Introduction to Linear Algebra / Serge Lang.
Material type: TextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer-Verlag, c1986.Edition: 2nd edDescription: viii, 291 p. : ill. ; 25 cmISBN:- 0387962050
- QA184 .L37 1986
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QA184 .A93 1991 الجبر الخطي / | QA184 .H8942 1984 مقدمة في الجبر الخطي / | QA184 .L37 1986 Introduction to Linear Algebra / | QA184 .L37 1986 Introduction to Linear Algebra / | QA184 .L57 1980 ملخصات شوم نظريات ومسائل في الجبر الخطى / | QA184 .L57 1980 ملخصات شوم نظريات ومسائل في الجبر الخطى / | QA184 .L57 1980 ملخصات شوم نظريات ومسائل في الجبر الخطى / |
Includes index.
Vectors.- Matrices and Linear Equations.- Vector Spaces.- Linear mappings.- Composition and inverse mappings.- Scalar Products and Orthogonality.- Determinants.- Eigenvectors and Eigenvalues. Answers to exercises. Index.
This book is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, and others are conceptual.
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