Lectures on Linear Algebra

Name: Lectures on Linear Algebra
Price: 7.26 USD
Availability: InStock
ISBN: 9780486660820

ISBN-10: 0486660826

ISBN-13: 9780486660820

Edition: 1989

Authors: I. M. Gel'fand

List price: $11.95

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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.

Book details

List price: $11.95
Copyright year: 1989
Publisher: Dover Publications, Incorporated
Publication date: 9/1/1989
Binding: Paperback
Pages: 185
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.484
Language: English




n-Dimensional Spaces


Linear and Bilinear Forms



n-Dimensional vector spaces



Euclidean space



Orthogonal basis


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



Linear Transformations



Linear transformations


Operations on linear transformations



Invariant subspaces


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



Unitary transformations



Commutative linear transformations


Normal 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



Elementary divisors



Polynomial matrices



Introduction to Tensors



The dual space



Tensors