The beauty of everyday mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English German |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2012
New York, NY Copernicus Books |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | xiii, 138 Seiten Diagramme 24 cm |
| ISBN: | 9783642221033 3642221033 9783642221040 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 THE SODA CAN PROBLEM 1
1.1 INTRODUCTION 1
1.2 THE PROBLEM 1
1.3 DETERMINING THE CENTER OF GRAVITY 2
1.4 THE LOWEST POSITION OF THE CENTER OF GRAVITY 5
1.5 DRINKING IN TWO MOUTHFULS 9
1.6 CENTER OF GRAVITY OF AN ORDINARY CAN 11
1.7 FINAL REMARKS 12
2 THE MIRROR PROBLEM 13
2.1 INTRODUCTION 13
2.2 THE MIRROR PROBLEM FOR INDIVIDUALS 13
2.3 THE MIRROR PROBLEM FOR GROUPS 15
2.4 THE PROBLEM 17
2.5 THE MIRROR PROBLEM EXPRESSED MATHEMATICALLY 17
2.6 RESULTS OF ANALYSIS OF THE MIRROR PROBLEM 20
3 THE LEG PROBLEM 23
3.1 INTRODUCTION 23
3.2 THE PROBLEM 23
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012138836
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
3.3 THE PHYSICAL MODEL 24
3.4 ANALYTICAL SOLUTION 25
3.5 GRAPHICAL SOLUTION 26
3.6 APPLICATION AND COMMENTS 29
3.7 A MNEMONIC DEVICE FOR N 29
3.8 COMMENTS ON THE NUMBER N 30
THE SKETCH PROBLEM 33
4.1 INTRODUCTION 33
4.2 THE PROBLEM 34
4.3 THE "PROOF 34
4.4 THE FIRST CLUE 36
4.5 THE COMPLETE TRUTH 38
4.6 THE MORAL 39
THE PARALLEL PARKING PROBLEM 41
5.1 INTRODUCTION 41
5.2 THE PROBLEM 42
5.3 REBECCA HOYLE'S FORMULA 43
5.4 CRITICIZING HOYLE'S FORMULA 44
5.5 THE TURNING CIRCLE 45
5.6 THE CENTER OF THE TURNING CIRCLE 47
5.7 THE SMALLEST POSSIBLE CIRCLE 48
5.8 THE EFFECTIVE RADIUS 49
5.9 OUR MODEL CAR 50
5.10 NEW FORMULAS FOR PARALLEL PARKING 51
5.11 THE FORMULA FOR A 45 DEGREE MANEUVER 53
5.12 THE OPTIMAL FORMULAS 54
5.13 CONCLUSIONS 55
5.14 VALUES FOR A FEW CARS 56
5.15 A LITTLE MENTAL EXERCISE 58
IMAGE 3
CONTENTS XI
6 THE PARKING GARAGE PROBLEM 59
6.1 INTRODUCTION 59
6.2 THE PROBLEM 59
6.3 FORWARD PARKING 60
6.4 BACKWARD PARKING 62
7 THE 85TH BIRTHDAY PROBLEM 67
7. 1 DEAR MOTHER-IN-LAW 67
7.2 WHAT DO MATHEMATICIANS DO? 68
7.3 THE NUMBERS OF YOUR LIFE 69
7.4 THE NUMBER ZERO 70
7.5 THE NUMBER 85 74
7.6 85 IS EVERYWHERE 77
7.7 STATE CAPITAL PROBLEM 79
8 THE SLIPPERY-ICE OR BREAD-SLICING PROBLEM 81
8.1 INTRODUCTION 81
8.2 THE PROBLEM 81
8.3 PHYSICAL BACKGROUND 82
8.4 THE MATHEMATICAL MODEL 83
8.5 THE SOLUTION 85
8.6 THE RESULT 89
8.7 INTERPRETATION OF THE RESULT 90
8.8 SOME FURTHER REMARKS 90
8.9 A LITTLE BRAIN TEASER 92
9 THE SNAIL-RACEHORSE PROBLEM 93
9.1 INTRODUCTION 93
9.2 THE PROBLEM 93
9.3 MATHEMATICAL FORMULATION 94
IMAGE 4
XII CONTENTS
9.4 SOLUTION OF THE DIFFERENTIAL EQUATION 96
9.5 CALCULATING THE TIME OF MEETING 96
9.6 EVALUATING THE EXAMPLE 97
9.7 SOLUTION OF STATE CAPITAL PROBLEM 98
10 THE DISCUS THROWER PROBLEM 99
10.1 INTRODUCTION 99
10.2 THE PROBLEM 100
10.3 THE "LOSS" FORMULA 100
