Serge Lang: Linear Algebra | Taschenbuch

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Cover: 9781441930811 | Linear Algebra | Serge Lang | Taschenbuch | Paperback | Englisch

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

"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 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. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

Inhaltsverzeichnis

1. Vector Spaces; 2. Matrices; 3. Linear Mappings; 4. Linear Maps and Matrices; 5. Scalar Products and Orthogonality; 6. Determinants; 7. Symmetric, Hermitian, and Unitary Operators; 8. Eigenvectors and Eigenvalues; 9. Polynomials and Matrices; 10. Triangulation of Matrices and Linear Maps; 11. Polynomials and Primary Decomposition; 12. Convex Sets

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	308
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	ix 285 S. 7 s/w Illustr.
ISBN-13:	9781441930811
ISBN-10:	1441930817
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Lang, Serge
Auflage:	Softcover reprint of the original 3rd ed. 1987
Hersteller:	Springer US Springer New York Undergraduate Texts in Mathematics
Maße:	235 x 155 x 17 mm
Von/Mit:	Serge Lang
Erscheinungsdatum:	01.12.2010
Gewicht:	0,47 kg

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