MARC details
| 000 -LEADER |
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03332nam a22004935i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-1-4757-4034-9 |
| 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 |
20210118114613.0 |
| 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 |
130128s1988 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781475740349 |
| -- |
978-1-4757-4034-9 |
| 024 ## - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-1-4757-4034-9 |
| Source of number or code |
doi |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA174-183 |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBG |
| Source |
bicssc |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT002010 |
| Source |
bisacsh |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBG |
| Source |
thema |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.2 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Armstrong, Mark A. |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 245 ## - TITLE STATEMENT |
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| Title |
Groups and Symmetry |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Mark A. Armstrong. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 1988. |
| 264 ## - |
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New York, NY : |
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Springer New York : |
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Imprint: Springer, |
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1988. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XI, 187 p. |
| Other physical details |
online resource. |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Undergraduate Texts in Mathematics, |
| International Standard Serial Number |
0172-6056 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1 Symmetries of the Tetrahedron -- 2 Axioms -- 3 Numbers -- 4 Dihedral Groups -- 5 Subgroups and Generators -- 6 Permutations -- 7 Isomorphisms -- 8 Plato’s Solids and Cayley’s Theorem -- 10 Products -- 11 Lagrange’s Theorem -- 12 Partitions -- 13 Cauchy’s Theorem -- 14 Conjugacy -- 15 Quotient Groups -- 16 Homomorphisms -- 17 Actions, Orbits, and Stabilizers -- 18 Counting Orbits -- 19 Groups -- 20 The Sylow Theorems -- 21 Finitely Generated Abelian Groups -- 22 Row and Column Operations -- 23 Automorphisms -- 24 The Euclidean Group -- 25 Lattices and Point Groups -- 26 Wallpaper Patterns -- 27 Free Groups and Presentations -- 28 Trees and the Nielsen-Schreier Theorem. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Group theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Group Theory and Generalizations. |
| -- |
https://scigraph.springernature.com/ontologies/product-market-codes/M11078 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 ## - HOST ITEM ENTRY |
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| Title |
Springer Nature eBook |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9781441930859 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9780387966755 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9781475740356 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Undergraduate Texts in Mathematics, |
| -- |
0172-6056 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4757-4034-9">https://doi.org/10.1007/978-1-4757-4034-9</a> |
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ZDB-2-SMA |
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ZDB-2-SXMS |
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ZDB-2-BAE |
