线性代数第3版 Linear Algebra 英文原版 Serge Lang

基本信息

Format Hardback | 285 pages

Dimensions 155 x 235 x 25.4mm | 1,370g

Publication date 30 Jun 2004

Publisher Springer-Verlag New York Inc.

Language English

Edition Revised

Edition Statement 3rd ed. 1987. Corr. 11th printing 2004

Illustrations note IX, 285 p.

ISBN10 0387964126

ISBN13 9780387964126

页面参数仅供参考，具体以实物为准

书籍简介

这本书从向量空间的基本理论的阐述开始，并继续解释线性映射的基本结构定理，包括特征向量和特征值，二次和厄米特形式，对称的诊断，厄米特，和酉线性映射和矩阵，三角化，和Jordan标准形式。在这个新版本的材料已经重写和重组，并增加了新的练习。

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.

目录

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

作者简介

塞尔日·朗（1927 年 5 月 19 日 – 2005 年 9 月 12 日）是一位法裔美国数学家和活动家，他的大部分职业生涯都在耶鲁大学任教。 他以其在数论方面的工作和他的数学教科书而闻名，包括有影响力的代数。 他于 1960 年获得弗兰克纳尔逊科尔奖，是布尔巴基集团的成员。

Serge Lang (May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group.