Linear Algebra / by Serge Lang.

Format:

Book

Author/Creator:

Lang, Serge, 1927-2005, author.

Contributor:

SpringerLink (Online service)

Series:

Undergraduate texts in mathematics 0172-6056

Undergraduate Texts in Mathematics, 0172-6056

Language:

English

Subjects (All):

Matrices.

Algebra.

Linear and Multilinear Algebras, Matrix Theory.

Local Subjects:

Linear and Multilinear Algebras, Matrix Theory.

Physical Description:

1 online resource.

Edition:

Third edition 1987.

Contained In:

Springer Nature eBook

Place of Publication:

New York, NY : Springer New York : Imprint: Springer, 1987.

System Details:

text file PDF

Summary:

Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

Contents:

I Vector Spaces

II Matrices

III Linear Mappings

IV Linear Maps and Matrices

V Scalar Products and Orthogonality

VI Determinants

VII Symmetric, Hermitian, and Unitary Operators

VIII Eigenvectors and Eigenvalues

IX Polynomials and Matrices

X Triangulation of Matrices and Linear Maps

XI Polynomials and Primary Decomposition

XII Convex Sets

Appendix I Complex Numbers

Appendix II Iwasawa Decomposition and Others.

Other Format:

Printed edition:

ISBN:

9781475719499

Access Restriction:

Restricted for use by site license.