Description

Book Synopsis
As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing with extensive use in computing science, physics, chemistry, and data communications as well as in new areas of mathematics such as combinatorics.

Trade Review
“…an ideal starter into algebra for all kinds of students, and a very useful addition to existing textbooks…” (Zentralblatt Math, Vol.1050, 2005)

Table of Contents
Preface to the First Edition.

Preface to the Second Edition.

List of Symbols.

1. Introduction.

2. Boolean Algebras.

3. Groups.

4. Quotient Groups.

5. Symmetry Groups in Three Dimensions.

6. Pólya–Burnside Method of Enumeration.

7. Monoids and Machines.

8. Rings and Fields.

9. Polynomial and Euclidean Rings.

10.Quotient Rings.

11. Field Extensions.

12. Latin Squares.

13. Geometrical Constructions.

14. Error-Correcting Codes.

Appendix 1: Proofs.

Appendix 2: Integers.

Bibliography and References.

Answers to the Odd-Numbered Exercises.

Index.

Modern Algebra with Applications 52 Pure and Applied Mathematics A Wiley Series of Texts Monographs and Tracts

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    A Hardback by W. Keith Nicholson, W. Keith Nicholson

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      View other formats and editions of Modern Algebra with Applications 52 Pure and Applied Mathematics A Wiley Series of Texts Monographs and Tracts by W. Keith Nicholson

      Publisher: Wiley
      Publication Date: 25/11/2003
      ISBN13: 9780471414513, 978-0471414513
      ISBN10:

      Description

      Book Synopsis
      As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing with extensive use in computing science, physics, chemistry, and data communications as well as in new areas of mathematics such as combinatorics.

      Trade Review
      “…an ideal starter into algebra for all kinds of students, and a very useful addition to existing textbooks…” (Zentralblatt Math, Vol.1050, 2005)

      Table of Contents
      Preface to the First Edition.

      Preface to the Second Edition.

      List of Symbols.

      1. Introduction.

      2. Boolean Algebras.

      3. Groups.

      4. Quotient Groups.

      5. Symmetry Groups in Three Dimensions.

      6. Pólya–Burnside Method of Enumeration.

      7. Monoids and Machines.

      8. Rings and Fields.

      9. Polynomial and Euclidean Rings.

      10.Quotient Rings.

      11. Field Extensions.

      12. Latin Squares.

      13. Geometrical Constructions.

      14. Error-Correcting Codes.

      Appendix 1: Proofs.

      Appendix 2: Integers.

      Bibliography and References.

      Answers to the Odd-Numbered Exercises.

      Index.

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