Groups and symmetry: a guide to discovering mathematics
Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement o...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | Mathematical world
5 |
| Schlagworte: | |
| Zusammenfassung: | Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you. |
| Beschreibung: | VII, 102 S. Ill., graph. Darst. |
| ISBN: | 0821804502 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010801041 | ||
| 003 | DE-604 | ||
| 005 | 19970312 | ||
| 007 | t | ||
| 008 | 960618s1996 ad|| |||| 00||| eng d | ||
| 020 | |a 0821804502 |9 0-8218-0450-2 | ||
| 035 | |a (OCoLC)32746095 | ||
| 035 | |a (DE-599)BVBBV010801041 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-384 |a DE-739 |a DE-29T |a DE-91G |a DE-824 |a DE-355 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA174.2 | |
| 082 | 0 | |a 511.3/3 |2 20 | |
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 084 | |a MAT 200f |2 stub | ||
| 084 | |a 20B05 |2 msc | ||
| 100 | 1 | |a Farmer, David W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Groups and symmetry |b a guide to discovering mathematics |c David W. Farmer |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1996 | |
| 300 | |a VII, 102 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical world |v 5 | |
| 520 | 3 | |a Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you. | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Pattern perception | |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Symmetriegruppe |0 (DE-588)4184201-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mustererkennung |0 (DE-588)4040936-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Symmetriegruppe |0 (DE-588)4184201-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Mustererkennung |0 (DE-588)4040936-3 |D s |
| 689 | 1 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Mathematical world |v 5 |w (DE-604)BV004574320 |9 5 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007215156 | ||
Datensatz im Suchindex
| _version_ | 1804125284259069952 |
|---|---|
| any_adam_object | |
| author | Farmer, David W. |
| author_facet | Farmer, David W. |
| author_role | aut |
| author_sort | Farmer, David W. |
| author_variant | d w f dw dwf |
| building | Verbundindex |
| bvnumber | BV010801041 |
| callnumber-first | Q - Science |
| callnumber-label | QA174 |
| callnumber-raw | QA174.2 |
| callnumber-search | QA174.2 |
| callnumber-sort | QA 3174.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 |
| classification_tum | MAT 200f |
| ctrlnum | (OCoLC)32746095 (DE-599)BVBBV010801041 |
| dewey-full | 511.3/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/3 |
| dewey-search | 511.3/3 |
| dewey-sort | 3511.3 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02490nam a2200481 cb4500</leader><controlfield tag="001">BV010801041</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19970312 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960618s1996 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821804502</subfield><subfield code="9">0-8218-0450-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)32746095</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010801041</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-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA174.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3/3</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 200f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20B05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Farmer, David W.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Groups and symmetry</subfield><subfield code="b">a guide to discovering mathematics</subfield><subfield code="c">David W. Farmer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 102 S.</subfield><subfield code="b">Ill., graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical world</subfield><subfield code="v">5</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Pattern perception</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetriegruppe</subfield><subfield code="0">(DE-588)4184201-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mustererkennung</subfield><subfield code="0">(DE-588)4040936-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Symmetriegruppe</subfield><subfield code="0">(DE-588)4184201-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mustererkennung</subfield><subfield code="0">(DE-588)4040936-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical world</subfield><subfield code="v">5</subfield><subfield code="w">(DE-604)BV004574320</subfield><subfield code="9">5</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007215156</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV010801041 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:59:07Z |
| institution | BVB |
| isbn | 0821804502 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007215156 |
| oclc_num | 32746095 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-83 DE-11 DE-188 |
| owner_facet | DE-20 DE-384 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-83 DE-11 DE-188 |
| physical | VII, 102 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Mathematical world |
| series2 | Mathematical world |
| spelling | Farmer, David W. Verfasser aut Groups and symmetry a guide to discovering mathematics David W. Farmer Providence, RI American Math. Soc. 1996 VII, 102 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical world 5 Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you. Group theory Pattern perception Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Symmetriegruppe (DE-588)4184201-7 gnd rswk-swf Mustererkennung (DE-588)4040936-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Symmetriegruppe (DE-588)4184201-7 s DE-604 Mustererkennung (DE-588)4040936-3 s Gruppentheorie (DE-588)4072157-7 s Mathematical world 5 (DE-604)BV004574320 5 |
| spellingShingle | Farmer, David W. Groups and symmetry a guide to discovering mathematics Mathematical world Group theory Pattern perception Gruppentheorie (DE-588)4072157-7 gnd Symmetriegruppe (DE-588)4184201-7 gnd Mustererkennung (DE-588)4040936-3 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4184201-7 (DE-588)4040936-3 (DE-588)4151278-9 |
| title | Groups and symmetry a guide to discovering mathematics |
| title_auth | Groups and symmetry a guide to discovering mathematics |
| title_exact_search | Groups and symmetry a guide to discovering mathematics |
| title_full | Groups and symmetry a guide to discovering mathematics David W. Farmer |
| title_fullStr | Groups and symmetry a guide to discovering mathematics David W. Farmer |
| title_full_unstemmed | Groups and symmetry a guide to discovering mathematics David W. Farmer |
| title_short | Groups and symmetry |
| title_sort | groups and symmetry a guide to discovering mathematics |
| title_sub | a guide to discovering mathematics |
| topic | Group theory Pattern perception Gruppentheorie (DE-588)4072157-7 gnd Symmetriegruppe (DE-588)4184201-7 gnd Mustererkennung (DE-588)4040936-3 gnd |
| topic_facet | Group theory Pattern perception Gruppentheorie Symmetriegruppe Mustererkennung Einführung |
| volume_link | (DE-604)BV004574320 |
| work_keys_str_mv | AT farmerdavidw groupsandsymmetryaguidetodiscoveringmathematics |