The mathematics of juggling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2003
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XVII, 226 S. Ill., graph. Darst. |
| ISBN: | 0387955135 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014503476 | ||
| 003 | DE-604 | ||
| 005 | 20210609 | ||
| 007 | t | ||
| 008 | 020603s2003 ad|| |||| 00||| eng d | ||
| 016 | 7 | |a 966143582 |2 DE-101 | |
| 020 | |a 0387955135 |9 0-387-95513-5 | ||
| 035 | |a (OCoLC)49750276 | ||
| 035 | |a (DE-599)BVBBV014503476 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-91G |a DE-634 |a DE-83 |a DE-11 |a DE-526 |a DE-188 | ||
| 050 | 0 | |a QA292 | |
| 082 | 0 | |a 515/.24 |2 21 | |
| 084 | |a SK 990 |0 (DE-625)143278: |2 rvk | ||
| 084 | |a 05A05 |2 msc | ||
| 084 | |a MAT 006 |2 stub | ||
| 084 | |a SPO 120 |2 stub | ||
| 100 | 1 | |a Polster, Burkard |d 1965- |e Verfasser |0 (DE-588)113535384 |4 aut | |
| 245 | 1 | 0 | |a The mathematics of juggling |c Burkhard Polster |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2003 | |
| 300 | |a XVII, 226 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Jonglage - Mathématiques | |
| 650 | 4 | |a Suites (Mathématiques) | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Juggling |x Mathematics | |
| 650 | 4 | |a Sequences (Mathematics) | |
| 650 | 0 | 7 | |a Jonglieren |0 (DE-588)4126538-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Jonglieren |0 (DE-588)4126538-5 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009883915 | ||
Datensatz im Suchindex
| _version_ | 1804129312760135680 |
|---|---|
| adam_text | BURKARD POLSTER THE MATHEMATICS OF JUGGLING WITH 114 ILLUSTRATIONS
SPRINGER CONTENTS PREFACE VII 1 JUGGLING: AN INTRODUCTION 1 1.1 WHAT IS
JUGGLING? 1 1.2 A VERY SHORT HISTORY OF JUGGLING 2 1.3 REC. JUGGLING 4 2
SIMPLE JUGGLING 7 2.1 SIMPLIFYING JUGGLING PATTERNS 7 2.2 JUGGLING
DIAGRAMS 9 2.3 BASIC JUGGLING PATTERNS 11 2.4 AVERAGE THEOREM 14 2.5
SITE SWAPS AND FLATTENING ALGORITHM 17 2.6 PERMUTATION TEST 22 2.6.1 A
METHOD TO CONSTRUCT ALL JUGGLING SEQUENCES ... 24 2.6.2 INVERSE OF A
JUGGLING SEQUENCE 25 2.6.3 PICK A PATTERN PROCEDURE 28 2.6.4 CONVERSE OF
THE AVERAGE THEOREM 29 2.6.5 SCRAMBLABLE JUGGLING SEQUENCES 34 2.6.6
MAGIC JUGGLING SEQUENCES 35 2.7 HOW MANY WAYS TO JUGGLE? 37 2.7.1
JUGGLING CARDS 38 2.7.2 WEIGHTS OF JUGGLING SEQUENCES 42 2.8 JUGGLING
STATES AND STATE GRAPHS 44 CONTENTS 2.8.1 STATE GRAPHS 44 2.8.2
GROUND-STATE AND EXCITED-STATE SEQUENCES 47 2.8.3 THROWS FROM STATES 49
2.8.4 PRIME JUGGLING SEQUENCES AND LOOPS 50 2.8.5 COMPLEMENTS OF STATE
GRAPHS 58 2.8.6 TRANSITION MATRICES 62 MULTIPLEX JUGGLING 65 3.1 AVERAGE
THEOREM AND PERMUTATION TEST 66 3.2 NUMBER OF MULTIPLEX JUGGLING
SEQUENCES 68 3.3 WEIGHTS OF MULTIPLEX JUGGLING SEQUENCES 73 3.4
MULTIPLEX STATE GRAPHS 75 3.4.1 PRIME MULTIPLEX JUGGLING SEQUENCES AND
LOOPS ... 77 3.4.2 THROWS FROM STATES 81 3.5 OPERATIONS INVOLVING
JUGGLING SEQUENCES 81 MULTIHAND JUGGLING 85 4.1 JUGGLING MATRICES 85 4.2
AVERAGE THEOREM AND PERMUTATION TEST 88 4.3 MULTIHAND STATE GRAPHS 90
4.4 OPERATIONS INVOLVING JUGGLING MATRICES 92 4.5 SPECIAL CLASSES OF
JUGGLING MATRICES 94 4.6 UNIFORM JUGGLING AND SHANNON S THEOREMS 96 4.7
SHANNON S THEOREMS FOR JUGGLING SEQUENCES 103 4.8 CASCADES AND FOUNTAINS
107 4.9 JUGGLING BALLS AND HANDS 110 4.10 JUGGLING LABELED BALLS 112
4.11 DECOMPOSING SIMPLE JUGGLING SEQUENCES 113 PRACTICAL JUGGLING 117
5.1 JUGGLABLE JUGGLING SEQUENCES 117 5.2 JUGGLING MADE EASY 123 5.2.1
ZERO-GRAVITY JUGGLING 124 5.2.2 BOUNCE JUGGLING 126 5.2.3 ROBOT JUGGLING
127 5.3 REAL-WORLD JUGGLING WITH GRAVITY AND SPIN 129 5.3.1 ACCURACY AND
DWELL TIME 130 5.3.2 WHY CLUBS AND BALLS LINE UP 132 5.4 WHAT IS ALL
THIS NUMBERS JUGGLING GOOD FOR? 137 JINGLING, OR RINGING THE CHANGES 141
6.1 ENTER A BAND OF RINGERS . . . . 141 6.1.1 BASIC DEFINITIONS 141
6.1.2 HISTORY AND PRACTICE OF CHANGE RINGING 144 6.2 JUGGLING THE
CHANGES 146 CONTENTS XVII 6.2.1 TURNING BELLS INTO BALLS 146 6.2.2
TURNING EXTENTS INTO SITE SWAPS 149 6.3 MATHEMATICAL NOTATION AND BASIC
OPERATIONS 150 6.3.1 NOTATION 151 6.3.2 RINGING SEQUENCES FROM RINGING
SEQUENCES 152 6.4 PRINCIPLES AND METHODS 154 6.4.1 PRINCIPLES 154 6.4.2
METHODS 155 6.4.3 EXTENTS BASED ON PRINCIPLES OR METHODS 157 6.5
GRAPHICAL REPRESENTATIONS OF EXTENTS 159 6.5.1 CAYLEY GRAPHS 159 6.5.2
FOUR BELLS 160 6.5.3 FIVE BELLS 163 6.5.4 MANY BELLS 166 6.5.5 NAMES 167
6.6 EXTENTS FROM GROUPS 168 6.6.1 LEFT COSETS AND PLAIN BOB 169 6.6.2
RIGHT COSETS AND NO-CALL PRINCIPLES 173 6.7 COMPUTERS, BOBS, AND SINGLES
175 JUGGLING LOOSE ENDS 177 7.1 DOES GOD JUGGLE? 177 7.2 JUGGLING BRAIDS
181 7.3 SPINNING TOP OF A PALM-SPUN PYRAMID 186 7.4 USELESS JUGGLING 189
7.4.1 * JUGGLING WORDS 189 7.4.2 JUGGLING RATIONAL AND IRRATIONAL
NUMBERS 191 7.4.3 ANTIBALLS, ANTITHROWS, AND CAUSAL DIAGRAMS 192 7.5
JUGGLING AND MATH STORIES 197 7.5.1 RIDDLE 197 7.5.2 LORD VALENTINE S
CASTLE 198 7.5.3 FAMOUS JUGGLER-MATHEMATICIANS 199 7.6 FURTHER READING
199 APPENDIX: STEREOGRAMS OF HAMILTONIAN CYCLES 201 REFERENCES 209 INDEX
