Linear Algebra

Name: Linear Algebra
Brand: Springer, New York, Springer
SKU: 2302495
Price: 52.38 EUR
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(Sprache: Englisch)

Autor: Serge Lang

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Produktdetails

Produktbeschreibung
Inhaltsverzeichnis
Biblio. Angaben / Produktdetails
Rezension

Produktinformationen zu „Linear Algebra “

This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

Klappentext zu „Linear Algebra “

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.

Inhaltsverzeichnis zu „Linear Algebra “

- Vector Spaces

- Matrices

- Linear Mappings

- Linear Maps and Matrices

- Scalar Products and Orthogonality

- Determinants

- Symmetric, Hermitian, and Unitary Operators

- Eigenvectors and Eigenvalues

- Polynomials and Matrices

- Triangulation of Matrices and Linear Maps

- Polynomials and Primary Decomposition

- Convex Sets

- Appendix I. Complex Numbers

- Appendix II. Iwasawa Decomposition and Others

- Index.

Bibliographische Angaben

Autor: Serge Lang
2004, 3rd ed., 285 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
Verlag: Springer, New York
ISBN-10: 0387964126
ISBN-13: 9780387964126
Erscheinungsdatum: 09.03.2004

Sprache:

Englisch

Rezension zu „Linear Algebra “

"The present textbook is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of finite-dimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigenvalues, quadratic and Hermitian forms, diagonalization of symmetric, Hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. It 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. In this third edition, many parts of the book have been rewritten and reorganized, and new exercises have been added." (S. Lajos, Mathematical Reviews)

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