Essentials of Modern Algebra:
This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many the...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Herndon
Mercury Learning and Information
[2018]
|
Schlagworte: | |
Online-Zugang: | DE-1046 DE-1043 DE-858 DE-859 DE-860 DE-739 Volltext |
Zusammenfassung: | This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of "projects" at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to reinforce previous concepts.Features: A logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings between objects, and "ients of objectsFollows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomialsProvides numerous examples, exercises, and the inclusion of "projects" in each chapterAdds more, varied examples to use when illustrating ideas such as order of elements, direct products, and subgroupsIncludes new material on the history of mathematics with vignettes of mathematicians Provides instructor's resources with solutions and PowerPoint slides for use as a textbook |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Nov 2023) |
Beschreibung: | 1 Online-Ressource (356 Seiten) |
ISBN: | 9781683922810 |
DOI: | 10.1515/9781683922810 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV049580637 | ||
003 | DE-604 | ||
007 | cr|uuu---uuuuu | ||
008 | 240222s2018 xx o|||| 00||| eng d | ||
020 | |a 9781683922810 |9 978-1-68392-281-0 | ||
024 | 7 | |a 10.1515/9781683922810 |2 doi | |
035 | |a (ZDB-23-DGG)9781683922810 | ||
035 | |a (OCoLC)1100969814 | ||
035 | |a (DE-599)BVBBV049580637 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-1043 |a DE-1046 |a DE-858 |a DE-859 |a DE-860 |a DE-739 | ||
082 | 0 | |a 512.9 |2 23 | |
084 | |a SK 200 |0 (DE-625)143223: |2 rvk | ||
100 | 1 | |a Miller, Cheryl Chute |e Verfasser |4 aut | |
245 | 1 | 0 | |a Essentials of Modern Algebra |c Cheryl Chute Miller |
264 | 1 | |a Herndon |b Mercury Learning and Information |c [2018] | |
264 | 4 | |c © 2018 | |
300 | |a 1 Online-Ressource (356 Seiten) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Nov 2023) | ||
520 | |a This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of "projects" at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to reinforce previous concepts.Features: A logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings between objects, and "ients of objectsFollows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomialsProvides numerous examples, exercises, and the inclusion of "projects" in each chapterAdds more, varied examples to use when illustrating ideas such as order of elements, direct products, and subgroupsIncludes new material on the history of mathematics with vignettes of mathematicians Provides instructor's resources with solutions and PowerPoint slides for use as a textbook | ||
546 | |a In English | ||
650 | 7 | |a MATHEMATICS / Algebra / Abstract |2 bisacsh | |
650 | 4 | |a Algebra | |
650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
689 | 0 | |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781683922353 |
856 | 4 | 0 | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-23-DGG | ||
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034925569 | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-1046 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-1043 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-858 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-859 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-860 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781683922810?locatt=mode:legacy |l DE-739 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1824508242664882176 |
---|---|
adam_text | |
adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | Miller, Cheryl Chute |
author_facet | Miller, Cheryl Chute |
author_role | aut |
author_sort | Miller, Cheryl Chute |
author_variant | c c m cc ccm |
building | Verbundindex |
bvnumber | BV049580637 |
classification_rvk | SK 200 |
collection | ZDB-23-DGG |
ctrlnum | (ZDB-23-DGG)9781683922810 (OCoLC)1100969814 (DE-599)BVBBV049580637 |
dewey-full | 512.9 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.9 |
dewey-search | 512.9 |
dewey-sort | 3512.9 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
doi_str_mv | 10.1515/9781683922810 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zc 4500</leader><controlfield tag="001">BV049580637</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">240222s2018 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781683922810</subfield><subfield code="9">978-1-68392-281-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781683922810</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781683922810</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1100969814</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV049580637</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1043</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-858</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.9</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 200</subfield><subfield code="0">(DE-625)143223:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Miller, Cheryl Chute</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Essentials of Modern Algebra</subfield><subfield code="c">Cheryl Chute Miller</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Herndon</subfield><subfield code="b">Mercury Learning and Information</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (356 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Nov 2023)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of "projects" at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to reinforce previous concepts.Features: A logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings between objects, and "ients of objectsFollows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomialsProvides numerous examples, exercises, and the inclusion of "projects" in each chapterAdds more, varied examples to use when illustrating ideas such as order of elements, direct products, and subgroupsIncludes new material on the history of mathematics with vignettes of mathematicians Provides instructor's resources with solutions and PowerPoint slides for use as a textbook</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Abstract</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781683922353</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034925569</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-1046</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-1043</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-858</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-859</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-860</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781683922810?locatt=mode:legacy</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV049580637 |
illustrated | Not Illustrated |
index_date | 2024-07-03T23:32:02Z |
indexdate | 2025-02-19T17:37:30Z |
institution | BVB |
isbn | 9781683922810 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034925569 |
oclc_num | 1100969814 |
open_access_boolean | |
owner | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-739 |
owner_facet | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-739 |
physical | 1 Online-Ressource (356 Seiten) |
psigel | ZDB-23-DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG |
publishDate | 2018 |
publishDateSearch | 2018 |
publishDateSort | 2018 |
publisher | Mercury Learning and Information |
record_format | marc |
spelling | Miller, Cheryl Chute Verfasser aut Essentials of Modern Algebra Cheryl Chute Miller Herndon Mercury Learning and Information [2018] © 2018 1 Online-Ressource (356 Seiten) txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Nov 2023) This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of "projects" at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to reinforce previous concepts.Features: A logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings between objects, and "ients of objectsFollows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomialsProvides numerous examples, exercises, and the inclusion of "projects" in each chapterAdds more, varied examples to use when illustrating ideas such as order of elements, direct products, and subgroupsIncludes new material on the history of mathematics with vignettes of mathematicians Provides instructor's resources with solutions and PowerPoint slides for use as a textbook In English MATHEMATICS / Algebra / Abstract bisacsh Algebra Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s DE-604 Erscheint auch als Druck-Ausgabe 9781683922353 https://doi.org/10.1515/9781683922810?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Miller, Cheryl Chute Essentials of Modern Algebra MATHEMATICS / Algebra / Abstract bisacsh Algebra Algebra (DE-588)4001156-2 gnd |
subject_GND | (DE-588)4001156-2 |
title | Essentials of Modern Algebra |
title_auth | Essentials of Modern Algebra |
title_exact_search | Essentials of Modern Algebra |
title_exact_search_txtP | Essentials of Modern Algebra |
title_full | Essentials of Modern Algebra Cheryl Chute Miller |
title_fullStr | Essentials of Modern Algebra Cheryl Chute Miller |
title_full_unstemmed | Essentials of Modern Algebra Cheryl Chute Miller |
title_short | Essentials of Modern Algebra |
title_sort | essentials of modern algebra |
topic | MATHEMATICS / Algebra / Abstract bisacsh Algebra Algebra (DE-588)4001156-2 gnd |
topic_facet | MATHEMATICS / Algebra / Abstract Algebra |
url | https://doi.org/10.1515/9781683922810?locatt=mode:legacy |
work_keys_str_mv | AT millercherylchute essentialsofmodernalgebra |