Applied Abstract Algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1998
|
| Edition: | Second Edition |
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Algebra isbeautiful.Itis sobeautifulthatmanypeople forget that algebra canbe veryusefulas well.Itisstill the casethatstudentswho have studied mathematics quite often enter graduate studies or enter employment without much knowledge of the applicability of the algebraic structures they have studied. The aim of this book is to convey to senior undergraduate students, graduate students, and lecturers/Instructors the fact that concepts ofab stractalgebra encounteredpreviously in a first algebra course can be used in many areas of applications. Of course, in order to apply algebra, we first need some theory which then can be applied. Hence we tried to blend the theory and its applications so that the reader can experience both parts. This book assumes knowledge ofthe material covered in a course on linearalgebra and, preferably, a first course in (abstract) algebra covering the basics ofgroups, rings, and fields, although this book will provide the necessary definitions and briefsummaries of the main results that will be required from such a course in algebra. This second edition includes major changes to the first edition, pub lished in 1984: it contains corrections and, as we believe, substantial improvements to the first four chapters of the first edition. It includes a largely new chapter on Cryptology (Chapter 5) and an enlarged chapter on Applications of Groups (Chapter 6). An extensive Chapter 7has been added to survey other (mostly quite recent) applications, many ofwhich vii ·.. Preface Vll1 ~~~--------------------- were not included in the first edition. An interdependence chart ofthe material in the sections is presented below |
| Physical Description: | 1 Online-Ressource (XVI, 488 p) |
| ISBN: | 9781475729412 9781441931177 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-2941-2 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042421400 | ||
| 003 | DE-604 | ||
| 005 | 20230120 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1998 |||| o||u| ||||||eng d | ||
| 020 | |a 9781475729412 |c Online |9 978-1-4757-2941-2 | ||
| 020 | |a 9781441931177 |c Print |9 978-1-4419-3117-7 | ||
| 024 | 7 | |a 10.1007/978-1-4757-2941-2 |2 doi | |
| 035 | |a (OCoLC)863945290 | ||
| 035 | |a (DE-599)BVBBV042421400 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 512 |2 23 | |
| 084 | |a 00A05 |2 msc | ||
| 084 | |a 00A69 |2 msc | ||
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Lidl, Rudolf |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applied Abstract Algebra |c by Rudolf Lidl, Günter Pilz |
| 250 | |a Second Edition | ||
| 264 | 1 | |a New York, NY |b Springer New York |c 1998 | |
| 300 | |a 1 Online-Ressource (XVI, 488 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 0172-6056 | |
| 500 | |a Algebra isbeautiful.Itis sobeautifulthatmanypeople forget that algebra canbe veryusefulas well.Itisstill the casethatstudentswho have studied mathematics quite often enter graduate studies or enter employment without much knowledge of the applicability of the algebraic structures they have studied. The aim of this book is to convey to senior undergraduate students, graduate students, and lecturers/Instructors the fact that concepts ofab stractalgebra encounteredpreviously in a first algebra course can be used in many areas of applications. Of course, in order to apply algebra, we first need some theory which then can be applied. Hence we tried to blend the theory and its applications so that the reader can experience both parts. This book assumes knowledge ofthe material covered in a course on linearalgebra and, preferably, a first course in (abstract) algebra covering the basics ofgroups, rings, and fields, although this book will provide the necessary definitions and briefsummaries of the main results that will be required from such a course in algebra. This second edition includes major changes to the first edition, pub lished in 1984: it contains corrections and, as we believe, substantial improvements to the first four chapters of the first edition. It includes a largely new chapter on Cryptology (Chapter 5) and an enlarged chapter on Applications of Groups (Chapter 6). An extensive Chapter 7has been added to survey other (mostly quite recent) applications, many ofwhich vii ·.. Preface Vll1 ~~~--------------------- were not included in the first edition. An interdependence chart ofthe material in the sections is presented below | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Algebraische Struktur |0 (DE-588)4001166-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anwendung |0 (DE-588)4196864-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Universelle Algebra |0 (DE-588)4061777-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Struktur |0 (DE-588)4001166-5 |D s |
| 689 | 0 | 1 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Struktur |0 (DE-588)4001166-5 |D s |
| 689 | 1 | 1 | |a Anwendung |0 (DE-588)4196864-5 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 2 | 1 | |a Anwendung |0 (DE-588)4196864-5 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 689 | 3 | 0 | |a Universelle Algebra |0 (DE-588)4061777-4 |D s |
| 689 | 3 | |8 4\p |5 DE-604 | |
| 700 | 1 | |a Pilz, Günter |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4757-2941-2 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027856817 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804153094412435456 |
|---|---|
| any_adam_object | |
| author | Lidl, Rudolf |
| author_facet | Lidl, Rudolf |
| author_role | aut |
| author_sort | Lidl, Rudolf |
| author_variant | r l rl |
| building | Verbundindex |
| bvnumber | BV042421400 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863945290 (DE-599)BVBBV042421400 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-2941-2 |
