Lectures on Linear Algebra
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Description: Prominent Russian mathematician’s concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. Not designed as an introductory text. 1961 edition.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $11.95
Copyright year: 1989
Publisher: Dover Publications, Incorporated
Publication date: 9/1/1989
Size: 5.50" wide x 8.50" long x 0.50" tall
|Linear and Bilinear Forms|
|n-Dimensional vector spaces|
|Isomorphism of Euclidean spaces|
|Bilinear and quadratic forms|
|Reduction of a quadratic form to a sum of squares|
|Reduction of a quadratic form by means of a triangular transformation|
|The law of inertia|
|Complex n-dimensional space|
|Operations on linear transformations|
|Eigenvalues and eigenvectors of a linear transformation|
|The adjoint of a linear transformation|
|Self-adjoint (Hermitian) transformations|
|Simultaneous reduction of a pair of quadratic forms to a sum of squares|
|Commutative linear transformations|
|Decomposition of a linear transformation into a product of a unitary and self-adjoint transformation|
|Linear transformations on a real Euclidean space|
|External properties of eigenvalues|
|The Canonical Form of an Arbitrary Linear Transformation|
|The canonical form of a linear transformation|
|Reduction to canonical form|
|Introduction to Tensors|
|The dual space|