An invitation to abstract mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461466352 9781461466369 |
| DOI: | 10.1007/978-1-4614-6636-9 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV041078184 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 130610s2013 |||| o||u| ||||||eng d | ||
| 015 | |a 13,O06 |2 dnb | ||
| 016 | 7 | |a 1034428659 |2 DE-101 | |
| 020 | |a 9781461466352 |9 978-1-4614-6635-2 | ||
| 020 | |a 9781461466369 |c Online |9 978-1-4614-6636-9 | ||
| 024 | 7 | |a 10.1007/978-1-4614-6636-9 |2 doi | |
| 024 | 3 | |a 9781461466369 | |
| 035 | |a (OCoLC)864090117 | ||
| 035 | |a (DE-599)DNB1034428659 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-20 |a DE-703 |a DE-19 |a DE-91 |a DE-739 |a DE-384 |a DE-83 | ||
| 082 | 0 | |a 004 | |
| 084 | |a MAT 000 |2 stub | ||
| 084 | |a 004 |2 sdnb | ||
| 100 | 1 | |a Bajnok, Béla |d 1961- |e Verfasser |0 (DE-588)1035619946 |4 aut | |
| 245 | 1 | 0 | |a An invitation to abstract mathematics |c Béla Bajnok |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2013 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate texts in mathematics | |
| 650 | 0 | 7 | |a Mathematikunterricht |0 (DE-588)4037949-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Methode |0 (DE-588)4038971-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 1 | |a Methode |0 (DE-588)4038971-6 |D s |
| 689 | 0 | 2 | |a Mathematikunterricht |0 (DE-588)4037949-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4614-6636-9 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026055023 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l UBA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-6636-9 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804150447772008448 |
|---|---|
| adam_text | AN INVITATION TO ABSTRACT MATHEMATICS
/ BAJNOK, BELA
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE TO INSTRUCTORS
PREFACE TO STUDENTS
ACKNOWLEDGMENTS
I WHAT S MATHEMATICS
1 LET S PLAY A GAME!
2 WHAT S THE NAME OF THE GAME?
3 HOW TO MAKE A STATEMENT?- 4 WHAT S TRUE IN MATHEMATICS?
5 FAMOUS CLASSICAL THEOREMS
6 RECENT PROGRESS IN MATHEMATICS
II HOW TO SOLVE IT?