| edition | Second Edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04194nmm a2200685zc 4500</leader><controlfield tag="001">BV042421400</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230120 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1998 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781475729412</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4757-2941-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441931177</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4419-3117-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4757-2941-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863945290</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421400</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">00A05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">00A69</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lidl, Rudolf</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applied Abstract Algebra</subfield><subfield code="c">by Rudolf Lidl, Günter Pilz</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVI, 488 p)</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="490" ind1="0" ind2=" "><subfield code="a">Undergraduate Texts in Mathematics</subfield><subfield code="x">0172-6056</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Algebra isbeautiful.Itis sobeautifulthatmanypeople forget that algebra canbe veryusefulas well.Itisstill the casethatstudentswho have studied mathematics quite often enter graduate studies or enter employment without much knowledge of the applicability of the algebraic structures they have studied. The aim of this book is to convey to senior undergraduate students, graduate students, and lecturers/Instructors the fact that concepts ofab stractalgebra encounteredpreviously in a first algebra course can be used in many areas of applications. Of course, in order to apply algebra, we first need some theory which then can be applied. Hence we tried to blend the theory and its applications so that the reader can experience both parts. This book assumes knowledge ofthe material covered in a course on linearalgebra and, preferably, a first course in (abstract) algebra covering the basics ofgroups, rings, and fields, although this book will provide the necessary definitions and briefsummaries of the main results that will be required from such a course in algebra. This second edition includes major changes to the first edition, pub lished in 1984: it contains corrections and, as we believe, substantial improvements to the first four chapters of the first edition. It includes a largely new chapter on Cryptology (Chapter 5) and an enlarged chapter on Applications of Groups (Chapter 6). An extensive Chapter 7has been added to survey other (mostly quite recent) applications, many ofwhich vii ·.. Preface Vll1 ~~~--------------------- were not included in the first edition. An interdependence chart ofthe material in the sections is presented below</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="650" ind1="0" ind2="7"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Universelle Algebra</subfield><subfield code="0">(DE-588)4061777-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" 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="2" ind2="1"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Universelle Algebra</subfield><subfield code="0">(DE-588)4061777-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pilz, Günter</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4757-2941-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856817</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042421400 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475729412 9781441931177 |
| issn | 0172-6056 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856817 |
| oclc_num | 863945290 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVI, 488 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Undergraduate Texts in Mathematics |
| spelling | Lidl, Rudolf Verfasser aut Applied Abstract Algebra by Rudolf Lidl, Günter Pilz Second Edition New York, NY Springer New York 1998 1 Online-Ressource (XVI, 488 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 Algebra isbeautiful.Itis sobeautifulthatmanypeople forget that algebra canbe veryusefulas well.Itisstill the casethatstudentswho have studied mathematics quite often enter graduate studies or enter employment without much knowledge of the applicability of the algebraic structures they have studied. The aim of this book is to convey to senior undergraduate students, graduate students, and lecturers/Instructors the fact that concepts ofab stractalgebra encounteredpreviously in a first algebra course can be used in many areas of applications. Of course, in order to apply algebra, we first need some theory which then can be applied. Hence we tried to blend the theory and its applications so that the reader can experience both parts. This book assumes knowledge ofthe material covered in a course on linearalgebra and, preferably, a first course in (abstract) algebra covering the basics ofgroups, rings, and fields, although this book will provide the necessary definitions and briefsummaries of the main results that will be required from such a course in algebra. This second edition includes major changes to the first edition, pub lished in 1984: it contains corrections and, as we believe, substantial improvements to the first four chapters of the first edition. It includes a largely new chapter on Cryptology (Chapter 5) and an enlarged chapter on Applications of Groups (Chapter 6). An extensive Chapter 7has been added to survey other (mostly quite recent) applications, many ofwhich vii ·.. Preface Vll1 ~~~--------------------- were not included in the first edition. An interdependence chart ofthe material in the sections is presented below Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s Angewandte Mathematik (DE-588)4142443-8 s 1\p DE-604 Anwendung (DE-588)4196864-5 s 2\p DE-604 Algebra (DE-588)4001156-2 s 3\p DE-604 Universelle Algebra (DE-588)4061777-4 s 4\p DE-604 Pilz, Günter Sonstige oth https://doi.org/10.1007/978-1-4757-2941-2 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lidl, Rudolf Applied Abstract Algebra Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd Algebra (DE-588)4001156-2 gnd Anwendung (DE-588)4196864-5 gnd Universelle Algebra (DE-588)4061777-4 gnd Angewandte Mathematik (DE-588)4142443-8 gnd |
| subject_GND | (DE-588)4001166-5 (DE-588)4001156-2 (DE-588)4196864-5 (DE-588)4061777-4 (DE-588)4142443-8 |
| title | Applied Abstract Algebra |
| title_auth | Applied Abstract Algebra |
| title_exact_search | Applied Abstract Algebra |
| title_full | Applied Abstract Algebra by Rudolf Lidl, Günter Pilz |
| title_fullStr | Applied Abstract Algebra by Rudolf Lidl, Günter Pilz |
| title_full_unstemmed | Applied Abstract Algebra by Rudolf Lidl, Günter Pilz |
| title_short | Applied Abstract Algebra |
| title_sort | applied abstract algebra |
| topic | Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd Algebra (DE-588)4001156-2 gnd Anwendung (DE-588)4196864-5 gnd Universelle Algebra (DE-588)4061777-4 gnd Angewandte Mathematik (DE-588)4142443-8 gnd |
| topic_facet | Mathematics Algebra Mathematik Algebraische Struktur Anwendung Universelle Algebra Angewandte Mathematik |
| url | https://doi.org/10.1007/978-1-4757-2941-2 |
| work_keys_str_mv | AT lidlrudolf appliedabstractalgebra AT pilzgunter appliedabstractalgebra |