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Modern algebra: an introduction

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Bibliographic Details
Main Author:	Durbin, John R. 1935- (Author)
Format:	Book
Language:	English
Published:	Hoboken, NJ Wiley 2009
Edition:	6. ed.
Subjects:	Algebra Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 335 S. Ill., graph. Darst.
ISBN:	0470384433 9780470384435

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adam_text	IMAGE 1 INTRODUCTION P. 1 MAPPINGS AND OPERATIONS P. 9 MAPPINGS P. 9 COMPOSITION. INVERTIBLE MAPPINGS P. 15 OPERATIONS P. 19 COMPOSITION AS AN OPERATION P. 25 INTRODUCTION TO GROUPS P. 30 DEFINITION AND EXAMPLES P. 30 PERMUTATIONS P. 34 SUBGROUPS P. 41 GROUPS AND SYMMETRY P. 47 EQUIVALENCE. CONGRUENCE. DIVISIBILITY P. 52 EQUIVALENCE RELATIONS P. 52 CONGRUENCE. THE DIVISION ALGORITHM P. 57 INTEGERS MODULO N P. 61 GREATEST COMMON DIVISORS. THE EUCLIDEAN ALGORITHM P. 65 FACTORIZATION. EULER S PHI-FUNCTION P. 70 GROUPS P. 75 ELEMENTARY PROPERTIES P. 75 GENERATORS. DIRECT PRODUCTS P. 81 COSETS P. 85 LAGRANGE S THEOREM. CYCLIC GROUPS P. 88 ISOMORPHISM P. 93 MORE ON ISOMORPHISM P. 98 CAYLEY S THEOREM P. 102 RSA ALGORITHM P. 105 GROUP HOMOMORPHISMS P. 106 HOMOMORPHISMS OF GROUPS. KERNELS P. 106 QUOTIENT GROUPS P. 110 THE FUNDAMENTAL HOMOMORPHISM THEOREM P. 114 INTRODUCTION TO RINGS P. 120 DEFINITION AND EXAMPLES P. 120 INTEGRAL DOMAINS. SUBRINGS P. 125 FIELDS P. 128 ISOMORPHISM. CHARACTERISTIC P. 131 THE FAMILIAR NUMBER SYSTEMS P. 137 ORDERED INTEGRAL DOMAINS P. 137 THE INTEGERS P. 140 FIELD OF QUOTIENTS. THE FIELD OF RATIONAL NUMBERS P. 142 ORDERED FIELDS. THE FIELD OF REAL NUMBERS P. 146 THE FIELD OF COMPLEX NUMBERS P. 149 IMAGE 2 COMPLEX ROOTS OF UNITY P. 154 POLYNOMIALS P. 160 DEFINITION AND ELEMENTARY PROPERTIES P. 160 APPENDIX TO SECTION 34 P. 162 THE DIVISION ALGORITHM P. 165 FACTORIZATION OF POLYNOMIALS P. 169 UNIQUE FACTORIZATION DOMAINS P. 173 QUOTIENT RINGS P. 178 HOMOMORPHISMS OF RINGS. IDEALS P. 178 QUOTIENT RINGS P. 182 QUOTIENT RINGS OF F[X] P. 184 FACTORIZATION AND IDEALS P. 187 GALOIS THEORY: OVERVIEW P. 193 SIMPLE EXTENSIONS. DEGREE P. 194 ROOTS OF POLYNOMIALS P. 198 FUNDAMENTAL THEOREM: INTRODUCTION P. 203 GALOIS THEORY P. 207 ALGEBRAIC EXTENSIONS P. 207 SPLITTING FIELDS. GALOIS GROUPS P. 210 SEPARABILITY AND NORMALITY P. 214 FUNDAMENTAL THEOREM OF GALOIS THEORY P. 218 SOLVABILITY BY RADICALS P. 219 FINITE FIELDS P. 223 GEOMETRIC CONSTRUCTIONS P. 229 THREE FAMOUS PROBLEMS P. 229 CONSTRUCTIBLE NUMBERS P. 233 IMPOSSIBLE CONSTRUCTIONS P. 234 SOLVABLE AND ALTERNATING GROUPS P. 237 ISOMORPHISM THEOREMS AND SOLVABLE GROUPS P. 237 ALTERNATING GROUPS P. 240 APPLICATIONS OF PERMUTATION GROUPS P. 243 GROUPS ACTING ON SETS P. 243 BURNSIDE S COUNTING THEOREM P. 247 SYLOW S THEOREM P. 252 SYMMETRY P. 256 FINITE SYMMETRY GROUPS P. 256 INFINITE TWO-DIMENSIONAL SYMMETRY GROUPS P. 263 ON CRYSTALLOGRAPHIC GROUPS P. 267 THE EUCLIDEAN GROUP P. 274 LATTICES AND BOOLEAN ALGEBRAS P. 279 PARTIALLY ORDERED SETS P. 279 IMAGE 3 LATTICES P. 283 BOOLEAN ALGEBRAS P. 287 FINITE BOOLEAN ALGEBRAS P. 291 SETS P. 296 PROOFS P. 299 MATHEMATICAL INDUCTION P. 304 LINEAR ALGEBRA P. 307 SOLUTIONS TO SELECTED PROBLEMS P. 312 PHOTO CREDIT LIST P. 326 INDEX OF NOTATION P. 327 INDEX P. 330 TABLE OF CONTENTS PROVIDED BY BLACKWELL S BOOK SERVICES AND R.R. BOWKER. USED WITH PERMISSION.
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author	Durbin, John R. 1935-
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genre_facet	Lehrbuch
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illustrated	Illustrated
indexdate	2024-07-09T23:23:41Z
institution	BVB
isbn	0470384433 9780470384435
language	English
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physical	XIII, 335 S. Ill., graph. Darst.
publishDate	2009
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spelling	Durbin, John R. 1935- Verfasser (DE-588)142433721 aut Modern algebra an introduction John R. Durbin 6. ed. Hoboken, NJ Wiley 2009 XIII, 335 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022561004&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Durbin, John R. 1935- Modern algebra an introduction Algebra (DE-588)4001156-2 gnd
subject_GND	(DE-588)4001156-2 (DE-588)4123623-3
title	Modern algebra an introduction
title_auth	Modern algebra an introduction
title_exact_search	Modern algebra an introduction
title_full	Modern algebra an introduction John R. Durbin
title_fullStr	Modern algebra an introduction John R. Durbin
title_full_unstemmed	Modern algebra an introduction John R. Durbin
title_short	Modern algebra
title_sort	modern algebra an introduction
title_sub	an introduction
topic	Algebra (DE-588)4001156-2 gnd
topic_facet	Algebra Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022561004&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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