# Algebra

• L. E. Sigler
Book

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

1. Front Matter
Pages i-xi
2. L. E. Sigler
Pages 1-30
3. L. E. Sigler
Pages 31-66
4. L. E. Sigler
Pages 67-91
5. L. E. Sigler
Pages 92-117
6. L. E. Sigler
Pages 118-156
7. L. E. Sigler
Pages 157-226
8. L. E. Sigler
Pages 227-296
9. L. E. Sigler
Pages 297-322
10. L. E. Sigler
Pages 323-362
11. L. E. Sigler
Pages 363-407
12. Back Matter
Pages 409-419

### Introduction

There is no one best way for an undergraduate student to learn elementary algebra. Some kinds of presentations will please some learners and will disenchant others. This text presents elementary algebra organized accord­ ing to some principles of universal algebra. Many students find such a presentation of algebra appealing and easier to comprehend. The approach emphasizes the similarities and common concepts of the many algebraic structures. Such an approach to learning algebra must necessarily have its formal aspects, but we have tried in this presentation not to make abstraction a goal in itself. We have made great efforts to render the algebraic concepts intuitive and understandable. We have not hesitated to deviate from the form of the text when we feel it advisable for the learner. Often the presenta­ tions are concrete and may be regarded by some as out of fashion. How to present a particular topic is a subjective one dictated by the author's estima­ tion of what the student can best handle at this level. We do strive for consistent unifying terminology and notation. This means abandoning terms peculiar to one branch of algebra when there is available a more general term applicable to all of algebra. We hope that this text is readable by the student as well as the instructor. It is a goal of ours to free the instructor for more creative endeavors than reading the text to the students.

### Keywords

algebra field linear algebra matrices matrix

#### Authors and affiliations

• L. E. Sigler
• 1
1. 1.Department of MathematicsBucknell UniversityLewisburgUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4613-9410-5
• Copyright Information Springer-Verlag New York 1976
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4613-9412-9
• Online ISBN 978-1-4613-9410-5
• Series Print ISSN 0172-6056