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Abstract algebra 2nd ed

Abstract algebra 2nd ed (5회 대출)

자료유형
단행본
개인저자
Herstein, I. N.
서명 / 저자사항
Abstract algebra / I.N. Herstein.
판사항
2nd ed.
발행사항
New York :   Macmillan Pub. ;   London :   Collier Macmillan,   c1990.  
형태사항
xix, 293 p. : ill. ; 24 cm.
ISBN
0023538228
일반주기
Includes index  
일반주제명
Algebra, Abstract.
000 00618camuuu200217 a 4500
001 000000918138
005 19990113113635.0
008 890928s1990 nyua 00110 eng
020 ▼a 0023538228
040 ▼a DLC ▼c DLC ▼d DLC ▼d 244002
049 0 ▼l 151005457
050 0 0 ▼a QA162 ▼b .H47 1990
082 0 0 ▼a 512/.02 ▼2 20
090 ▼a 512.02 ▼b H572a2
100 1 ▼a Herstein, I. N.
245 1 0 ▼a Abstract algebra / ▼c I.N. Herstein.
250 ▼a 2nd ed.
260 ▼a New York : ▼b Macmillan Pub. ; ▼a London : ▼b Collier Macmillan, ▼c c1990.
300 ▼a xix, 293 p. : ▼b ill. ; ▼c 24 cm.
500 ▼a Includes index
650 0 ▼a Algebra, Abstract.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 512.02 H572a2 등록번호 151005457 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차


CONTENTS
CHAPTER 1 Things familiar and Less Familiar = 1
  1 A Few Preliminary Remarks = 1
  2 Set Theory = 3
  3 Mapping = 8
  4 A(S)(The Set of 1-1 Mappings of S onto Itself) = 18
  5 The Integers = 25
  6 Mathematical Induction = 32
  7 Complex Numbers = 37
CHAPTER 2 Groups = 47
  1 Definitions ions and Examples of Groups = 47
  2 Some Simple Remarks = 57
  3 Subgroups = 59
  4 Lagrange's Theorem = 66
  5 Homomorphisms and Normal Subgroups = 79
  6 Factor Groups = 92
  7 The Homomorphism Theorems = 100
  8 Cauchy's Theorem = 105
  9 Direct Products = 110
  10 Finite Abelian Groups(Optional) = 115
  11 Conjugacy and Sylow's Theorem(Optional) = 120
CHAPTER 3 The Symmetric Group = 129
  1 Preliminaries = 129
  2 Cycle Decomposition = 133
  3 Odd and Even Permutations = 140
CHAPTER 4 Ring Theory = 147
  1 Definitions and Examples = 147
  2 Some Simple Results = 161
  3 Ideals, Homomorphisms, and Quotient Rings = 164
  4 Maximal Ideals = 174
  5 Polynomial Rings = 178
  6 Polynomials over the Rationals = 194
  7 Field of Quotients of an Integral Domain = 202
CHAPTER 5 Fields = 207
  1 Examples of Fields = 208
  2 A Brief Excursion into Vector Spaces = 212
  3 Field Extensions = 225
  4 Finite Extensions = 234
  5 Constructibility = 237
  6 Roots of Polynomials = 245
CHAPTER 6 Special Topic(Optional) = 255
  1 The Simplicity of An = 256
  2 Finite Fields Ⅰ = 263
  3 Finite Fields Ⅱ : Existence = 266
  4 Finite Fields Ⅲ : Uniqueness = 270
  5 Cyclotomic Polynomials = 272
  6 Liouville's Criterion = 281
  7 The Irrationality of π = 285
Index = 289

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