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Introduction to Linear Algebra / Serge Lang.

By: Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: New York : Springer-Verlag, c1986.Edition: 2nd edDescription: viii, 291 p. : ill. ; 25 cmISBN:
  • 0387962050
Subject(s): LOC classification:
  • QA184 .L37 1986
Online resources:
Contents:
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.
Summary: 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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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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