221
|
| any_adam_object | 1 |
| author | Polster, Burkard 1965- |
| author_GND | (DE-588)113535384 |
| author_facet | Polster, Burkard 1965- |
| author_role | aut |
| author_sort | Polster, Burkard 1965- |
| author_variant | b p bp |
| building | Verbundindex |
| bvnumber | BV014503476 |
| callnumber-first | Q - Science |
| callnumber-label | QA292 |
| callnumber-raw | QA292 |
| callnumber-search | QA292 |
| callnumber-sort | QA 3292 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 990 |
| classification_tum | MAT 006 SPO 120 |
| ctrlnum | (OCoLC)49750276 (DE-599)BVBBV014503476 |
| dewey-full | 515/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.24 |
| dewey-search | 515/.24 |
| dewey-sort | 3515 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Sportwissenschaft |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01758nam a2200481 c 4500</leader><controlfield tag="001">BV014503476</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210609 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020603s2003 ad|| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">966143582</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387955135</subfield><subfield code="9">0-387-95513-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)49750276</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014503476</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-20</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-526</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA292</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.24</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 990</subfield><subfield code="0">(DE-625)143278:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05A05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 006</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SPO 120</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Polster, Burkard</subfield><subfield code="d">1965-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113535384</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The mathematics of juggling</subfield><subfield code="c">Burkhard Polster</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 226 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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Jonglage - Mathématiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Suites (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Juggling</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sequences (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Jonglieren</subfield><subfield code="0">(DE-588)4126538-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Jonglieren</subfield><subfield code="0">(DE-588)4126538-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</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=009883915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009883915</subfield></datafield></record></collection> |
| id | DE-604.BV014503476 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:09Z |
| institution | BVB |
| isbn | 0387955135 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009883915 |
| oclc_num | 49750276 |
| open_access_boolean | |
| owner | DE-20 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-526 DE-188 |
| owner_facet | DE-20 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-526 DE-188 |
| physical | XVII, 226 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| spelling | Polster, Burkard 1965- Verfasser (DE-588)113535384 aut The mathematics of juggling Burkhard Polster New York [u.a.] Springer 2003 XVII, 226 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Jonglage - Mathématiques Suites (Mathématiques) Mathematik Juggling Mathematics Sequences (Mathematics) Jonglieren (DE-588)4126538-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Jonglieren (DE-588)4126538-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Polster, Burkard 1965- The mathematics of juggling Jonglage - Mathématiques Suites (Mathématiques) Mathematik Juggling Mathematics Sequences (Mathematics) Jonglieren (DE-588)4126538-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4126538-5 (DE-588)4114528-8 |
| title | The mathematics of juggling |
| title_auth | The mathematics of juggling |
| title_exact_search | The mathematics of juggling |
| title_full | The mathematics of juggling Burkhard Polster |
| title_fullStr | The mathematics of juggling Burkhard Polster |
| title_full_unstemmed | The mathematics of juggling Burkhard Polster |
| title_short | The mathematics of juggling |
| title_sort | the mathematics of juggling |
| topic | Jonglage - Mathématiques Suites (Mathématiques) Mathematik Juggling Mathematics Sequences (Mathematics) Jonglieren (DE-588)4126538-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Jonglage - Mathématiques Suites (Mathématiques) Mathematik Juggling Mathematics Sequences (Mathematics) Jonglieren Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT polsterburkard themathematicsofjuggling |