عنوان
پدید آورنده
موضوع
رده
QA162 .N53 2012
QA162
.
N53
2012
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1118311736
(Number (ISBN
9781118311738
Erroneous ISBN
1118135350
Erroneous ISBN
9781118135358
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to abstract algebra /
General Material Designation
[Book]
First Statement of Responsibility
W. Keith Nicholson.
EDITION STATEMENT
Edition Statement
4th ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hoboken :
Name of Publisher, Distributor, etc.
John Wiley & Sons,
Date of Publication, Distribution, etc.
©2012.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (1285 pages) :
Other Physical Details
illustrations
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 1137-1141) and index.
CONTENTS NOTE
Text of Note
Cover; Title Page; Copyright; Preface; Acknowledgments; Notation Used in the Text; A Sketch of the History of Algebra to 1929; Chapter 0: Preliminaries; 0.1 Proofs; 0.2 Sets; 0.3 Mappings; 0.4 Equivalences; Chapter 1: Integers and Permutations; 1.1 Induction; 1.2 Divisors and Prime Factorization; 1.3 Integers Modulo n; 1.4 Permutations; 1.5 An Application to Cryptography; Chapter 2: Groups; 2.1 Binary Operations; 2.2 Groups; 2.3 Subgroups; 2.4 Cyclic Groups and the Order of an Element; 2.5 Homomorphisms and Isomorphisms; 2.6 Cosets and Lagrange's Theorem; 2.7 Groups of Motions and Symmetries.
Text of Note
2.8 Normal Subgroups2.9 Factor Groups; 2.10 The Isomorphism Theorem; 2.11 An Application to Binary Linear Codes; Chapter 3: Rings; 3.1 Examples and Basic Properties; 3.2 Integral Domains and Fields; 3.2 Exercises; 3.3 Ideals and Factor Rings; 3.4 Homomorphisms; 3.5 Ordered Integral Domains; Chapter 4: Polynomials; 4.1 Polynomials; 4.2 Factorization of Polynomials over a Field; 4.3 Factor Rings of Polynomials over a Field; 4.4 Partial Fractions; 4.5 Symmetric Polynomials; 4.6 Formal Construction of Polynomials; Chapter 5: Factorization in Integral Domains.
Text of Note
5.1 Irreducibles and Unique Factorization5.2 Principal Ideal Domains; Chapter 6: Fields; 6.1 Vector Spaces; 6.2 Algebraic Extensions; 6.3 Splitting Fields; 6.4 Finite Fields; 6.5 Geometric Constructions; 6.6 The Fundamental Theorem of Algebra; 6.7 An Application to Cyclic and BCH Codes; Chapter 7: Modules over Principal Ideal Domains; 7.1 Modules; 7.2 Modules Over a PID; Chapter 8: p-Groups and the Sylow Theorems; 8.1 Products and Factors; 8.2 Cauchy's Theorem; 8.3 Group Actions; 8.4 The Sylow Theorems; 8.5 Semidirect Products; 8.6 An Application to Combinatorics.
Text of Note
Chapter 9: Series of Subgroups9.1 The Jordan-Hölder Theorem; 9.2 Solvable Groups; 9.3 Nilpotent Groups; Chapter 10: Galois Theory; 10.1 Galois Groups and Separability; 10.2 The Main Theorem of Galois Theory; 10.3 Insolvability of Polynomials; 10.4 Cyclotomic Polynomials and Wedderburn's Theorem; Chapter 11: Finiteness Conditions for Rings and Modules; 11.1 Wedderburn's Theorem; 11.2 The Wedderburn-Artin Theorem; Appendices; Appendix A Complex Numbers; Appendix B Matrix Algebra; Appendix C Zorn's Lemma; Appendix D Proof of the Recursion Theorem; Bibliography; Selected Answers; Index.
0
8
8
8
SUMMARY OR ABSTRACT
Text of Note
Praise for the Third Edition". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."--Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begi.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Safari Books Online
Stock Number
CL0500000219
OTHER EDITION IN ANOTHER MEDIUM
Title
Introduction to abstract algebra.
International Standard Book Number
9781118135358
TOPICAL NAME USED AS SUBJECT
Algebra, Abstract.
Algebra, Abstract.
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
02
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA162
.
N53
2012
PERSONAL NAME - PRIMARY RESPONSIBILITY
Nicholson, W. Keith.
ORIGINATING SOURCE
Date of Transaction
20200822151529.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