10.4 APPLICATION 103
11 THE BEER COASTER PROBLEM 107
11.1 INTRODUCTION 107
11.2 THE PROBLEM 107
11.3 PHYSICAL BACKGROUND 108
11.4 MATHEMATICAL DESCRIPTION 108
11.5 THE SOLUTION 110
11.6 APPLICATION TO THE BEER COASTER PROBLEM 115
11.7 CONCLUDING REMARKS 118
12 THE TOASTING PROBLEM 119
12.1 INTRODUCTION 119
12.2 THE PROBLEM 120
12.3 MATHEMATICAL INDUCTION 123
12.4 APPLICATION 126
12.5 RELATED PROBLEMS 127
13 THE HEART PROBLEM 129
13.1 INTRODUCTION 129
13.2 THE PROBLEM 129
IMAGE 5
CONTENTS XIII
13.3 FIRST SOLUTION 129
13.4 ADDITIONAL SOLUTIONS 132
REFERENCES 135
INDEX 137 |
| any_adam_object | 1 |
| author | Herrmann, Norbert |
| author_GND | (DE-588)133458164 |
| author_facet | Herrmann, Norbert |
| author_role | aut |
| author_sort | Herrmann, Norbert |
| author_variant | n h nh |
| building | Verbundindex |
| bvnumber | BV039733154 |
| classification_rvk | SN 300 |
| ctrlnum | (OCoLC)765994962 (DE-599)DNB1012138836 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Sport Mathematik |
| format | Book |
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| language | English German |
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| spelling | Herrmann, Norbert (DE-588)133458164 aut Mathematik ist überall The beauty of everyday mathematics Norbert Herrmann Berlin ; Heidelberg Springer 2012 New York, NY Copernicus Books xiii, 138 Seiten Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Alltag (DE-588)4001307-8 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Mathematik (DE-588)4037944-9 s Alltag (DE-588)4001307-8 s DE-604 Unterhaltungsmathematik (DE-588)4124357-2 s Erscheint auch als Online-Ausgabe The Beauty of Everyday Mathematics X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3831171&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024580999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herrmann, Norbert The beauty of everyday mathematics Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematik (DE-588)4037944-9 gnd Alltag (DE-588)4001307-8 gnd |
| subject_GND | (DE-588)4124357-2 (DE-588)4037944-9 (DE-588)4001307-8 (DE-588)4144384-6 |
| title | The beauty of everyday mathematics |
| title_alt | Mathematik ist überall |
| title_auth | The beauty of everyday mathematics |
| title_exact_search | The beauty of everyday mathematics |
| title_full | The beauty of everyday mathematics Norbert Herrmann |
| title_fullStr | The beauty of everyday mathematics Norbert Herrmann |
| title_full_unstemmed | The beauty of everyday mathematics Norbert Herrmann |
| title_short | The beauty of everyday mathematics |
| title_sort | the beauty of everyday mathematics |
| topic | Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematik (DE-588)4037944-9 gnd Alltag (DE-588)4001307-8 gnd |
| topic_facet | Unterhaltungsmathematik Mathematik Alltag Beispielsammlung |
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