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Applied Abstract Algebra

  • Rudolf Lidl
  • Günter Pilz

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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Rudolf Lidl, Günter Pilz
    Pages 1-55
  3. Rudolf Lidl, Günter Pilz
    Pages 56-119
  4. Rudolf Lidl, Günter Pilz
    Pages 120-191
  5. Rudolf Lidl, Günter Pilz
    Pages 192-245
  6. Rudolf Lidl, Günter Pilz
    Pages 246-330
  7. Rudolf Lidl, Günter Pilz
    Pages 331-378
  8. Rudolf Lidl, Günter Pilz
    Pages 379-408
  9. Rudolf Lidl, Günter Pilz
    Pages 409-504
  10. Back Matter
    Pages 505-547

About this book

Introduction

There is at present a growing body of opinion that in the decades ahead discrete mathematics (that is, "noncontinuous mathematics"), and therefore parts of applicable modern algebra, will be of increasing importance. Cer­ tainly, one reason for this opinion is the rapid development of computer science, and the use of discrete mathematics as one of its major tools. The purpose of this book is to convey to graduate students or to final-year undergraduate students the fact that the abstract algebra encountered pre­ viously in a first algebra course can be used in many areas of applied mathematics. It is often the case that students who have studied mathematics go into postgraduate work without any knowledge of the applicability of the structures they have studied in an algebra course. In recent years there have emerged courses and texts on discrete mathe­ matics and applied algebra. The present text is meant to add to what is available, by focusing on three subject areas. The contents of this book can be described as dealing with the following major themes: Applications of Boolean algebras (Chapters 1 and 2). Applications of finite fields (Chapters 3 to 5). Applications of semigroups (Chapters 6 and 7).

Keywords

Abstract algebra Boolean algebra algebra applied mathematics development discrete mathematics finite field homomorphism knowledge matrices matrix polynomial semigroup themes tool

Authors and affiliations

  • Rudolf Lidl
    • 1
  • Günter Pilz
    • 2
  1. 1.Department of MathematicsUniversity of TasmaniaHobartAustralia
  2. 2.Institut für MathematikUniversität LinzLinzAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-6465-2
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96166-8
  • Online ISBN 978-1-4615-6465-2
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site