7 LET S BE LOGICAL!
8 SETTING EXAMPLES
9 QUANTIFIER MECHANICS
10 MATHEMATICAL STRUCTURES
11 WORKING IN THE FIELDS (AND OTHER STRUCTURES)
12 UNIVERSAL PROOFS
13 THE DOMINO EFFECT
14 MORE DOMINO GAMES
15 EXISTENTIAL PROOFS
16 A CORNUCOPIA OF FAMOUS PROBLEMS
III ADVANCED MATH FOR BEGINNERS
17 GOOD RELATIONS
18 ORDER, PLEASE!
19 LET S BE FUNCTIONAL!
20 NOW THAT S THE LIMIT!
21 SIZING IT UP
22 INFINITE DELIGHTS
23 NUMBER SYSTEMS SYSTEMATICALLY
24 GAMES ARE VALUABLE!
IV. APPENDICES
A. FAMOUS CONJECTURES IN MATHEMATICS
B THE FOUNDATIONS OF SET THEORY
C ALL GAMES CONSIDERED
D TOP 40 LIST OF MATH THEOREMS. - INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INVITATION TO ABSTRACT MATHEMATICS
/ BAJNOK, BELA
: 2013
ABSTRACT / INHALTSTEXT
THIS UNDERGRADUATE TEXTBOOK IS INTENDED PRIMARILY FOR A TRANSITION
COURSE INTO HIGHER MATHEMATICS, ALTHOUGH IT IS WRITTEN WITH A BROADER
AUDIENCE IN MIND. THE HEART AND SOUL OF THIS BOOK IS PROBLEM SOLVING,
WHERE EACH PROBLEM IS CAREFULLY CHOSEN TO CLARIFY A CONCEPT, DEMONSTRATE
A TECHNIQUE, OR TO ENTHUSE. THE EXERCISES REQUIRE RELATIVELY EXTENSIVE
ARGUMENTS, CREATIVE APPROACHES, OR BOTH, THUS PROVIDING MOTIVATION FOR
THE READER. WITH A UNIFIED APPROACH TO A DIVERSE COLLECTION OF TOPICS,
THIS TEXT POINTS OUT CONNECTIONS, SIMILARITIES, AND DIFFERENCES AMONG
SUBJECTS WHENEVER POSSIBLE. THIS BOOK SHOWS STUDENTS THAT MATHEMATICS
IS A VIBRANT AND DYNAMIC HUMAN ENTERPRISE BY INCLUDING HISTORICAL
PERSPECTIVES AND NOTES ON THE GIANTS OF MATHEMATICS, BY MENTIONING
CURRENT ACTIVITY IN THE MATHEMATICAL COMMUNITY, AND BY DISCUSSING MANY
FAMOUS AND LESS WELL-KNOWN QUESTIONS THAT REMAIN OPEN FOR FUTURE
MATHEMATICIANS. IDEALLY, THIS TEXT SHOULD BE USED FOR A TWO SEMESTER
COURSE, WHERE THE FIRST COURSE HAS NO PREREQUISITES AND THE SECOND IS A
MORE CHALLENGING COURSE FOR MATH MAJORS; YET, THE FLEXIBLE STRUCTURE OF
THE BOOK ALLOWS IT TO BE USED IN A VARIETY OF SETTINGS, INCLUDING AS A
SOURCE OF VARIOUS INDEPENDENT-STUDY AND RESEARCH PROJECTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bajnok, Béla 1961- |
| author_GND | (DE-588)1035619946 |
| author_facet | Bajnok, Béla 1961- |
| author_role | aut |
| author_sort | Bajnok, Béla 1961- |
| author_variant | b b bb |
| building | Verbundindex |
| bvnumber | BV041078184 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)864090117 (DE-599)DNB1034428659 |
| dewey-full | 004 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 004 - Computer science |
| dewey-raw | 004 |
| dewey-search | 004 |
| dewey-sort | 14 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6636-9 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02849nmm a2200589zc 4500</leader><controlfield tag="001">BV041078184</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">130610s2013 |||| o||u| ||||||eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">13,O06</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1034428659</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461466352</subfield><subfield code="9">978-1-4614-6635-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461466369</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4614-6636-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4614-6636-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9781461466369</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)864090117</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1034428659</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">004</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">004</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bajnok, Béla</subfield><subfield code="d">1961-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1035619946</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An invitation to abstract mathematics</subfield><subfield code="c">Béla Bajnok</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</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></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematikunterricht</subfield><subfield code="0">(DE-588)4037949-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Methode</subfield><subfield code="0">(DE-588)4038971-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Methode</subfield><subfield code="0">(DE-588)4038971-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Mathematikunterricht</subfield><subfield code="0">(DE-588)4037949-8</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="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026055023</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="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-6636-9</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV041078184 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:39:04Z |
| institution | BVB |
| isbn | 9781461466352 9781461466369 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026055023 |
| oclc_num | 864090117 |
| open_access_boolean | |
| owner | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| owner_facet | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Bajnok, Béla 1961- Verfasser (DE-588)1035619946 aut An invitation to abstract mathematics Béla Bajnok New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Methode (DE-588)4038971-6 s Mathematikunterricht (DE-588)4037949-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-6636-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bajnok, Béla 1961- An invitation to abstract mathematics Mathematikunterricht (DE-588)4037949-8 gnd Methode (DE-588)4038971-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037949-8 (DE-588)4038971-6 (DE-588)4037944-9 |
| title | An invitation to abstract mathematics |
| title_auth | An invitation to abstract mathematics |
| title_exact_search | An invitation to abstract mathematics |
| title_full | An invitation to abstract mathematics Béla Bajnok |
| title_fullStr | An invitation to abstract mathematics Béla Bajnok |
| title_full_unstemmed | An invitation to abstract mathematics Béla Bajnok |
| title_short | An invitation to abstract mathematics |
| title_sort | an invitation to abstract mathematics |
| topic | Mathematikunterricht (DE-588)4037949-8 gnd Methode (DE-588)4038971-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematikunterricht Methode Mathematik |
| url | https://doi.org/10.1007/978-1-4614-6636-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bajnokbela aninvitationtoabstractmathematics |