ラング著／線形代数（第３版･テキスト） Linear Algebra (Undergraduate Texts in Mathematics) （3RD 1987. Corr. 11th printing）

Lang, Serge

Springer（2005発売）

• 製本 Hardcover:ハードカバー版／ページ数 296 p.
• 言語 ENG
• 商品コード 9780387964126

基本説明

Originally published by Addison-Wesley, Reading, 1971. 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, diagnalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.

Full Description

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.