MARC details
| 000 -LEADER |
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| fixed length control field |
04971nam a22004935i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-1-4612-6101-8 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210921163821.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
121227s1974 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461261018 |
| -- |
978-1-4612-6101-8 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-1-4612-6101-8 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA150-272 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBF |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT002000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBF |
| Source |
thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hungerford, Thomas W. |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT |
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| Title |
Algebra |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Thomas W. Hungerford. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 1974. |
| 264 #1 - |
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| -- |
New York, NY : |
| -- |
Springer New York : |
| -- |
Imprint: Springer, |
| -- |
1974. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XXIV, 504 p. |
| Other physical details |
online resource. |
| 336 ## - |
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| -- |
text |
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txt |
| -- |
rdacontent |
| 337 ## - |
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| -- |
computer |
| -- |
c |
| -- |
rdamedia |
| 338 ## - |
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| -- |
online resource |
| -- |
cr |
| -- |
rdacarrier |
| 347 ## - |
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| -- |
text file |
| -- |
PDF |
| -- |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate Texts in Mathematics, |
| International Standard Serial Number |
0072-5285 ; |
| Volume number/sequential designation |
73 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction: Prerequisites and Preliminaries -- 1. Logic -- 2. Sets and Classes -- 3. Functions -- 4. Relations and Partitions -- 5. Products -- 6. The Integers -- 7. The Axiom of Choice, Order and Zorn's Lemma -- 8. Cardinal Numbers -- I: Groups -- 1. Semigroups, Monoids and Groups -- 2. Homomorphisms and Subgroups -- 3. Cyclic Groups -- 4. Cosets and Counting -- 5. Normality, Quotient Groups, and Homomorphisms -- 6. Symmetric, Alternating, and Dihedral Groups -- 7. Categories: Products, Coproducts, and Free Objects -- 8. Direct Products and Direct Sums -- 9. Free Groups, Free Products, Generators & Relations -- II: The Structure of Groups -- 1. Free Abelian Groups -- 2. Finitely Generated Abelian Groups -- 3. The Kruli-Schmidt Theorem -- 4. The Action of a Group on a Set -- 5. The Sylow Theorems -- 6. Classification of Finite Groups -- 7. Nilpotent and Solvable Groups -- 8. Normal and Subnormal Series -- III: Rings -- 1. Rings and Homomorphisms -- 2. Ideals -- 3. Factorization in Commutative Rings -- 4. Rings of Quotients and Localization -- 5. Rings of Polynomials and Formal Power Series -- 6. Factorization in Polynomial Rings -- IV: Modules -- 1. Modules, Homomorphisms and Exact Sequences -- 2. Free Modules and Vector Spaces -- 3. Projective and Injective Modules -- 4. Horn and Duality -- 5. Tensor Products -- 6. Modules over a Principal Ideal Domain -- 7. Algebras -- V: Fields and Galois Theory -- 1. Field Extensions -- 2. The Fundamental Theorem -- 3. Splitting Fields, Algebraic Closure and Normality -- 4. The Galois Group of a Polynomial -- 5. Finite Fields -- 6. Separability -- 7. Cyclic Extensions -- 8. Cyclotomic Extensions -- 9. Radical Extensions -- VI: The Structure of Fields -- 1. Transcendence Bases -- 2. Linear Disjointness and Separability -- VII: Linear Algebra -- 1. Matrices and Maps -- 2. Rank and Equivalence -- 3. Determinants -- 4. Decomposition of a Single Linear Transformation and Similarity -- 5. The Characteristic Polynomial, Eigenvectors and Eigenvalues -- VIII: Commutative Rings and Modules -- 1. Chain Conditions -- 2. Prime and Primary Ideals -- 3. Primary Decomposition -- 4. Noetherian Rings and Modules -- 5. Ring Extensions -- 6. Dedekind Domains -- 7. The Hilbert Nullstellensatz -- IX: The Structure of Rings -- 1. Simple and Primitive Rings -- 2. The Jacobson Radical -- 3. Semisimple Rings -- 4. The Prime Radical; Prime and Semiprime Rings -- 5. Algebras -- 6. Division Algebras -- X: Categories -- 1. Functors and Natural Transformations -- 2. Adjoint Functors -- 3. Morphisms -- List of Symbols. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebra. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebra. |
| -- |
https://scigraph.springernature.com/ontologies/product-market-codes/M11000 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9781461261032 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9780387905181 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781461261025 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Graduate Texts in Mathematics, |
| -- |
0072-5285 ; |
| Volume number/sequential designation |
73 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4612-6101-8">https://doi.org/10.1007/978-1-4612-6101-8</a> |
| 912 ## - |
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ZDB-2-SMA |
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ZDB-2-SXMS |
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ZDB-2-BAE |
