Linear Algebra / by Serge Lang
(Undergraduate Texts in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 版 | Third Edition |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1987 |
| 本文言語 | 英語 |
| 大きさ | IX, 285 p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Lang, Serge author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Matrix theory LCSH:Algebra FREE:Mathematics FREE:Linear and Multilinear Algebras, Matrix Theory |
| 分 類 | DC23:512.5 |
| 巻冊次 | ISBN:9781475719499 
|
| ISBN | 9781475719499 |
| URL | http://dx.doi.org/10.1007/978-1-4757-1949-9 |
目次／あらすじ