Verfügbarkeit: Algebraic structures

Algebraic structures:

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Bibliographische Detailangaben
1. Verfasser:	Lang, Serge 1927-2005 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Reading, Mass. [u.a.] Addison-Wesley 1968
Ausgabe:	2. print.
Schriftenreihe:	Addison-Wesley series in mathematics
Schlagworte:	Algebra, Abstract Algebraische Struktur Algebra Einführung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	VIII, 173 S.
ISBN:	0201041731

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Chapter I The Integers 1. Terminology of sets 1 2. Basic properties 2 3. Greatest common divisor 5 4. Unique factorization 6 5. Equivalence relations and congruences 8 Chapter II Groups 1. Groups and examples 12 2. Mappings 17 3. Homomorphisms 21 4. Cosets and normal subgroups 26 5. Permutation groups 32 6. Cyclic groups 39 Chapter III Rings 1. Rings 43 2. Ideals 46 3. Homomorphisms 48 4. Quotient fields 54 Chapter IV Polynomials 1. Euclidean algorithm 58 2. Greatest common divisor 63 3. Unique factorization 65 4. Partial fractions 70 5. Polynomials over the integers 76 6. Transcendental elements 79 7. Polynomials in several variables 84 vii Viii CONTENTS Chaptee V Vector Spaces and Modules 1. Vector spaces and bases 86 2. Dimension of a vector space 92 3. Modules 94 Chapter VI Field Theory 1. Algebraic extensions 102 2. Embeddings 105 3. Splitting fields 110 4. Fundamental theorem Ill 5. Quadratic and cubic extensions 113 6. Solvability by radicals 115 7. Infinite extensions 118 Chapter VII The Real and Complex Numbers 1. Ordering of rings 120 2. Preliminaries 123 3. Construction of the real numbers 126 4. Decimal expansions 133 5. The complex numbers 136 Chapter VIII Sets 1. More terminology 141 2. Zorn s lemma 144 3. Cardinal numbers 148 4. Well-ordering 158 5. Proof of Zorn s lemma 160 Appendix 1. The natural numbers 164 2. The integers 168 3. Infinite sets 169 Index 171
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spelling	Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Algebraic structures Serge Lang 2. print. Reading, Mass. [u.a.] Addison-Wesley 1968 VIII, 173 S. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley series in mathematics Algebra, Abstract Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebraische Struktur (DE-588)4001166-5 s DE-604 Algebra (DE-588)4001156-2 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003557353&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Lang, Serge 1927-2005 Algebraic structures Algebra, Abstract Algebraische Struktur (DE-588)4001166-5 gnd Algebra (DE-588)4001156-2 gnd
subject_GND	(DE-588)4001166-5 (DE-588)4001156-2 (DE-588)4151278-9
title	Algebraic structures
title_auth	Algebraic structures
title_exact_search	Algebraic structures
title_full	Algebraic structures Serge Lang
title_fullStr	Algebraic structures Serge Lang
title_full_unstemmed	Algebraic structures Serge Lang
title_short	Algebraic structures
title_sort	algebraic structures
topic	Algebra, Abstract Algebraische Struktur (DE-588)4001166-5 gnd Algebra (DE-588)4001156-2 gnd
topic_facet	Algebra, Abstract Algebraische Struktur Algebra Einführung
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