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โœฆ   LIBER   โœฆ
๐Ÿ“

Introduction to Linear Algebra

โœ Scribed by Serge Lang

Publisher
Springer
Year
1985
Tongue
English
Leaves
303
Series
Undergraduate Texts in Mathematics
Edition
2nd
Category
Library
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โœฆ Synopsis

This 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, while others are conceptual.

โœฆ Table of Contents

Cover......Page 1
Copyright......Page 5
Preface......Page 6
Contents......Page 8
CHAPTER 1 Vectors......Page 10
CHAPTER II Matrices and Linear Equations......Page 51
CHAPTER III Vector Spaces......Page 97
CHAPTER IV Linear Mappings......Page 132
CHAPTER V Composition and Inverse Mappings......Page 167
CHAPTER VI Scalar Products and Orthogonal ity......Page 180
CHAPTER VII Determinants......Page 204
CHAPTER VIII Eigenvectors andEigenvalues......Page 242
Answers to Exercises......Page 274
Index......Page 300

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