Modern algebra with applications
著者
書誌事項
Modern algebra with applications
(Pure and applied mathematics)
Wiley-Interscience, c2004
2nd ed
- : cloth
大学図書館所蔵 全24件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references(p306-308) and index
内容説明・目次
内容説明
Praise for the first edition "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries."
-CHOICE
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 areas of mathematics such as combinatorics.
Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject-effectively holding your interest and creating a more seamless method of instruction.
Incorporating the applications of modern algebra throughout its authoritative treatment of the subject, this book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd-numbered exercises are appended in the back of the text.
Chapter topics include:
Boolean Algebras
Polynomial and Euclidean Rings
Groups
Quotient Rings
Quotient Groups
Field Extensions
Symmetry Groups in Three Dimensions
Latin Squares
Polya-Burnside Method of Enumeration
Geometrical Constructions
Monoids and Machines
Error-Correcting Codes
Rings and Fields
In addition to improvements in exposition, this fully updated Second Edition also contains new material on order of an element and cyclic groups, more details about the lattice of divisors of an integer, and new historical notes.
Filled with in-depth insights and over 600 exercises of varying difficulty, Modern Algebra with Applications, Second Edition can help anyone appreciate and understand this subject.
目次
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. Polya-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.
「Nielsen BookData」 より