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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Corporate Author:  
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