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현대대수학(추상대수학) 3판 해결책 Joseph J. Rotman, A First Course in Abstract Algeb…

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설명
Section 1.1 Induction . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Section 1.2 Binomial Coefficients . . . . . . . . . . . . . . . . . . . 16
Section 3.2 Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227
Section 6.1 Finite Abelian Groups . . . . . . . . . . . . . . . . . . . 473
Section 7.1 Prime Ideals and Maximal Ideals . . . . . . . . . . . . . 516
Linear Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407
Translation into Group Theory . . . . . . . . . . . . . . . . . . . 460


Equivalence Relations . . . . . . . . . . . . . . . . . . . . . . . . 96

Section 3.9 Officers, Magic, Fertilizer, and Horizons . . . . . . . . . 305

Chapter 4 Linear Algebra . . . . . . . . . . . . . . . . . . . . . 321
Section 3.7 Irreducibility . . . . . . . . . . . . . . . . . . . . . . . . 278
Horizons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317
현대대수학 추상대수학 교재에 대한 해결책입니다. 목차 부분은 실제 solution의 content부분을 복사해서 첨부한 것입니다.
Prentice Hall
Preface to the Third Edition . . . . . . . . . . . . . . . . . . . . . viii
Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Section 1.6 Dates and Days . . . . . . . . . . . . . . . . . . . . . . 72
Generalized Division Algorithm . . . . . . . . . . . . . . . . . . 564

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Section 5.3 Epilog . . . . . . . . . . . . . . . . . . . . . . . . . . . 469
다. Section 3.8 Quotient Rings and Finite Fields . . . . . . . . . . . . . 288
Section 7.4 Varieties . . . . . . . . . . . . . . . . . . . . . . . . . . 538


Appendix A Inequalities . . . . . . . . . . . . . . . . . . . . . . . 581

Appendix B Pseudocodes . . . . . . . . . . . . . . . . . . . . . . 583
Section 2.5 Homomorphisms . . . . . . . . . . . . . . . . . . . . . . 155
Section 3.1 First Properties . . . . . . . . . . . . . . . . . . . . . . . 214
Joseph J. Rotman, A-2646_01_.jpg Joseph J. Rotman, A-2646_02_.jpg Joseph J. Rotman, A-2646_03_.jpg Joseph J. Rotman, A-2646_04_.jpg Joseph J. Rotman, A-2646_05_.jpg
Section 5.2 Insolvability of the General Quintic . . . . . . . . . . . . 447
CONTENTS vii
Section 1.4 The Fundamental Theorem of Arithmetic . . . . . . . . . 53
Contents
Magic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310
Gaussian Elimination . . . . . . . . . . . . . . . . . . . . . . . . 345

Section 2.4 Subgroups and Lagrange’s Theorem . . . . . . . . . . . 144
Chapter 5 Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . 430
Hints for Selected Exercises . . . . . . . . . . . . . . . . . . . . . 587

vi CONTENTS
v

Section 7.2 Unique Factorization . . . . . . . . . . . . . . . . . . . . 522
A First Course in Abstract Algebra With Applications
Block Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400
Section 3.4 Homomorphisms . . . . . . . . . . . . . . . . . . . . . . 240
Chapter 1 Number Theory . . . . . . . . . . . . . . . . . . . . . 1


Section 4.5 Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . 400
<교재 상세 정보>
Section 4.3 Linear Transformations . . . . . . . . . . . . . . . . . . 367

Section 2.8 Counting with Groups . . . . . . . . . . . . . . . . . . . 205
Section 4.2 Euclidean Constructions . . . . . . . . . . . . . . . . . . 354
Section 7.3 Noetherian Rings . . . . . . . . . . . . . . . . . . . . . 532
Fertilizer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314
Gr¨obner Bases . . . . . . . . . . . . . . . . . . . . . . . . . . . . 569
Joseph J. Rotman
Chapter 2 Groups I . . . . . . . . . . . . . . . . . . . . . . . . . . 80
3rd edition
Section 2.2 Permutations . . . . . . . . . . . . . . . . . . . . . . . . 103

Chapter 3 Commutative Rings I . . . . . . . . . . . . . . . . . 214

Section 5.1 Classical Formulas . . . . . . . . . . . . . . . . . . . . . 430

Section 3.6 Unique Factorization . . . . . . . . . . . . . . . . . . . . 272
Special Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i
목차 부분은 실제 solution의 content부분을 복사해서 첨부한 것입니다.
Chapter 7 Commutative Rings II . . . . . . . . . . . . . . . . . 516
Section 3.5 Greatest Common Divisors . . . . . . . . . . . . . . . . 250
추상대수학
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Section 2.6 Quotient Groups . . . . . . . . . . . . . . . . . . . . . . 168
Section 1.5 Congruences . . . . . . . . . . . . . . . . . . . . . . . . 57
Section 3.3 Polynomials . . . . . . . . . . . . . . . . . . . . . . . . 232
Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134


Section 1.3 Greatest Common Divisors . . . . . . . . . . . . . . . . 34
Monomial Orders . . . . . . . . . . . . . . . . . . . . . . . . . . 557
Chapter 6 Groups II . . . . . . . . . . . . . . . . . . . . . . . . . 473

Section 4.1 Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . 321
Section 4.4 Determinants . . . . . . . . . . . . . . . . . . . . . . . . 385


순서
Section 2.1 Some Set Theory . . . . . . . . . . . . . . . . . . . . . . 80


현대대수학(추상대수학) 3판 해결책 Joseph J. Rotman, A First Course in Abstract Algebra With Applications, 3rd ed.,

Formulas and Solvability by Radicals . . . . . . . . . . . . . . . 458
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 604
Vi`ete’s Cubic Formula . . . . . . . . . . . . . . . . . . . . . . . 443
레포트 > 자연과학계열
Section 2.3 Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Section 6.3 Ornamental Symmetry . . . . . . . . . . . . . . . . . . . 498
Section 2.7 Group Actions . . . . . . . . . . . . . . . . . . . . . . . 189
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 601
Section 6.2 The Sylow Theorems . . . . . . . . . . . . . . . . . . . 487

Officers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
Euclidean Rings . . . . . . . . . . . . . . . . . . . . . . . . . . . 265

Section 7.5 Gr¨obner Bases . . . . . . . . . . . . . . . . . . . . . . . 556
<교재 상세 정보> Joseph J. Rotman A First Course in Abstract Algebra With Applications 3rd edition Prentice Hall 현대대수학 추상대수학 교재에 대한 솔루션입니다.
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