You are here

Lectures on Linear Algebra

I. M. Gel'fand
Publisher: 
Dover Publications
Publication Date: 
1989
Number of Pages: 
185
Format: 
Paperback
Price: 
10.95
ISBN: 
0486660826
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

There is no review yet. Please check back later.

I.

n-Dimensional Spaces. Linear and Bilinear Forms
  1. n-Dimensional vector spaces
  2. Euclidean space
  3. Orthogonal basis. Isomorphism of Euclidean spaces
  4. Bilinear and quadratic forms
  5. Reduction of a quadratic form to a sum of squares
  6. Reduction of a quadratic form by means of a triangular transformation
  7. The law of inertia
  8. Complex n-dimensional space
II. Linear Transformations
  9. Linear transformations. Operations on linear transformations
  10. Invariant subspaces. Eigenvalues and eigenvectors of a linear transformation
  11. The adjoint of a linear transformation
  12. Self-adjoint (Hermitian) transformations. Simultaneous reduction of a pair of quadratic forms to a sum of squares
  13. Unitary transformations
  14. Commutative linear transformations. Normal transformations
  15. Decomposition of a linear transformation into a product of a unitary and self-adjoint transformation
  16. Linear transformations on a real Euclidean space
  17. External properties of eigenvalues
III. The Canonical Form of an Arbitrary Linear Transformation
  18. The canonical form of a linear transformation
  19. Reduction to canonical form
  20. Elementary divisors
  21. Polynomial matrices
IV. Introduction to Tensors
  22. The dual space
  23. Tensors

Dummy View - NOT TO BE DELETED