# Linear Algebra

## An Introductory Approach

• Charles W. Curtis
Book

Part of the Undergraduate Texts in Mathematics book series (UTM)

1. Front Matter
Pages i-x
2. Charles W. Curtis
Pages 1-15
3. Charles W. Curtis
Pages 16-74
4. Charles W. Curtis
Pages 75-108
5. Charles W. Curtis
Pages 109-131
6. Charles W. Curtis
Pages 132-162
7. Charles W. Curtis
Pages 163-183
8. Charles W. Curtis
Pages 184-227
9. Charles W. Curtis
Pages 228-265
10. Charles W. Curtis
Pages 266-288
11. Charles W. Curtis
Pages 289-323
12. Back Matter
Pages 325-349

### Introduction

Linear algebra is the branch of mathematics that has grown from a care­ ful study of the problem of solving systems of linear equations. The ideas that developed in this way have become part of the language of much of higher mathematics. They also provide a framework for appli­ cations of linear algebra to many problems in mathematics, the natural sciences, economics, and computer science. This book is the revised fourth edition of a textbook designed for upper division courses in linear algebra. While it does not presuppose an earlier course, many connections between linear algebra and under­ graduate analysis are worked into the discussion, making it best suited for students who have completed the calculus sequence. For many students, this may be the first course in which proofs of the main results are presented on an equal footing with methods for solving numerical problems. The concepts needed to understand the proofs are shown to emerge naturally from attempts to solve concrete problems. This connection is illustrated by worked examples in almost every section. Many numerical exercises are included, which use all the ideas, and develop important techniques for problem-solving. There are also theoretical exercises, which provide opportunities for students to discover interesting things for themselves, and to write mathematical explanations in a convincing way. Answers and hints for many of the problems are given in the back. Not all answers are given, however, to encourage students to learn how to check their work.

### Keywords

Lineare Algebra Matrix Matrix Theory Multilinear Algebra algebra linear algebra

#### Authors and affiliations

• Charles W. Curtis
• 1
1. 1.Department of MathematicsUniversity of OregonEugeneUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-1136-5
• Copyright Information Springer-Verlag New York, Inc. 1984
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-7019-5
• Online ISBN 978-1-4612-1136-5
• Series Print ISSN 0172-6056