. Vector Spaces with an Inner Product
  • 14. The concept of symmetry
  • 15. Inner products
  • 5. Determinants
  • 16. Definition of determinants
  • 17. Existence and uniqueness of determinants
  • 18. The multiplication theorem for determinants
  • 19. Further properties of determinants
  • 6. Polynomials and Complex Numbers
  • 20. Polynomials
  • 21. C